138083759320320
138,083,759,320,320 is an even composite number composed of seven prime numbers multiplied together.
138083759320320 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand, three hundred four divisors.
Prime factorization of 138083759320320:
28 × 33 × 5 × 11 × 293 × 53 × 281
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 11 × 29 × 29 × 29 × 53 × 281)See below for interesting mathematical facts about the number 138083759320320 from the Numbermatics database.
Names of 138083759320320
- Cardinal: 138083759320320 can be written as One hundred thirty-eight trillion, eighty-three billion, seven hundred fifty-nine million, three hundred twenty thousand, three hundred twenty.
Scientific notation
- Scientific notation: 1.3808375932032 × 1014
Factors of 138083759320320
Divisors of 138083759320320
- Number of divisors d(n): 2304
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 27 29 30 32 33 36 40 44 45 48 53 54 55 58 60 64 66 72 80 87 88 90 96 99 106 108 110 116 120 128 132 135 144 145 159 160 165 174 176 180 192 198 212 216 220 232 240 256 261 264 265 270 281 288 290 297 318 319 320 330 348 352 360 384 396 424 432 435 440 464 477 480 495 522 528 530 540 562 576 580 583 594 636 638 640 660 696 704 720 768 783 792 795 841 843 848 864 870 880 928 954 957 960 990 1044 1056 1060 1080 1124 1152 1160 1166 1188 1272 1276 1280 1305 1320 1392 1405 1408 1431 1440 1485 1537 1566 1584 1590 1595 1682 1686 1696 1728 1740 1749 1760 1856 1908 1914 1920 1980 2088 2112 2120 2160 2248 2304 2320 2332 2376 2385 2523 2529 2544 2552 2610 2640 2784 2810 2816 2862 2871 2880 2915 2970 3074 3091 3132 3168 3180 3190 3364 3372 3392 3456 3480 3498 3520 3712 3816 3828 3840 3915 3960 4176 4205 4215 4224 4240 4320 4496 4611 4640 4664 4752 4770 4785 5046 5058 5088 5104 5220 5247 5280 5568 5620 5724 5742 5760 5830 5940 6148 6182 6264 6336 6360 6380 6728 6744 6784 6912 6960 6996 7040 7155 7424 7569 7587 7632 7656 7685 7830 7920 8149 8352 8410 8430 8448 8480 8613 8640 8745 8992 9222 9251 9273 9280 9328 9504 9540 9570 10092 10116 10176 10208 10440 10494 10560 11136 11240 11448 11484 11520 11660 11880 12296 12364 12528 12615 12645 12672 12720 12760 13456 13488 13568 13833 13920 13992 14080 14310 14355 14893 15138 15174 15264 15312 15370 15455 15660 15741 15840 16298 16704 16820 16860 16907 16960 17226 17280 17490 17984 18444 18502 18546 18560 18656 19008 19080 19140 20184 20232 20352 20416 20880 20988 21120 22272 22480 22707 22896 22968 23055 23320 23760 24389 24447 24592 24728 25056 25230 25290 25344 25440 25520 26235 26912 26976 27666 27753 27819 27840 27984 28620 28710 29786 30276 30348 30528 30624 30740 30910 31320 31482 31680 32596 33408 33640 33720 33814 33920 34452 34560 34980 35968 36888 37004 37092 37120 37312 37845 37935 38016 38160 38280 40368 40464 40704 40745 40832 41499 41760 41976 42240 43065 44573 44679 44960 45414 45792 45936 46110 46255 46365 46640 47520 48778 48894 49184 49456 50112 50460 50580 50721 50880 51040 52470 53824 53952 55332 55506 55638 55680 55968 57240 57420 59572 60552 60696 61056 61248 61480 61820 62640 62964 63360 65192 66816 67280 67440 67628 67840 68904 69165 69960 71936 73167 73341 73776 74008 74184 74465 74624 75690 75870 76032 76320 76560 78705 80736 80928 81490 81664 82998 83259 83457 83520 83952 84535 86130 89146 89358 89639 89920 90828 91584 91872 92220 92510 92730 93280 95040 97556 97788 98368 98912 100224 100920 101160 101442 101760 102080 104940 107648 107904 110664 111012 111276 111360 111936 113535 114480 114840 119144 121104 121392 121945 122112 122235 122496 122960 123640 125280 125928 126720 130384 133719 134037 134560 134880 135256 137808 138330 138765 139095 139920 146334 146682 147552 148016 148368 148930 149248 151380 151740 152163 152640 153120 157410 161472 161856 162980 163823 165996 166518 166914 167040 167904 169070 172260 178292 178716 179278 179840 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9807085179 9868764960 9919810296 9982199040 10177163865 10237526640 10261872720 10821611232 10855641456 10896761310 10920028416 10945997568 11022011440 11168210880 11229973920 11623212064 11842517952 11986437441 12024012480 12061823840 