138974675840
138,974,675,840 is an even composite number composed of seven prime numbers multiplied together.
138974675840 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, one hundred fifty-two divisors.
Prime factorization of 138974675840:
27 × 5 × 7 × 112 × 132 × 37 × 41
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 7 × 11 × 11 × 13 × 13 × 37 × 41)See below for interesting mathematical facts about the number 138974675840 from the Numbermatics database.
Names of 138974675840
- Cardinal: 138974675840 can be written as One hundred thirty-eight billion, nine hundred seventy-four million, six hundred seventy-five thousand, eight hundred forty.
Scientific notation
- Scientific notation: 1.3897467584 × 1011
Factors of 138974675840
Divisors of 138974675840
- Number of divisors d(n): 1152
-
Complete list of divisors:
1 2 4 5 7 8 10 11 13 14 16 20 22 26 28 32 35 37 40 41 44 52 55 56 64 65 70 74 77 80 82 88 91 104 110 112 121 128 130 140 143 148 154 160 164 169 176 182 185 205 208 220 224 242 259 260 280 286 287 296 308 320 328 338 352 364 370 385 407 410 416 440 448 451 455 481 484 518 520 533 560 572 574 592 605 616 640 656 676 704 715 728 740 770 814 820 832 845 847 880 896 902 910 962 968 1001 1036 1040 1066 1120 1144 1148 1183 1184 1210 1232 1295 1312 1352 1408 1430 1435 1456 1480 1517 1540 1573 1628 1640 1664 1690 1694 1760 1804 1820 1859 1924 1936 2002 2035 2072 2080 2132 2240 2255 2288 2296 2366 2368 2405 2420 2464 2590 2624 2665 2704 2849 2860 2870 2912 2960 3034 3080 3146 3157 3256 3280 3367 3380 3388 3520 3608 3640 3718 3731 3848 3872 4004 4070 4144 4160 4235 4264 4477 4480 4510 4576 4592 4732 4736 4810 4840 4928 4961 5005 5180 5248 5291 5330 5408 5698 5720 5740 5824 5863 5915 5920 6068 6160 6253 6292 6314 6512 6560 6734 6760 6776 6929 7040 7216 7280 7436 7462 7585 7696 7744 7865 8008 8140 8288 8320 8470 8528 8954 9020 9152 9184 9295 9464 9620 9680 9856 9922 10010 10360 10582 10619 10660 10816 11011 11396 11440 11480 11648 11726 11830 11840 12136 12320 12506 12584 12628 13013 13024 13120 13468 13520 13552 13858 14245 14432 14560 14872 14924 15170 15392 15488 15730 15785 16016 16280 16576 16687 16835 16940 17056 17908 18040 18304 18368 18590 18655 18928 19240 19360 19721 19844 20020 20449 20720 21164 21238 21320 21632 22022 22385 22792 22880 22960 23452 23660 23680 24272 24640 24805 25012 25168 25256 26026 26048 26240 26455 26936 27040 27104 27716 28490 28864 29120 29315 29744 29848 30340 30784 31265 31339 31460 31570 32032 32560 33152 33374 33670 33880 34112 34645 34727 35816 36080 36736 37037 37180 37310 37856 38480 38720 39442 39688 40040 40898 41041 41440 42328 42476 42640 43771 44044 44770 45584 45760 45920 46904 47320 48503 48544 49280 49610 50024 50336 50512 52052 52096 52910 53095 53872 54080 54208 55055 55432 56980 57728 58201 58240 58630 59488 59696 60680 61568 62530 62678 62920 63140 64064 64493 65065 65120 66748 67340 67760 68224 68783 69290 69454 71632 72160 74074 74360 74620 75712 76219 76960 77440 78884 79376 80080 81796 82082 82880 83435 84656 84952 85280 87542 88088 89540 91168 91520 91840 93808 94640 97006 97088 98605 99220 100048 100672 101024 102245 104104 105820 106190 107744 108160 108416 110110 110864 113960 116402 116809 117260 118976 119392 121360 125060 125356 125840 126280 128128 128986 130130 130240 133496 134680 135520 137566 138047 138580 138908 143143 143264 144320 148148 148720 149240 151424 152438 153920 156695 157768 158752 160160 163592 164164 165760 