138100974818400
138,100,974,818,400 is an even composite number composed of five prime numbers multiplied together.
What does the number 138100974818400 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1512 divisors.
138100974818400 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, five hundred twelve divisors.
Prime factorization of 138100974818400:
25 × 35 × 52 × 116 × 401
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 11 × 11 × 11 × 11 × 11 × 11 × 401)See below for interesting mathematical facts about the number 138100974818400 from the Numbermatics database.
Names of 138100974818400
- Cardinal: 138100974818400 can be written as One hundred thirty-eight trillion, one hundred billion, nine hundred seventy-four million, eight hundred eighteen thousand, four hundred.
Scientific notation
- Scientific notation: 1.381009748184 × 1014
Factors of 138100974818400
Divisors of 138100974818400
- Number of divisors d(n): 1512
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 25 27 30 32 33 36 40 44 45 48 50 54 55 60 66 72 75 80 81 88 90 96 99 100 108 110 120 121 132 135 144 150 160 162 165 176 180 198 200 216 220 225 240 242 243 264 270 275 288 297 300 324 330 352 360 363 396 400 401 405 432 440 450 480 484 486 495 528 540 550 594 600 605 648 660 675 720 726 792 800 802 810 825 864 880 891 900 968 972 990 1056 1080 1089 1100 1188 1200 1203 1210 1215 1296 1320 1331 1350 1440 1452 1485 1584 1604 1620 1650 1760 1782 1800 1815 1936 1944 1980 2005 2025 2160 2178 2200 2376 2400 2406 2420 2430 2475 2592 2640 2662 2673 2700 2904 2970 3025 3168 3208 3240 3267 3300 3564 3600 3609 3630 3872 3888 3960 3993 4010 4050 4320 4356 4400 4411 4455 4752 4812 4840 4860 4950 5280 5324 5346 5400 5445 5808 5940 6015 6050 6075 6416 6480 6534 6600 6655 7128 7200 7218 7260 7425 7776 7920 7986 8020 8100 8712 8800 8822 8910 9075 9504 9624 9680 9720 9801 9900 10025 10648 10692 10800 10827 10890 11616 11880 11979 12030 12100 12150 12832 12960 13068 13200 13233 13310 13365 14256 14436 14520 14641 14850 15840 15972 16040 16200 16335 17424 17644 17820 18045 18150 19248 19360 19440 19602 19800 19965 20050 21296 21384 21600 21654 21780 22055 22275 23760 23958 24060 24200 24300 26136 26400 26466 26620 26730 27225 28512 28872 29040 29282 29403 29700 30075 31944 32080 32400 32481 32670 33275 34848 35288 35640 35937 36090 36300 38496 38880 39204 39600 39699 39930 40100 42592 42768 43308 43560 43923 44110 44550 47520 47916 48120 48400 48521 48600 49005 52272 52932 53240 53460 54135 54450 57744 58080 58564 58806 59400 59895 60150 63888 64160 64800 64962 65340 66165 66550 66825 70576 71280 71874 72180 72600 73205 78408 79200 79398 79860 80200 81675 85536 86616 87120 87846 88220 89100 90225 95832 96240 96800 97042 97200 97443 98010 99825 104544 105864 106480 106920 107811 108270 108900 110275 115488 117128 117612 118800 119097 119790 120300 127776 129924 130680 131769 132330 133100 133650 141152 142560 143748 144360 145200 145563 146410 147015 156816 158796 159720 160400 161051 162405 163350 173232 174240 175692 176440 178200 179685 180450 191664 192480 194084 194400 194886 196020 198495 199650 211728 212960 213840 215622 216540 217800 219615 220550 234256 235224 237600 238194 239580 240600 242605 245025 259848 261360 263538 264660 266200 267300 270675 287496 288720 290400 291126 292820 294030 299475 313632 317592 319440 320800 322102 323433 324810 326700 330825 346464 351384 352880 356400 357291 359370 360900 366025 383328 388168 389772 392040 395307 396990 399300 423456 427680 431244 433080 435600 436689 439230 441100 468512 470448 476388 479160 481200 483153 485210 487215 490050 519696 522720 527076 529320 532400 533731 534600 539055 541350 574992 577440 582252 585640 588060 595485 598950 635184 638880 644204 646866 649620 653400 658845 661650 702768 705760 712800 714582 718740 721800 727815 732050 735075 776336 779544 784080 790614 793980 798600 805255 812025 862488 866160 871200 873378 878460 882200 898425 940896 952776 958320 962400 966306 970420 974430 980100 992475 1039392 1054152 1058640 1064800 1067462 1069200 1071873 1078110 1082700 1098075 1149984 1164504 1171280 1176120 1185921 1190970 1197900 1213025 1270368 1288408 1293732 1299240 1306800 1310067 1317690 1323300 1405536 1429164 1437480 1443600 1449459 1455630 1464100 1470150 1552672 1559088 1568160 1581228 1587960 1597200 1601193 1610510 1617165 1624050 1724976 1732320 1746756 1756920 1764400 1771561 1786455 1796850 1905552 1916640 1932612 1940840 1948860 1960200 1976535 1984950 2108304 2117280 2134924 2138400 2143746 2156220 2165400 2183445 