138993253859645952
138,993,253,859,645,952 is an even composite number composed of seven prime numbers multiplied together.
What does the number 138993253859645952 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 640 divisors.
138993253859645952 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of six hundred forty divisors.
Prime factorization of 138993253859645952:
29 × 3 × 13 × 89 × 331 × 709 × 333269
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 13 × 89 × 331 × 709 × 333269)See below for interesting mathematical facts about the number 138993253859645952 from the Numbermatics database.
Names of 138993253859645952
- Cardinal: 138993253859645952 can be written as One hundred thirty-eight quadrillion, nine hundred ninety-three trillion, two hundred fifty-three billion, eight hundred fifty-nine million, six hundred forty-five thousand, nine hundred fifty-two.
Scientific notation
- Scientific notation: 1.38993253859645952 × 1017
Factors of 138993253859645952
Divisors of 138993253859645952
- Number of divisors d(n): 640
-
Complete list of divisors:
1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 89 96 104 128 156 178 192 208 256 267 312 331 356 384 416 512 534 624 662 709 712 768 832 993 1068 1157 1248 1324 1418 1424 1536 1664 1986 2127 2136 2314 2496 2648 2836 2848 3328 3471 3972 4254 4272 4303 4628 4992 5296 5672 5696 6656 6942 7944 8508 8544 8606 9217 9256 9984 10592 11344 11392 12909 13884 15888 17016 17088 17212 18434 18512 19968 21184 22688 22784 25818 27651 27768 29459 31776 34032 34176 34424 36868 37024 42368 45376 45568 51636 55302 55536 58918 63101 63552 68064 68352 68848 73736 74048 84736 88377 90752 103272 110604 111072 117836 126202 127104 136128 136704 137696 147472 148096 169472 176754 181504 189303 206544 221208 222144 234679 235672 252404 254208 272256 275392 294944 296192 333269 353508 363008 378606 382967 413088 442416 444288 469358 471344 504808 508416 544512 550784 589888 592384 666538 704037 707016 757212 765934 820313 826176 884832 888576 938716 942688 999807 1009616 1089024 1101568 1148901 1179776 1333076 1408074 1414032 1514424 1531868 1640626 1652352 1769664 1777152 1877432 1885376 1999614 2019232 2203136 2297802 2359552 2460939 2666152 2816148 2828064 3028848 3050827 3063736 3281252 3304704 3539328 3754864 3770752 3999228 4038464 4332497 4595604 4719104 4921878 5332304 5632296 5656128 6057696 6101654 6127472 6562504 6609408 7078656 7509728 7541504 7998456 8076928 8664994 9152481 9191208 9843756 10664608 11264592 11312256 12115392 12203308 12254944 12997491 13125008 14157312 15019456 15083008 15996912 16153856 17329988 18304962 18382416 19687512 20886431 21329216 22529184 22624512 24230784 24406616 24509888 25994982 26250016 29660941 30038912 31993824 32307712 34659976 36609924 36764832 39375024 41772862 42658432 45058368 45249024 48461568 48813232 49019776 51989964 52500032 59321882 60077824 62659293 63987648 69319952 73219848 73529664 78750048 83545724 85316864 88982823 90116736 96923136 97626464 98039552 103979928 105000064 110312039 118643764 120155648 125318586 127975296 138639904 146439696 147059328 157500096 167091448 170633728 177965646 180233472 195252928 196079104 207959856 210000128 220624078 236287721 237287528 250637172 255950592 271523603 277279808 292879392 294118656 315000192 330936117 334182896 355931292 360466944 385592233 390505856 415919712 420000256 441248156 472575442 474575056 501274344 511901184 543047206 554559616 585758784 588237312 630000384 661872234 668365792 708863163 711862584 771184466 781011712 814570809 831839424 882496312 945150884 949150112 1002548688 1086094412 1109119232 1156776699 1171517568 1260000768 1323744468 1336731584 1417726326 1423725168 1434056507 1542368932 1562023424 1629141618 1663678848 1764992624 1890301768 1898300224 2005097376 2172188824 2218238464 2313553398 2343035136 2647488936 2673463168 2835452652 2847450336 2868113014 3071740373 3084737864 3258283236 3327357696 3529985248 3780603536 3796600448 4010194752 4302169521 4344377648 4627106796 4686070272 5294977872 5346926336 5670905304 5694900672 5736226028 6143480746 6169475728 6516566472 6654715392 7059970496 7561207072 7593200896 8020389504 8604339042 8688755296 9215221119 9254213592 9817771471 10589955744 10693852672 11341810608 11389801344 11472452056 12286961492 12338951456 13033132944 14119940992 15122414144 15186401792 16040779008 17208678084 17377510592 18430442238 18508427184 19635542942 21029607169 21179911488 22683621216 22779602688 22944904112 24573922984 24677902912 26066265888 28239881984 29453314413 30244828288 32081558016 34417356168 34755021184 36860884476 