1138129312320
1,138,129,312,320 is an even composite number composed of eight prime numbers multiplied together.
1138129312320 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of one thousand, three hundred forty-four divisors.
Prime factorization of 1138129312320:
26 × 32 × 5 × 7 × 11 × 13 × 41 × 9629
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 7 × 11 × 13 × 41 × 9629)See below for interesting mathematical facts about the number 1138129312320 from the Numbermatics database.
Names of 1138129312320
- Cardinal: 1138129312320 can be written as One trillion, one hundred thirty-eight billion, one hundred twenty-nine million, three hundred twelve thousand, three hundred twenty.
Scientific notation
- Scientific notation: 1.13812931232 × 1012
Factors of 1138129312320
Divisors of 1138129312320
- Number of divisors d(n): 1344
-
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 28 30 32 33 35 36 39 40 41 42 44 45 48 52 55 56 60 63 64 65 66 70 72 77 78 80 82 84 88 90 91 96 99 104 105 110 112 117 120 123 126 130 132 140 143 144 154 156 160 164 165 168 176 180 182 192 195 198 205 208 210 220 224 231 234 240 246 252 260 264 273 280 286 287 288 308 312 315 320 328 330 336 352 360 364 369 385 390 396 410 416 420 429 440 448 451 455 462 468 480 492 495 504 520 528 533 546 560 572 574 576 585 615 616 624 630 656 660 672 693 704 715 720 728 738 770 780 792 819 820 832 840 858 861 880 902 910 924 936 960 984 990 1001 1008 1040 1056 1066 1092 1120 1144 1148 1155 1170 1230 1232 1248 1260 1287 1312 1320 1344 1353 1365 1386 1430 1435 1440 1456 1476 1540 1560 1584 1599 1638 1640 1680 1716 1722 1760 1804 1820 1845 1848 1872 1968 1980 2002 2016 2080 2112 2132 2145 2184 2240 2255 2288 2296 2310 2340 2460 2464 2496 2520 2574 2583 2624 2640 2665 2706 2730 2772 2860 2870 2880 2912 2952 3003 3080 3120 3157 3168 3198 3276 3280 3360 3432 3444 3465 3520 3608 3640 3690 3696 3731 3744 3936 3960 4004 4032 4059 4095 4160 4264 4290 4305 4368 4510 4576 4592 4620 4680 4797 4920 4928 5005 5040 5148 5166 5280 5330 5412 5460 5544 5720 5740 5824 5863 5904 6006 6160 6240 6314 6336 6396 6435 6552 6560 6720 6765 6864 6888 6930 7216 7280 7380 7392 7462 7488 7872 7920 7995 8008 8118 8190 8528 8580 8610 8736 9009 9020 9152 9184 9240 9360 9471 9594 9629 9840 10010 10080 10296 10332 10560 10660 10824 10920 11088 11193 11440 11480 11726 11808 12012 12320 12480 12628 12792 12870 12915 13104 13120 13530 13728 13776 13860 14432 14560 14760 14784 14924 15015 15785 15840 15990 16016 16236 16380 17056 17160 17220 17472 17589 18018 18040 18368 18480 18655 18720 18942 19188 19258 19680 20020 20160 20295 20592 20664 21320 21648 21840 22176 22386 22880 22960 23452 23616 23985 24024 24640 25256 25584 25740 25830 26208 27060 27456 27552 27720 28413 28864 28887 29120 29315 29520 29848 30030 31570 31680 31980 32032 32472 32760 33579 34112 34320 34440 35178 36036 36080 36960 37310 37440 37884 38376 38516 39360 40040 40590 41041 41184 41328 42640 43296 43680 44352 44772 45045 45760 45920 46904 47355 47970 48048 48145 50512 51168 51480 51660 52416 52767 54120 55104 55440 55965 56826 57774 58630 59040 59696 60060 63140 63960 64064 64944 65520 67158 67403 68640 68880 70356 72072 72160 73920 74620 75768 76752 77032 80080 81180 82082 82368 82656 85280 86592 86661 87360 87945 89544 90090 91840 93808 94710 95940 96096 96290 101024 102336 102960 103320 105534 105919 108240 110880 111930 113652 115548 117260 118080 119392 120120 123123 125177 126280 127920 129888 131040 134316 134806 137280 137760 140712 142065 144144 144320 144435 149240 151536 153504 154064 160160 162360 164164 165312 167895 170560 173322 175890 179088 180180 187616 189420 191880 192192 192580 202048 202209 205205 205920 206640 211068 211838 216480 221760 223860 227304 231096 234520 238784 240240 246246 250354 252560 255840 259776 262080 263835 268632 269612 275520 281424 284130 288288 288870 298480 303072 307008 