1328748941520
1,328,748,941,520 is an even composite number composed of seven prime numbers multiplied together.
What does the number 1328748941520 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1760 divisors.
1328748941520 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, seven hundred sixty divisors.
Prime factorization of 1328748941520:
24 × 310 × 5 × 7 × 11 × 13 × 281
(2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 7 × 11 × 13 × 281)See below for interesting mathematical facts about the number 1328748941520 from the Numbermatics database.
Names of 1328748941520
- Cardinal: 1328748941520 can be written as One trillion, three hundred twenty-eight billion, seven hundred forty-eight million, nine hundred forty-one thousand, five hundred twenty.
Scientific notation
- Scientific notation: 1.32874894152 × 1012
Factors of 1328748941520
Divisors of 1328748941520
- Number of divisors d(n): 1760
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 18 20 21 22 24 26 27 28 30 33 35 36 39 40 42 44 45 48 52 54 55 56 60 63 65 66 70 72 77 78 80 81 84 88 90 91 99 104 105 108 110 112 117 120 126 130 132 135 140 143 144 154 156 162 165 168 176 180 182 189 195 198 208 210 216 220 231 234 240 243 252 260 264 270 273 280 281 286 297 308 312 315 324 330 336 351 360 364 378 385 390 396 405 420 429 432 440 455 462 468 486 495 504 520 528 540 546 560 562 567 572 585 594 616 624 630 648 660 693 702 715 720 728 729 756 770 780 792 810 819 840 843 858 880 891 910 924 936 945 972 990 1001 1008 1040 1053 1080 1092 1124 1134 1144 1155 1170 1188 1215 1232 1260 1287 1296 1320 1365 1386 1404 1405 1430 1456 1458 1485 1512 1540 1560 1584 1620 1638 1680 1686 1701 1716 1755 1782 1820 1848 1872 1890 1944 1967 1980 2002 2079 2106 2145 2160 2184 2187 2248 2268 2288 2310 2340 2376 2430 2457 2520 2529 2574 2640 2673 2730 2772 2808 2810 2835 2860 2916 2970 3003 3024 3080 3091 3120 3159 3240 3276 3372 3402 3432 3465 3510 3564 3640 3645 3653 3696 3780 3861 3888 3934 3960 4004 4095 4158 4212 4215 4290 4368 4374 4455 4496 4536 4620 4680 4752 4860 4914 5005 5040 5058 5103 5148 5265 5346 5460 5544 5616 5620 5670 5720 5832 5901 5940 6006 6160 6182 6237 6318 6435 6480 6552 6561 6744 6804 6864 6930 7020 7128 7280 7290 7306 7371 7560 7587 7722 7868 7920 8008 8019 8190 8316 8424 8430 8505 8580 8748 8910 9009 9072 9240 9273 9360 9477 9720 9828 9835 10010 10116 10206 10296 10395 10530 10692 10920 10935 10959 11088 11240 11340 11440 11583 11664 11802 11880 12012 12285 12364 12474 12636 12645 12870 13104 13122 13365 13488 13608 13860 14040 14256 14580 14612 14742 15015 15120 15174 15309 15444 15455 15736 15795 16016 16038 16380 16632 16848 16860 17010 17160 17496 17703 17820 18018 18265 18480 18546 18711 18954 19305 19440 19656 19670 19683 20020 20232 20412 20592 20790 21060 21384 21637 21840 21870 21918 22113 22480 22680 22761 23166 23604 23760 24024 24057 24570 24728 24948 25272 25290 25515 25571 25740 26244 26730 27027 27216 27720 27819 28080 28431 29160 29224 29484 29505 30030 30348 30618 30888 30910 31185 31472 31590 32076 32760 32805 32877 33264 33720 34020 34320 34749 34992 35406 35640 36036 36530 36855 37092 37422 37908 37935 38610 39312 39340 39366 40040 40095 40183 40464 40824 41580 42120 42768 43274 43740 43836 44226 45045 45360 45522 45927 46332 46365 47208 47385 48048 48114 49140 49456 49896 50544 50580 51030 51142 51480 52488 53109 53460 54054 54795 55440 55638 56133 56862 57915 58320 58448 58968 59010 59049 60060 60696 61236 61776 61820 62370 63180 64152 64911 65520 65610 65754 66339 67440 68040 68283 69498 70812 71280 72072 72171 73060 73710 74184 74844 75816 75870 76545 76713 77220 78680 78732 80080 80190 80366 81081 81648 83160 83457 84240 85293 86548 87480 87672 88452 88515 90090 91044 91854 92664 92730 93555 94416 94770 96228 98280 98415 98631 99792 101160 102060 102284 102960 104247 104976 106218 106920 108108 108185 109590 110565 111276 112266 113724 113805 115830 117936 118020 118098 120120 120285 120549 121392 122472 123640 124740 126360 127855 128304 129822 131220 131508 132678 135135 136080 136566 137781 138996 139095 141624 142155 144144 144342 146120 147420 148368 149688 151632 151740 153090 153426 154440 157360 157464 159327 160380 160732 162162 164385 166320 166914 168399 170586 173096 173745 174960 175344 176904 177030 180180 182088 183708 185328 185460 187110 189540 192456 194733 196560 196830 197262 199017 200915 202320 204120 204568 204849 208494 212436 213840 216216 216370 216513 219180 221130 222552 224532 227448 227610 229635 230139 231660 236040 236196 240240 240570 241098 243243 244944 247280 249480 250371 252720 255710 255879 259644 262440 263016 