37016854368 39271085884 42059214338 42359822976 45367242432 45559205376 45889808224 49147845968 49355805824 52132531776 56479763968 58906628826 60489656576 63088821507 68834712336 69510042368 73721768952 74033708736 78211235651 78542171768 84118428676 84719645952 90734484864 91779616448 98295691936 98711611648 104265063552 117813257652 120979313152 126177643014 127631029123 137669424672 139020084736 147443537904 148067417472 156422471302 157084343536 168236857352 169439291904 181468969728 183559232896 196591383872 197423223296 208530127104 234633706953 235626515304 252355286028 255262058246 273384893197 275338849344 294887075808 296134834944 312844942604 314168687072 336473714704 362937939456 367118465792 382893087369 393182767744 417060254208 469267413906 471253030608 504710572056 510524116492 546769786394 550677698688 589774151616 592269669888 625689885208 628337374144 672947429408 734236931584 765786174738 786365535488 820154679591 938534827812 942506061216 1009421144112 1016746063463 1021048232984 1093539572788 1101355397376 1179548303232 1251379770416 1256674748288 1345894858816 1531572349476 1572731070976 1640309359182 1877069655624 1885012122432 2018842288224 2033492126926 2042096465968 2187079145576 2202710794752 2359096606464 2502759540832 2513349496576 2691789717632 3050238190389 3063144698952 3280618718364 3754139311248 3770024244864 4037684576448 4066984253852 4084192931936 4374158291152 4718193212928 5005519081664 5026698993152 5383579435264 6100476380778 6126289397904 6561237436728 6960799972939 7508278622496 7540048489728 8075369152896 8133968507704 8168385863872 8748316582304 10011038163328 10767158870528 12200952761556 12252578795808 13122474873456 13921599945878 15016557244992 15080096979456 16150738305792 16267937015408 16336771727744 17496633164608 20022076326656 20882399918817 24401905523112 24505157591616 26244949746912 27843199891756 30033114489984 32301476611584 32535874030816 32673543455488 34993266329216 40044152653312 41764799837634 48803811046224 49010315183232 52489899493824 55686399783512 60066228979968 65071748061632 65347086910976 69986532658432 83529599675268 90490399648207 97607622092448 98020630366464 104979798987648 111372799567024 120132457959936 130143496123264 139973065316864 167059199350536 180980799296414 195215244184896 196041260732928 209959597975296 222745599134048 260286992246528 271471198944621 334118398701072 361961598592828 390430488369792 419919195950592 445491198268096 520573984493056 542942397889242 668236797402144 723923197185656 780860976739584 890982396536192 1085884795778484 1336473594804288 1447846394371312 1561721953479168 1781964793072384 2171769591556968 2672947189608576 2895692788742624 3563929586144768 4343539183113936 5345894379217152 5791385577485248 8687078366227872 10691788758434304 11582771154970496 17374156732455744 23165542309940992 34748313464911488 46331084619881984 69496626929822976 138993253859645952
- Sum of all divisors σ(n): 405040848414048000
- Sum of proper divisors (its aliquot sum) s(n): 266047594554402048
- 138993253859645952 is an abundant number, because the sum of its proper divisors (266047594554402048) is greater than itself. Its abundance is 127054340694756096
Bases of 138993253859645952
- Binary: 1111011011100110110100000110000100111101011011010000000002
- Hexadecimal: 0x1EDCDA0C27ADA00
- Base-36: 120KZVBSKDMO
Squares and roots of 138993253859645952
- 138993253859645952 squared (1389932538596459522) is 19319124618491984332514874789986304
- 138993253859645952 cubed (1389932538596459523) is 2685227992444192131271454793841722311405488369041408
-
The
square root of 138993253859645952 is 372817990.2575061519 -
The
cube root of 138993253859645952 is 518001.7663406897
Scales and comparisons
How big is 138993253859645952?- 138,993,253,859,645,952 seconds is equal to 4,419,555,538 years, 19 weeks, 3 days, 2 hours, 59 minutes, 12 seconds.
-
To count from 1 to 138,993,253,859,645,952 would take you about thirteen billion, two hundred fifty-eight million, six hundred sixty-six thousand, six hundred fifteen 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 138993253859645952 cubic inches would be around 43166.8 feet tall.
Recreational maths with 138993253859645952
- 138993253859645952 backwards is 259546958352399831
- 138993253859645952 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 138993253859645952's digits is 96
- More coming soon!
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The information we have on file for 138993253859645952 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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