308128 317757 320320 324720 328328 335790 337015 346644 351780 358176 360360 369369 375232 375531 378840 383760 385160 394789 404418 410410 411840 413280 422136 423676 432960 433305 447720 454608 462192 469040 480480 492492 500708 505120 511680 527670 529595 537264 539224 562848 568260 576576 577740 596960 606144 606627 615615 616256 625885 635514 649440 656656 671580 674030 693288 703560 716352 720720 738738 741433 751062 757680 767520 770320 789578 808836 820820 826560 844272 847352 866610 876239 895440 909216 924384 938080 953271 960960 984984 1001416 1010240 1011045 1055340 1059190 1074528 1078448 1125696 1126593 1136520 1155480 1184367 1193920 1213254 1231230 1251770 1271028 1298880 1313312 1343160 1348060 1376947 1386576 1407120 1441440 1477476 1482866 1502124 1515360 1535040 1540640 1579156 1588785 1617672 1641640 1688544 1694704 1733220 1752478 1790880 1818432 1846845 1848768 1876160 1877655 1906542 1969968 1973945 2002832 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3951837890 3965607360 3979473120 4064747544 4168971840 4311095880 4377420432 4516386160 4626541920 4742205468 4863800480 4926966720 5080934430 5173315056 5419663392 5471775540 5551850304 5748127840 5836560576 5927756835 6253457760 6322940624 6466643820 6774579240 6897753408 6939812880 7113308202 7295700720 7390450080 7903675780 7958946240 8129495088 8622191760 8754840864 9032772320 9253083840 9484410936 9727600960 10161868860 10346630112 10839326784 10943551080 11496255680 11855513670 12506915520 12645881248 12933287640 13549158480 13879625760 14226616404 14591401440 14780900160 15807351560 16258990176 17244383520 17509681728 17783270505 18065544640 18968821872 20323737720 20693260224 21887102160 23711027340 25291762496 25866575280 27098316960 27759251520 28453232808 29182802880 31614703120 32517980352 34488767040 35566541010 37937643744 40647475440 43774204320 47422054680 51733150560 54196633920 56906465616 63229406240 71133082020 75875287488 81294950880 87548408640 94844109360 103466301120 113812931232 126458812480 142266164040 162589901760 189688218720 227625862464 284532328080 379376437440 569064656160 1138129312320
- Sum of all divisors σ(n): 5384844541440
- Sum of proper divisors (its aliquot sum) s(n): 4246715229120
- 1138129312320 is an abundant number, because the sum of its proper divisors (4246715229120) is greater than itself. Its abundance is 3108585916800
Bases of 1138129312320
- Binary: 100001000111111011100101100011010010000002
- Hexadecimal: 0x108FDCB1A40
- Base-36: EIUKT1S0
Squares and roots of 1138129312320
- 1138129312320 squared (11381293123202) is 1295338331561996103782400
- 1138129312320 cubed (11381293123203) is 1474262524522390777044382262919168000
-
The
square root of 1138129312320 is 1066831.4357573083 -
The
cube root of 1138129312320 is 10440.7220974093
Scales and comparisons
How big is 1138129312320?- 1,138,129,312,320 seconds is equal to 36,188 years, 51 weeks, 3 days, 23 hours, 12 minutes.
-
To count from 1 to 1,138,129,312,320 would take you about ninety thousand, four hundred seventy-two 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 1138129312320 cubic inches would be around 870.1 feet tall.
Recreational maths with 1138129312320
- 1138129312320 backwards is 0232139218311
- 1138129312320 is a
Harshad number . - The number of decimal digits it has is: 13
- The sum of 1138129312320's digits is 36
- More coming soon!
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The information we have on file for 1138129312320 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 1138129312320, math, Factors of 1138129312320, curriculum, school, college, exams, university, Prime factorization of 1138129312320, STEM, science, technology, engineering, physics, economics, calculator, one trillion, one hundred thirty-eight billion, one hundred twenty-nine million, three hundred twelve thousand, three hundred twenty.