2196150 2329008 2342560 2352240 2371842 2381940 2395800 2415765 2426050 2436075 2576816 2587464 2598480 2613600 2620134 2635380 2646600 2668655 2695275 2858328 2874960 2887200 2898918 2911260 2928200 2940300 2977425 3118176 3162456 3175920 3194400 3202386 3221020 3234330 3248100 3294225 3449952 3493512 3513840 3528800 3543122 3557763 3572910 3593700 3639075 3811104 3865224 3881680 3897720 3920400 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51148509192 51665160800 51878653200 52310975310 53279697075 55798373664 56831676880 57066518520 57398576400 57542072841 58123305900 62773170372 63407242800 63935636490 68198012256 68878291680 69747967080 71039596100 71333148150 76088691360 76722763788 77497741200 78466462965 83697560496 85247515320 86097864600 87184958850 92997289440 95110864200 95903454735 102297018384 103757306400 104621950620 106559394150 113663353760 114133037040 114797152800 115084145682 116246611800 125546340744 126814485600 127871272980 130777438275 139495934160 142079192200 142666296300 153445527576 154995482400 156932925930 159839091225 167395120992 170495030640 172195729200 172626218523 174369917700 190221728400 191806909470 204594036768 209243901240 213118788300 228266074080 230168291364 232493223600 251092681488 255742545960 261554876550 278991868320 284158384400 285332592600 287710364205 306891055152 313865851860 319678182450 340990061280 344391458400 345252437046 348739835400 380443456800 383613818940 392332314825 418487802480 426237576600 460336582728 464986447200 479517273675 502185362976 511485091920 523109753100 568316768800 570665185200 575420728410 613782110304 627731703720 639356364900 690504874092 697479670800 767227637880 784664629650 836975604960 852475153200 863131092615 920673165456 959034547350 1022970183840 1046219506200 1141330370400 1150841456820 1255463407440 1278712729800 1381009748184 1394959341600 1438551821025 1534455275760 1569329259300 1704950306400 1726262185230 1841346330912 1918069094700 2092439012400 2301682913640 2510926814880 2557425459600 2762019496368 2877103642050 3068910551520 3138658518600 3452524370460 3836138189400 4184878024800 4315655463075 4603365827280 5114850919200 5524038992736 5754207284100 6277317037200 6905048740920 7672276378800 8631310926150 9206731654560 11508414568200 12554634074400 13810097481840 15344552757600 17262621852300 23016829136400 27620194963680 34525243704600 46033658272800 69050487409200 138100974818400
- Sum of all divisors σ(n): 556901584876728
- Sum of proper divisors (its aliquot sum) s(n): 418800610058328
- 138100974818400 is an abundant number, because the sum of its proper divisors (418800610058328) is greater than itself. Its abundance is 280699635239928
Bases of 138100974818400
- Binary: 111110110011010001000111000110000010100011000002
- Hexadecimal: 0x7D9A238C1460
- Base-36: 1CYAPMQU00
Squares and roots of 138100974818400
- 138100974818400 squared (1381009748184002) is 19071879245792350912978560000
- 138100974818400 cubed (1381009748184003) is 2633845115462735037588588364299093504000000
-
The
square root of 138100974818400 is 11751637.1122665287 -
The
cube root of 138100974818400 is 51689.0933745693
Scales and comparisons
How big is 138100974818400?- 138,100,974,818,400 seconds is equal to 4,391,183 years, 42 weeks, 6 days, 6 hours.
-
To count from 1 to 138,100,974,818,400 would take you about ten million, nine hundred seventy-seven thousand, nine hundred fifty-nine 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 138100974818400 cubic inches would be around 4307.4 feet tall.
Recreational maths with 138100974818400
- 138100974818400 backwards is 004818479001831
- 138100974818400 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138100974818400's digits is 54
- More coming soon!
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"Number 138100974818400 - Facts about the integer". Numbermatics.com. 2024. Web. 12 May 2024.
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Numbermatics. (2024). Number 138100974818400 - Facts about the integer. Retrieved 12 May 2024, from https://numbermatics.com/n/138100974818400/
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The information we have on file for 138100974818400 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 138100974818400, math, Factors of 138100974818400, curriculum, school, college, exams, university, Prime factorization of 138100974818400, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight trillion, one hundred billion, nine hundred seventy-four million, eight hundred eighteen thousand, four hundred.