12285031968 12399762870 13076113572 13158353280 13226413728 13527014040 13569551820 13650035520 13682496960 14428814976 14474188608 14529015080 14803147440 14879715444 14890947840 14926360320 14973298560 15356289960 15790023936 15981916588 16032016640 16283462184 16345141965 16380042624 16418996352 16533017160 16944871680 17434818096 17635218304 17967958272 18036018720 18092735760 18200047360 18243329280 18599644305 19298918144 19614170358 19737529920 19839620592 19977395735 20354327730 20475053280 20523745440 21643222464 21711282912 21793522620 22044022880 22336421760 22459947840 23246424128 23685035904 23972874882 24048024960 24123647680 24570063936 24799525740 26152227144 26316706560 26452827456 27054028080 27139103640 27300071040 27364993920 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108556414560 116232120640 118425179520 119037723552 119864374410 122850319680 127855332704 130267697472 130761135720 132264137280 139478544768 143837249292 144288149760 144741886080 148797154440 156913362864 158716964736 159819165880 162834621840 163800426240 164189963520 173690263296 174348180960 176352183040 179796561615 191782999056 196141703580 198396205920 209217817152 215755873938 216432224640 217112829120 232464241280 236850359040 238075447104 239728748820 245700639360 255710665408 260535394944 261522271440 264528274560 278957089536 287674498584 289483772160 297594308880 313826725728 317433929472 319638331760 325669243680 348696361920 359593123230 383565998112 392283407160 396792411840 418435634304 431511747876 432864449280 434225658240 464928482560 476150894208 479457497640 491401278720 511421330816 521070789888 523044542880 529056549120 539389684845 575348997168 595188617760 627653451456 639276663520 651338487360 697392723840 719186246460 767131996224 784566814320 793584823680 836871268608 863023495752 868451316480 952301788416 958914995280 1022842661632 1046089085760 1078779369690 1150697994336 1190377235520 1255306902912 1278553327040 1302676974720 1394785447680 1438372492920 1534263992448 1569133628640 1587169647360 1726046991504 1917829990560 2092178171520 2157558739380 2301395988672 2380754471040 2510613805824 2557106654080 2605353949440 2876744985840 3068527984896 3138267257280 3452093983008 3835659981120 4184356343040 4315117478760 4602791977344 4761508942080 5114213308160 5753489971680 6276534514560 6904187966016 7671319962240 8630234957520 9205583954688 11506979943360 12553069029120 13808375932032 15342639924480 17260469915040 23013959886720 27616751864064 34520939830080 46027919773440 69041879660160 138083759320320
- Sum of all divisors σ(n): 566095369190400
- Sum of proper divisors (its aliquot sum) s(n): 428011609870080
- 138083759320320 is an abundant number, because the sum of its proper divisors (428011609870080) is greater than itself. Its abundance is 289927850549760
Bases of 138083759320320
- Binary: 111110110010110001000010110110001101101000000002
- Hexadecimal: 0x7D96216C6D00
- Base-36: 1CY2SX2YO0
Squares and roots of 138083759320320
- 138083759320320 squared (1380837593203202) is 19067124588032060468364902400
- 138083759320320 cubed (1380837593203203) is 2632860242544374670025555916286767136768000
-
The
square root of 138083759320320 is 11750904.6171058677 -
The
cube root of 138083759320320 is 51686.9454523275
Scales and comparisons
How big is 138083759320320?- 138,083,759,320,320 seconds is equal to 4,390,636 years, 22 weeks, 19 hours, 12 minutes.
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To count from 1 to 138,083,759,320,320 would take you about ten million, nine hundred seventy-six thousand, five hundred ninety-one 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 138083759320320 cubic inches would be around 4307.2 feet tall.
Recreational maths with 138083759320320
- 138083759320320 backwards is 023023957380831
- 138083759320320 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138083759320320's digits is 54
- More coming soon!
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The information we have on file for 138083759320320 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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