1350138200320
1,350,138,200,320 is an even composite number composed of eight prime numbers multiplied together.
1350138200320 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of one thousand, one hundred fifty-two divisors.
Prime factorization of 1350138200320:
28 × 5 × 7 × 13 × 19 × 61 × 73 × 137
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 7 × 13 × 19 × 61 × 73 × 137)See below for interesting mathematical facts about the number 1350138200320 from the Numbermatics database.
Names of 1350138200320
- Cardinal: 1350138200320 can be written as One trillion, three hundred fifty billion, one hundred thirty-eight million, two hundred thousand, three hundred twenty.
Scientific notation
- Scientific notation: 1.35013820032 × 1012
Factors of 1350138200320
Divisors of 1350138200320
- Number of divisors d(n): 1152
-
Complete list of divisors:
1 2 4 5 7 8 10 13 14 16 19 20 26 28 32 35 38 40 52 56 61 64 65 70 73 76 80 91 95 104 112 122 128 130 133 137 140 146 152 160 182 190 208 224 244 247 256 260 266 274 280 292 304 305 320 364 365 380 416 427 448 455 488 494 511 520 532 548 560 584 608 610 640 665 685 728 730 760 793 832 854 896 910 949 959 976 988 1022 1040 1064 1096 1120 1159 1168 1216 1220 1235 1280 1330 1370 1387 1456 1460 1520 1586 1664 1708 1729 1781 1792 1820 1898 1918 1952 1976 2044 2080 2128 2135 2192 2240 2318 2336 2432 2440 2470 2555 2603 2660 2740 2774 2912 2920 3040 3172 3328 3416 3458 3562 3640 3796 3836 3904 3952 3965 4088 4160 4256 4270 4384 4453 4480 4636 4672 4745 4795 4864 4880 4940 5110 5206 5320 5480 5548 5551 5795 5824 5840 6080 6344 6643 6832 6916 6935 7124 7280 7592 7672 7808 7904 7930 8113 8176 8320 8357 8512 8540 8645 8768 8905 8906 8960 9272 9344 9490 9590 9709 9760 9880 10001 10220 10412 10640 10960 11096 11102 11590 11648 11680 12160 12467 12688 13015 13286 13664 13832 13870 14248 14560 15067 15184 15344 15616 15808 15860 16226 16352 16640 16714 17024 17080 17290 17536 17810 17812 18031 18221 18544 18688 18980 19180 19418 19520 19760 20002 20440 20824 21280 21920 22192 22204 22265 23180 23296 23360 24320 24934 25376 26030 26572 27328 27664 27740 27755 28496 29120 30134 30368 30688 31171 31616 31720 32452 32704 33215 33428 33839 34048 34160 34580 35072 35620 35624 36062 36442 37088 37960 38360 38836 39040 39520 40004 40565 40880 41648 41785 42560 43840 44384 44408 44530 46360 46720 48545 49868 50005 50752 52060 53144 54656 55328 55480 55510 56992 57889 58240 58499 60268 60736 61376 62335 62342 63232 63440 64904 65408 66430 66856 67678 68320 69160 70007 71240 71248 72124 72884 74176 75335 75920 76720 77672 78080 79040 80008 81130 81760 83296 83570 84607 85120 87680 88768 88816 89060 90155 91105 92720 93440 97090 99736 100010 101504 104120 105469 106288 108641 109312 110656 110960 111020 113984 115778 116480 116998 120536 121472 122752 124670 124684 126217 126880 129808 130013 130816 132860 133712 135356 136640 138320 140014 142480 142496 144248 145768 148352 150670 151840 153440 155344 155855 158080 158783 160016 162260 163520 166592 167140 169195 169214 170240 175360 177536 177632 178120 180310 182210 185440 190019 194180 199472 200020 203008 208240 210938 212576 217282 221312 221920 222040 227968 231556 233996 236873 241072 242944 245504 249340 249368 252434 253760 259616 260026 265720 267424 270712 273280 276640 280028 284960 284992 288496 289445 291536 292495 296704 301340 303680 306880 310688 311710 316160 317566 320032 324520 327040 333184 334280 338390 338428 350035 355072 355264 356240 360620 364420 370880 380038 388360 398944 400040 405223 416480 421876 423035 425152 434564 442624 443840 444080 455936 463112 467992 473746 482144 498680 498736 504868 507520 519232 520052 527345 