265356 265545 270270 273132 275562 277992 278190 280665 281281 283248 284310 288684 292240 294840 295245 295893 299376 303480 306180 306852 308880 312741 314928 318654 320760 321464 324324 324555 328770 331695 333828 336798 341172 341415 346192 347490 353808 354060 360360 360855 361647 364176 367416 370920 374220 379080 383565 384912 389466 393660 394524 398034 401830 405405 408240 409136 409698 413343 416988 417285 424872 426465 432432 432740 433026 438360 442260 445104 449064 454896 455220 459270 460278 463320 472080 472392 477981 481140 482196 486486 493155 498960 500742 505197 511420 511758 519288 521235 524880 526032 530712 531090 540540 546264 551124 555984 556380 561330 562562 568620 577368 584199 589680 590490 591786 597051 602745 606960 612360 613704 614547 625482 637308 641520 642928 648648 649110 649539 657540 663390 667656 673596 682344 682830 688905 690417 694980 708120 720720 721710 723294 729729 734832 741840 748440 751113 758160 767130 767637 778932 787320 789048 796068 796635 803660 810810 819396 826686 833976 834570 841995 843843 849744 852930 865480 866052 876720 884520 887679 898128 910440 918540 920556 926640 938223 944784 955962 962280 964392 972972 973665 986310 995085 1001484 1010394 1022840 1023516 1024245 1038576 1042470 1061424 1062180 1081080 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19702683 20029680 20207880 20252232 20280051 20470320 20712510 21031164 21304296 21493836 21509145 21698820 21891870 22123692 22502480 22517352 22533390 22733865 22783761 22943088 23367960 23671440 23882040 23967333 24249456 24581880 24855012 25019280 25315290 25810974 25981560 26038584 26270244 26288955 26630370 26867295 27040068 27616680 27654615 28041552 28146690 28658448 28678860 28931760 29189160 29293407 29498256 30044520 30311820 30378348 30705480 31068765 31546746 31956444 32548230 32837805 33067440 33140016 33185538 33753720 33776028 33800085 34414632 35026992 35051940 35507160 35823060 36053424 36374184 36872820 37282518 37528920 37972935 38238480 38716461 39057876 39405366 39945555 40415760 40504464 40560102 41425020 42062328 42220035 42608592 42987672 43018290 43397640 43783740 44247384 45034704 45066780 45467730 45567522 46735920 47320119 47764080 47934666 48822345 49163760 49710024 50630580 51621948 51963120 52077168 52540488 52577910 53260740 53734590 54080136 55233360 55309230 55923777 56293380 57357720 58378320 58586814 59108049 60089040 60623640 60756696 60840153 61410960 62137530 63093492 63912888 64527435 65096460 65675610 66371076 67507440 67552056 67600170 68351283 68829264 70103880 71014320 71646120 71901999 72748368 73745640 74565036 75057840 75945870 77432922 78115752 78810732 78866865 79891110 81120204 82850040 82963845 84124656 84440070 85975344 86036580 86795280 87567480 87880221 88494768 90133560 90935460 91135044 93206295 94640238 95869332 97644690 98513415 99420048 101261160 101400255 103243896 105080976 105155820 106521480 107469180 108160272 110618460 111847554 112586760 113918805 114715440 116149383 117173628 118216098 119836665 121247280 121513392 121680306 124275060 126186984 127825776 129054870 130192920 131351220 132742152 135104112 135200340 136702566 140207760 141960357 143292240 143803998 146467035 147491280 149130072 151891740 154865844 156231504 157621464 157733730 159782220 162240408 165700080 165927690 167771331 168880140 172073160 175134960 175760442 180267120 181870920 182270088 182520459 186412590 189280476 191738664 193582305 195289380 197026830 202522320 202800510 205053849 206487792 210311640 213042960 214938360 215705997 221236920 223695108 225173520 227837610 232298766 234347256 236432196 236600595 239673330 243360612 248550120 252373968 258109740 260385840 262702440 263640663 265484304 270400680 273405132 279618885 283920714 287607996 292934070 295540245 298260144 303783480 304200765 309731688 315242928 315467460 319564440 324480816 331855380 335542662 337760280 341756415 344146320 351520884 359509995 363741840 364540176 365040918 372825180 378560952 383477328 387164610 390578760 394053660 405601020 410107698 420623280 425881071 429876720 431411994 439401105 442473840 447390216 455675220 464597532 468694512 472864392 473201190 479346660 486721224 497100240 503313993 516219480 525404880 527281326 540801360 546810264 559237770 567841428 575215992 580746915 585868140 591080490 607566960 608401530 615161547 619463376 630934920 639128880 663710760 671085324 675520560 683512830 703041768 709801785 719019990 730081836 745650360 757121904 774329220 781157520 788107320 790921989 811202040 820215396 838856655 851762142 862823988 878802210 894780432 911350440 912602295 929195064 945728784 