166870 169312 169904 170560 173635 175084 176176 179080 182336 183557 183680 185185 187616 189280 194012 194176 197210 198440 200096 201344 202048 204490 205205 208208 211640 212380 215488 216931 218855 220220 221728 227920 232804 233618 234520 237952 238784 242515 242720 250120 250712 251680 252560 256373 257972 260260 260480 266992 269360 271040 275132 276094 277160 277816 286286 286528 288640 291005 296296 297440 298480 304876 307840 313390 315536 317504 320320 322465 327184 328328 333740 338624 339808 341120 343915 347270 350168 352352 358160 364672 367114 370370 375232 378560 381095 388024 394420 396880 400192 404096 407407 408980 410410 416416 423280 424760 430976 433862 437710 440440 443456 451451 455840 465608 467236 469040 477568 481481 485030 485440 500240 501424 503360 505120 512746 515944 520520 533533 533984 538720 542080 550264 552188 554320 555632 572572 573056 582010 584045 592592 594880 596960 609752 626780 631072 635008 640640 644930 654368 656656 667480 677248 679616 687830 690235 694540 700336 704704 715715 716320 734228 740740 750464 756613 757120 762190 776048 788840 793760 800384 814814 817960 820820 832832 838409 846560 849520 867724 875420 880880 886912 902902 911680 917785 931216 934472 938080 962962 970060 970880 1000480 1002848 1006720 1010240 1025492 1031888 1041040 1067066 1067968 1077440 1084655 1100528 1104376 1108640 1111264 1145144 1164020 1168090 1185184 1189760 1193920 1219504 1253560 1262144 1281865 1284899 1289860 1308736 1313312 1334960 1359232 1375660 1380470 1389080 1400672 1409408 1431430 1432640 1468456 1481480 1513226 1518517 1524380 1552096 1577680 1587520 1629628 1635920 1641640 1665664 1676818 1693120 1699040 1735448 1750840 1761760 1794611 1805804 1823360 1835570 1862432 1868944 1876160 1925924 1940120 2000960 2005696 2020480 2037035 2050984 2063776 2082080 2134132 2135936 2154880 2169310 2201056 2208752 2217280 2222528 2257255 2290288 2328040 2336180 2370368 2386241 2387840 2407405 2439008 2507120 2524288 2563730 2569798 2579720 2617472 2626624 2667665 2669920 2751320 2760940 2778160 2801344 2820103 2862860 2865280 2936912 2962960 3026452 3037034 3048760 3104192 3155360 3175040 3259256 3271840 3283280 3353636 3386240 3398080 3470896 3501680 3523520 3589222 3611608 3671140 3724864 3737888 3752320 3783065 3851848 3880240 4001920 4011392 4074070 4101968 4127552 4164160 4192045 4268264 4338620 4402112 4417504 4434560 4445056 4514510 4580576 4656080 4672360 4740736 4772482 4814810 4878016 5014240 5127460 5139596 5159440 5253248 5296291 5335330 5339840 5502640 5521880 5556320 5602688 5640206 5725720 5868863 5873824 5925920 6052904 6074068 6097520 6208384 6310720 6424495 6518512 6543680 6566560 6707272 6796160 6941792 7003360 7047040 7178444 7223216 7342280 7449728 7475776 7566130 7592585 7703696 7760480 8148140 8203936 8255104 8328320 8384090 8536528 8677240 8804224 8835008 8973055 9029020 9161152 9312160 9344720 9544964 9629620 9756032 10028480 10254920 10279192 10318880 10592582 10670660 10679680 11005280 11043760 11112640 11280412 11451440 11737726 11747648 11851840 11931205 12105808 12148136 12195040 12621440 12848990 13037024 13087360 13133120 13414544 13883584 14006720 14100515 14356888 14446432 14684560 14951552 15132260 15185170 15407392 15520960 16296280 16407872 16703687 16768180 17073056 17354480 17670016 17946110 18058040 18322304 18624320 18689440 19089928 19259240 19740721 20056960 20509840 20558384 20637760 21185164 21341320 22010560 22087520 