531440 534848 541424 543205 546560 553280 560056 569920 569984 576992 578890 583072 584990 592249 602680 607360 610061 613760 621376 623420 631085 635132 640064 649040 650065 654080 666368 668560 676780 676856 700070 710528 712480 721240 728840 741760 760076 760487 776720 793915 797888 800080 810446 832960 843752 846070 850304 869128 887680 888160 910091 926224 935984 947492 950095 964288 997360 997472 1009736 1015040 1038464 1040104 1054690 1062880 1069696 1082848 1086410 1099891 1106560 1111481 1120112 1139840 1139968 1153984 1157780 1166144 1169980 1184365 1184498 1205360 1214720 1220122 1227520 1242752 1246840 1262170 1270264 1280128 1298080 1300130 1330133 1337120 1353560 1353712 1400140 1421056 1424960 1442480 1457680 1483520 1520152 1520974 1553440 1587830 1595776 1600160 1620892 1665920 1687504 1692140 1700608 1738256 1775360 1776320 1820182 1852448 1871968 1894984 1900190 1928576 1994720 1994944 2019472 2026115 2064179 2076928 2080208 2109380 2125760 2139392 2165696 2172820 2199782 2213120 2222962 2240224 2279680 2307968 2315560 2332288 2339960 2368730 2368996 2410720 2440244 2470247 2485504 2493680 2524340 2540528 2560256 2596160 2600260 2660266 2674240 2707120 2707424 2800280 2849920 2884960 2915360 2961245 3040304 3041948 3050305 3106880 3175660 3191552 3200320 3241784 3331840 3375008 3384280 3476512 3552640 3640364 3704896 3743936 3789968 3800380 3802435 3857152 3989440 3989888 4038944 4052230 4128358 4160416 4218760 4251520 4270427 4331392 4345640 4399564 4445924 4480448 4550455 4615936 4631120 4664576 4679920 4737460 4737992 4821440 4880488 4940494 4987360 5048680 5081056 5192320 5200520 5320532 5348480 5414240 5414848 5499455 5557405 5600560 5699840 5769920 5830720 5922490 6080608 6083896 6100610 6213760 6351320 6400640 6483568 6650665 6750016 6768560 6953024 7105280 7280728 7409792 7487872 7579936 7600760 7604870 7699237 7930793 7978880 7979776 8077888 8104460 8256716 8320832 8437520 8503040 8540854 8662784 8691280 8799128 8891848 8960896 9100910 9262240 9359840 9474920 9475984 9642880 9760976 9880988 9974720 10097360 10162112 10320895 10384640 10401040 10641064 10696960 10828480 10829696 10998910 11114810 11201120 11539840 11591159 11661440 11844980 12161216 12167792 12201220 12351235 12427520 12702640 12801280 12967136 13301330 13500032 13537120 13906048 14449253 14561456 14819584 14975744 15159872 15201520 15209740 15398474 15861586 15957760 16155776 16208920 16513432 16641664 16875040 17081708 17291729 17382560 17598256 17783696 17921792 18201820 18524480 18719680 18949840 18951968 19285760 19521952 19761976 19949440 20194720 20324224 20641790 20802080 21282128 21352135 21656960 21659392 21997820 22229620 22402240 23079680 23182318 23322880 23689960 24322432 24335584 24402440 24702470 25405280 25934272 26602660 27000064 27074240 27812096 28898506 29122912 30319744 30403040 30419480 30796948 31723172 32311552 32417840 33026864 33283328 33750080 34163416 34583458 34765120 35196512 35567392 36403640 37048960 37439360 37899680 37903936 38496185 39043904 39523952 39653965 39898880 40389440 40648448 41283580 41604160 42564256 42704270 43313920 43995640 44459240 44804480 46364636 47379920 48644864 48671168 48804880 49404940 50810560 51868544 53205320 54148480 55515551 57797012 57955795 58245824 60639488 60806080 60838960 61593896 63446344 64835680 66053728 67500160 68326832 69166916 69530240 70393024 71134784 72246265 72807280 74097920 74878720 75799360 75807872 76992370 78087808 79047904 79307930 80778880 81138113 82567160 83208320 85128512 85408540 86458645 87991280 88918480 89608960 92729272 94759840 97342336 97609760 98809880 101621120 103737088 106410640 108296960 111031102 115594024 115911590 