138401024083968
138,401,024,083,968 is an even composite number composed of six prime numbers multiplied together.
138401024083968 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three hundred eighty-four divisors.
Prime factorization of 138401024083968:
211 × 3 × 19 × 53 × 2731 × 8191
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 19 × 53 × 2731 × 8191)See below for interesting mathematical facts about the number 138401024083968 from the Numbermatics database.
Names of 138401024083968
- Cardinal: 138401024083968 can be written as One hundred thirty-eight trillion, four hundred one billion, twenty-four million, eighty-three thousand, nine hundred sixty-eight.
Scientific notation
- Scientific notation: 1.38401024083968 × 1014
Factors of 138401024083968
Divisors of 138401024083968
- Number of divisors d(n): 384
-
Complete list of divisors:
1 2 3 4 6 8 12 16 19 24 32 38 48 53 57 64 76 96 106 114 128 152 159 192 212 228 256 304 318 384 424 456 512 608 636 768 848 912 1007 1024 1216 1272 1536 1696 1824 2014 2048 2432 2544 2731 3021 3072 3392 3648 4028 4864 5088 5462 6042 6144 6784 7296 8056 8191 8193 9728 10176 10924 12084 13568 14592 16112 16382 16386 19456 20352 21848 24168 24573 27136 29184 32224 32764 32772 38912 40704 43696 48336 49146 51889 54272 58368 64448 65528 65544 81408 87392 96672 98292 103778 108544 116736 128896 131056 131088 144743 155629 155667 162816 174784 193344 196584 207556 257792 262112 262176 289486 311258 311334 325632 349568 386688 393168 415112 434123 434229 466887 515584 524224 524352 578972 622516 622668 699136 773376 786336 830224 868246 868458 933774 1031168 1048448 1048704 1157944 1245032 1245336 1302369 1398272 1546752 1572672 1660448 1736492 1736916 1867548 2062336 2096896 2097408 2315888 2490064 2490672 2604738 2750117 2796544 3093504 3145344 3320896 3472984 3473832 3735096 4193792 4194816 4631776 4980128 4981344 5209476 5500234 5593088 6187008 6290688 6641792 6945968 6947664 7470192 8248337 8250351 8387584 8389632 9263552 9960256 9962688 10418952 11000468 12581376 13283584 13891936 13895328 14940384 16496674 16500702 16775168 16779264 18527104 19920512 19925376 20837904 22000936 22369621 24745011 25162752 26567168 27783872 27790656 29880768 32993348 33001404 37054208 39841024 39850752 41675808 44001872 44739242 49490022 50325504 53134336 55567744 55581312 59761536 65986696 66002808 67108863 74108416 79682048 79701504 83351616 88003744 89478484 98980044 106268672 111135488 111162624 119523072 131973392 132005616 134217726 148216832 159364096 159403008 166703232 176007488 178956968 197960088 222270976 222325248 239046144 263946784 264011232 268435452 296433664 318728192 318806016 333406464 352014976 357913936 395920176 425022799 444541952 444650496 478092288 527893568 528022464 536870904 666812928 704029952 715827872 791840352 850045598 889083904 889300992 956184576 1055787136 1056044928 1073741808 1185589913 1275068397 1333625856 1408059904 1431655744 1583680704 1700091196 2111574272 2112089856 2147483616 2371179826 2550136794 2667251712 2816119808 2863311488 3167361408 3400182392 3556769739 4223148544 4224179712 4294967232 4742359652 5100273588 5632239616 5726622976 6334722816 6800364784 7113539478 8446297088 8448359424 8589934464 9484719304 10200547176 11453245952 12669445632 13600729568 14227078956 16892594176 16896718848 17179868928 18969438608 20401094352 22526208347 22906491904 25338891264 27201459136 28454157912 34359737856 37938877216 40802188704 45052416694 45812983808 50677782528 54402918272 56908315824 67578625041 68719475712 75877754432 81604377408 90104833388 108805836544 113816631648 135157250082 137438951424 151755508864 163208754816 180209666776 217611673088 227633263296 270314500164 303511017728 326417509632 360419333552 435223346176 455266526592 540629000328 607022035456 652835019264 720838667104 870446692352 910533053184 1081258000656 1214044070912 1305670038528 1441677334208 1821066106368 2162516001312 2428088141824 2611340077056 2883354668416 3642132212736 4325032002624 5766709336832 7284264425472 8650064005248 11533418673664 17300128010496 23066837347328 34600256020992 46133674694656 69200512041984 138401024083968
- Sum of all divisors σ(n): 395920775577600
- Sum of proper divisors (its aliquot sum) s(n): 257519751493632
- 138401024083968 is an abundant number, because the sum of its proper divisors (257519751493632) is greater than itself. Its abundance is 119118727409664
Bases of 138401024083968
- Binary: 111110111011111111111111110000010001000000000002
- Hexadecimal: 0x7DDFFFE08800
- Base-36: 1D24JWBX1C
Squares and roots of 138401024083968
- 138401024083968 squared (1384010240839682) is 19154843467491090373514625024
- 138401024083968 cubed (1384010240839683) is 2651049952068871514849258458780900610015232
-
The
square root of 138401024083968 is 11764396.4606760851 -
The
cube root of 138401024083968 is 51726.5009208275
Scales and comparisons
How big is 138401024083968?- 138,401,024,083,968 seconds is equal to 4,400,724 years, 24 weeks, 16 hours, 12 minutes, 48 seconds.
-
To count from 1 to 138,401,024,083,968 would take you about eleven million, one thousand, eight hundred eleven 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 138401024083968 cubic inches would be around 4310.5 feet tall.
Recreational maths with 138401024083968
- 138401024083968 backwards is 869380420104831
- 138401024083968 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138401024083968's digits is 57
- More coming soon!
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