22225280 22560824 22902880 23475452 23495296 23703680 23862410 24211616 24296272 24390080 25697980 26074048 26266240 26481455 26829088 27767168 28013440 28201030 28713776 28892864 29344315 29369120 30264520 30370340 30814784 31021133 31041920 32592560 32815744 33407374 33536360 34146112 34708960 35892220 36116080 37248640 37378880 38179856 38518480 39481442 41019680 41116768 41275520 42370328 42682640 44021120 44175040 45121648 45805760 46950904 47724820 48423232 48592544 48780160 51395960 52148096 52962910 53658176 56402060 57427552 57785728 58688630 58738240 60529040 60740680 61629568 62042266 65185120 66814748 67072720 68292224 69417920 71784440 72232160 74757760 76359712 77036960 78962884 82039360 82233536 83518435 84740656 85365280 88350080 90243296 91611520 93901808 95449640 96846464 97185088 98703605 102791920 105925820 107316352 112804120 114855104 117377260 117476480 121058080 121481360 124084532 130370240 133629496 134145440 138835840 143568880 144464320 152719424 154073920 155105665 157925768 164078720 164467072 167036870 169481312 170730560 180486592 187803616 190899280 194370176 197407210 205583840 211851640 217147931 225608240 229710208 234754520 242116160 242962720 248169064 260740480 267258992 268290880 287137760 288928640 305438848 308147840 310211330 315851536 334073740 338962624 341461120 360973184 375607232 381798560 394814420 411167680 423703280 434295862 451216480 469509040 484232320 485925440 496338128 534517984 536581760 574275520 620422660 631703072 668147480 677925248 751214464 763597120 789628840 822335360 847406560 868591724 902432960 939018080 971850880 992676256 1069035968 1085739655 1148551040 1240845320 1263406144 1336294960 1527194240 1579257680 1694813120 1737183448 1804865920 1878036160 1985352512 2138071936 2171479310 2481690640 2526812288 2672589920 3158515360 3389626240 3474366896 3756072320 3970705024 4342958620 4963381280 5345179840 6317030720 6948733792 8685917240 9926762560 10690359680 12634061440 13897467584 17371834480 19853525120 27794935168 34743668960 69487337920 138974675840
- Sum of all divisors σ(n): 475463338560
- Sum of proper divisors (its aliquot sum) s(n): 336488662720
- 138974675840 is an abundant number, because the sum of its proper divisors (336488662720) is greater than itself. Its abundance is 197513986880
Bases of 138974675840
- Binary: 100000010110111000100101000011100000002
- Hexadecimal: 0x205B894380
- Base-36: 1RUDXM68
Squares and roots of 138974675840
- 138974675840 squared (1389746758402) is 19313960524833079705600
- 138974675840 cubed (1389746758403) is 2684151403125233522194642632704000
-
The
square root of 138974675840 is 372793.0737554013 -
The
cube root of 138974675840 is 5179.7868638173
Scales and comparisons
How big is 138974675840?- 138,974,675,840 seconds is equal to 4,418 years, 50 weeks, 1 day, 4 hours, 37 minutes, 20 seconds.
-
To count from 1 to 138,974,675,840 would take you about eight thousand, eight hundred thirty-seven 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 138974675840 cubic inches would be around 431.6 feet tall.
Recreational maths with 138974675840
- 138974675840 backwards is 048576479831
- The number of decimal digits it has is: 12
- The sum of 138974675840's digits is 62
- More coming soon!
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The information we have on file for 138974675840 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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