116491648 121612160 121677920 123187792 126892688 129671360 132107456 135000320 136653664 138333832 139060480 140786048 142269568 144492530 145614560 150685067 151598720 151615744 153984740 156175616 158095808 158615860 161557760 162276226 165134320 166416640 170257024 170817080 172917290 175982560 177836960 185458544 189519680 194684672 195219520 197619760 203242240 212821280 222062204 231188048 231823180 232983296 243224320 243355840 246375584 253785376 259342720 264214912 273307328 276667664 277577755 281572096 284539136 288985060 291229120 301370134 303197440 307969480 316191616 317231720 324552452 330268640 340514048 341634160 345834580 351965120 355673920 370917088 379039360 390439040 395239520 405690565 425642560 444124408 462376096 463646360 486711680 492751168 507570752 518685440 528429824 546614656 553335328 555155510 577970120 582458240 602740268 615938960 632383232 634463440 649104904 660537280 683268320 691669160 703930240 711347840 741834176 753425335 758078720 780878080 790479040 811381130 851285120 888248816 924752192 927292720 973423360 985502336 1015141504 1054795469 1093229312 1106670656 1110311020 1155940240 1164916480 1205480536 1231877920 1268926880 1298209808 1321074560 1366536640 1383338320 1407860480 1422695680 1483668352 1506850670 1580958080 1622762260 1702570240 1776497632 1849504384 1854585440 1971004672 2030283008 2109590938 2213341312 2220622040 2311880480 2410961072 2463755840 2537853760 2596419616 2642149120 2733073280 2766676640 2967336704 3013701340 3161916160 3245524520 3552995264 3699008768 3709170880 4219181876 4426682624 4441244080 4623760960 4821922144 4927511680 5075707520 5192839232 5273977345 5466146560 5533353280 6027402680 6491049040 7105990528 7418341760 8438363752 8882488160 9247521920 9643844288 9855023360 10151415040 10385678464 10547954690 11066706560 12054805360 12982098080 14211981056 14836683520 16876727504 17764976320 18495043840 19287688576 20771356928 21095909380 22133413120 24109610720 25964196160 33753455008 35529952640 38575377152 42191818760 48219221440 51928392320 67506910016 71059905280 84383637520 96438442880 103856784640 135013820032 168767275040 192876885760 270027640064 337534550080 675069100160 1350138200320
- Sum of all divisors σ(n): 4348331688960
- Sum of proper divisors (its aliquot sum) s(n): 2998193488640
- 1350138200320 is an abundant number, because the sum of its proper divisors (2998193488640) is greater than itself. Its abundance is 1648055288320
Bases of 1350138200320
- Binary: 100111010010110101000001000000001000000002
- Hexadecimal: 0x13A5A820100
- Base-36: H88TFAPS
Squares and roots of 1350138200320
- 1350138200320 squared (13501382003202) is 1822873159963328448102400
- 1350138200320 cubed (13501382003203) is 2461130687604519748118032855072768000
-
The
square root of 1350138200320 is 1161954.4742889025 -
The
cube root of 1350138200320 is 11052.4716195949
Scales and comparisons
How big is 1350138200320?- 1,350,138,200,320 seconds is equal to 42,930 years, 11 weeks, 2 days, 12 hours, 58 minutes, 40 seconds.
-
To count from 1 to 1,350,138,200,320 would take you about one hundred seven thousand, three 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 1350138200320 cubic inches would be around 921 feet tall.
Recreational maths with 1350138200320
- 1350138200320 backwards is 0230028310531
- 1350138200320 is a
Harshad number . - The number of decimal digits it has is: 13
- The sum of 1350138200320's digits is 28
- More coming soon!
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The information we have on file for 1350138200320 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!
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