138746556032401408
138,746,556,032,401,408 is an even composite number composed of five prime numbers multiplied together.
138746556032401408 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two thousand, one hundred sixty divisors.
Prime factorization of 138746556032401408:
214 × 78 × 13 × 173 × 23
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 7 × 7 × 7 × 7 × 7 × 7 × 7 × 7 × 13 × 17 × 17 × 17 × 23)See below for interesting mathematical facts about the number 138746556032401408 from the Numbermatics database.
Names of 138746556032401408
- Cardinal: 138746556032401408 can be written as One hundred thirty-eight quadrillion, seven hundred forty-six trillion, five hundred fifty-six billion, thirty-two million, four hundred one thousand, four hundred eight.
Scientific notation
- Scientific notation: 1.38746556032401408 × 1017
Factors of 138746556032401408
Divisors of 138746556032401408
- Number of divisors d(n): 2160
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Complete list of divisors:
1 2 4 7 8 13 14 16 17 23 26 28 32 34 46 49 52 56 64 68 91 92 98 104 112 119 128 136 161 182 184 196 208 221 224 238 256 272 289 299 322 343 364 368 391 392 416 442 448 476 512 544 578 598 637 644 686 728 736 782 784 832 833 884 896 952 1024 1088 1127 1156 1196 1274 1288 1372 1456 1472 1547 1564 1568 1664 1666 1768 1792 1904 2023 2048 2093 2176 2254 2312 2392 2401 2548 2576 2737 2744 2912 2944 3094 3128 3136 3328 3332 3536 3584 3757 3808 4046 4096 4186 4352 4459 4508 4624 4784 4802 4913 5083 5096 5152 5474 5488 5824 5831 5888 6188 6256 6272 6647 6656 6664 7072 7168 7514 7616 7889 8092 8192 8372 8704 8918 9016 9248 9568 9604 9826 10166 10192 10304 10829 10948 10976 11648 11662 11776 12376 12512 12544 13294 13312 13328 14144 14161 14336 14651 15028 15232 15778 16184 16384 16744 16807 17408 17836 18032 18496 19136 19159 19208 19652 20332 20384 20608 21658 21896 21952 23296 23324 23552 24752 25024 25088 26299 26588 26624 26656 28288 28322 28672 29302 30056 30464 31213 31556 32368 33488 33614 34391 34816 35581 35672 36064 36992 38272 38318 38416 39304 40664 40768 40817 41216 43316 43792 43904 46529 46592 46648 47104 49504 50048 50176 52598 53176 53248 53312 55223 56576 56644 57344 58604 60112 60928 62426 63112 63869 64736 66976 67228 68782 69632 71162 71344 72128 73984 75803 76544 76636 76832 78608 81328 81536 81634 82432 86411 86632 87584 87808 93058 93184 93296 94208 99008 99127 100096 100352 102557 105196 106352 106496 106624 110446 112999 113152 113288 114688 117208 117649 120224 121856 124852 126224 127738 129472 133952 134113 134456 137564 139264 142324 142688 144256 147968 151606 153088 153272 153664 157216 162656 163072 163268 164864 172822 173264 175168 175616 184093 186116 186368 186592 188416 198016 198254 200192 200704 205114 210392 212704 212992 213248 218491 220892 225998 226304 226576 234416 235298 240448 240737 243712 249067 249704 252448 255476 258944 267904 268226 268912 275128 278528 284648 285376 285719 288512 295936 303212 306176 306544 307328 314432 325312 325703 326144 326536 329728 345644 346528 350336 351232 368186 372232 372736 373184 376832 386561 396032 396508 400384 401408 410228 420784 425408 426496 436982 441784 447083 451996 452608 453152 468832 470596 480896 481474 487424 498134 499408 504896 510952 517888 530621 535808 536452 537824 550256 569296 570752 571438 577024 591872 604877 606424 612352 613088 614656 628864 650624 651406 652288 653072 659456 691288 693056 693889 700672 702464 717899 736372 744464 745472 746368 773122 790993 792064 793016 800768 802816 820456 823543 841568 850816 852992 873964 883568 894166 903992 905216 906304 937664 938791 941192 961792 962948 974848 996268 998816 1009792 1021904 1035776 1061242 1071616 1072904 1075648 1100512 1138592 1141504 1142876 1154048 1183744 1209754 1212848 1224704 1226176 1229312 1257728 1288651 1301248 1302812 1304576 1306144 1318912 1382576 1386112 1387778 1401344 1404928 1435798 1468987 1472744 1488928 1490944 1492736 1529437 1546244 1581986 1584128 1586032 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313906235367424 333525375077888 353945296001024 354850526937088 377028684870656 381171857231872 404508909715456 430889925566464 464035304456192 480091889385472 510097632472064 541978734501568 582968722825216 619404268001792 627812470734848 667050750155776 707890592002048 754057369741312 762343714463744 861779851132928 1020195264944128 1083957469003136 1165937445650432 1238808536003584 1334101500311552 1415781184004096 1508114739482624 1524687428927488 2040390529888256 2167914938006272 2477617072007168 2668203000623104 2831562368008192 3016229478965248 4080781059776512 4335829876012544 4955234144014336 5336406001246208 6032458957930496 8161562119553024 8671659752025088 9910468288028672 10672812002492416 17343319504050176 19820936576057344 34686639008100352 69373278016200704 138746556032401408
- Sum of all divisors σ(n): 386524974792680640
- Sum of proper divisors (its aliquot sum) s(n): 247778418760279232
- 138746556032401408 is an abundant number, because the sum of its proper divisors (247778418760279232) is greater than itself. Its abundance is 109031862727877824
Bases of 138746556032401408
- Binary: 1111011001110110101000001111100100001111011000000000000002
- Hexadecimal: 0x1ECED41F21EC000
- Base-36: 11Y5JRWRRUV4
Squares and roots of 138746556032401408
- 138746556032401408 squared (1387465560324014082) is 19250606810852303540151547240382464
- 138746556032401408 cubed (1387465560324014083) is 2670955396539647306388639212418665666760890292109312
-
The
square root of 138746556032401408 is 372486987.7356810541 -
The
cube root of 138746556032401408 is 517695.1193494989
Scales and comparisons
How big is 138746556032401408?- 138,746,556,032,401,408 seconds is equal to 4,411,711,310 years, 28 weeks, 5 days, 16 hours, 23 minutes, 28 seconds.
-
To count from 1 to 138,746,556,032,401,408 would take you about thirteen billion, two hundred thirty-five million, one hundred thirty-three thousand, nine hundred thirty-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 138746556032401408 cubic inches would be around 43141.3 feet tall.
Recreational maths with 138746556032401408
- 138746556032401408 backwards is 804104230655647831
- The number of decimal digits it has is: 18
- The sum of 138746556032401408's digits is 67
- More coming soon!
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"Number 138746556032401408 - Facts about the integer". Numbermatics.com. 2024. Web. 21 June 2024.
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Numbermatics. (2024). Number 138746556032401408 - Facts about the integer. Retrieved 21 June 2024, from https://numbermatics.com/n/138746556032401408/
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The information we have on file for 138746556032401408 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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