946402380 958693320 973442448 1006627986 1025269245 1032438960 1054562652 1078529985 1093620528 1118475540 1135682856 1150431984 1161493830 1171736280 1182160980 1216803060 1230323094 1261869840 1277643213 1318203315 1327421520 1342170648 1367025660 1406083536 1419603570 1438039980 1460163672 1491300720 1509941979 1548658440 1576214640 1581843978 1622404080 1640430792 1677713310 1703524284 1725647976 1757604420 1822700880 1825204590 1845484641 1858390128 1892804760 1917386640 2013255972 2050538490 2109125304 2129405355 2157059970 2236951080 2271365712 2322987660 2343472560 2364321960 2372765967 2433606120 2460646188 2516569965 2555286426 2636406630 2684341296 2734051320 2839207140 2876079960 2920327344 3019883958 3075807735 3097316880 3163687956 3280861584 3355426620 3407048568 3451295952 3515208840 3650409180 3690969282 3785609520 3954609945 4026511944 4101076980 4218250608 4258810710 4314119940 4473902160 4645975320 4728643920 4745531934 4867212240 4921292376 5033139930 5110572852 5272813260 5468102640 5536453923 5678414280 5752159920 6039767916 6151615470 6327375912 6388216065 6710853240 6814097136 7030417680 7300818360 7381938564 7549709895 7909219890 8053023888 8202153960 8517621420 8628239880 9227423205 9291950640 9491063868 9842584752 10066279860 10221145704 10545626520 11072907846 11356828560 11863829835 12079535832 12303230940 12654751824 12776432130 13421706480 14601636720 14763877128 15099419790 15818439780 16404307920 16609361769 17035242840 17256479760 18454846410 18982127736 20132559720 20442291408 21091253040 22145815692 23727659670 24159071664 24606461880 25552864260 27682269615 29527754256 30198839580 31636879560 33218723538 34070485680 36909692820 37964255472 40265119440 44291631384 47455319340 49212923760 51105728520 55364539230 60397679160 63273759120 66437447076 73819385640 83046808845 88583262768 94910638680 102211457040 110729078460 120795358320 132874894152 147638771280 166093617690 189821277360 221458156920 265749788304 332187235380 442916313840 664374470760 1328748941520
- Sum of all divisors σ(n): 6243996858624
- Sum of proper divisors (its aliquot sum) s(n): 4915247917104
- 1328748941520 is an abundant number, because the sum of its proper divisors (4915247917104) is greater than itself. Its abundance is 3586498975584
Bases of 1328748941520
- Binary: 100110101010111111001101111010000110100002
- Hexadecimal: 0x1355F9BD0D0
- Base-36: GYF2T900
Squares and roots of 1328748941520
- 1328748941520 squared (13287489415202) is 1765573749590520379910400
- 1328748941520 cubed (13287489415203) is 2346004250943901488231932272439808000
-
The
square root of 1328748941520 is 1152713.7292146735 -
The
cube root of 1328748941520 is 10993.7952377119
Scales and comparisons
How big is 1328748941520?- 1,328,748,941,520 seconds is equal to 42,250 years, 5 weeks, 3 days, 16 hours, 12 minutes.
-
To count from 1 to 1,328,748,941,520 would take you about one hundred five thousand, six hundred twenty-five years!
This is a very rough estimate, based on a speaking rate of half a second every third order of magnitude. If you speak quickly, you could probably say any randomly-chosen number between one and a thousand in around half a second. Very big numbers obviously take longer to say, so we add half a second for every extra x1000. (We do not count involuntary pauses, bathroom breaks or the necessity of sleep in our calculation!)
- A cube with a volume of 1328748941520 cubic inches would be around 916.1 feet tall.
Recreational maths with 1328748941520
- 1328748941520 backwards is 0251498478231
- 1328748941520 is a
Harshad number . - The number of decimal digits it has is: 13
- The sum of 1328748941520's digits is 54
- More coming soon!
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MLA style:
"Number 1328748941520 - Facts about the integer". Numbermatics.com. 2024. Web. 28 May 2024.
APA style:
Numbermatics. (2024). Number 1328748941520 - Facts about the integer. Retrieved 28 May 2024, from https://numbermatics.com/n/1328748941520/
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Numbermatics. 2024. "Number 1328748941520 - Facts about the integer". https://numbermatics.com/n/1328748941520/
The information we have on file for 1328748941520 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
Keywords: Divisors of 1328748941520, math, Factors of 1328748941520, curriculum, school, college, exams, university, Prime factorization of 1328748941520, STEM, science, technology, engineering, physics, economics, calculator, one trillion, three hundred twenty-eight billion, seven hundred forty-eight million, nine hundred forty-one thousand, five hundred twenty.