138078370521
138,078,370,521 is an odd composite number composed of five prime numbers multiplied together.
What does the number 138078370521 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 288 divisors.
138078370521 is an odd composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two hundred eighty-eight divisors.
Prime factorization of 138078370521:
35 × 73 × 13 × 192 × 353
(3 × 3 × 3 × 3 × 3 × 7 × 7 × 7 × 13 × 19 × 19 × 353)See below for interesting mathematical facts about the number 138078370521 from the Numbermatics database.
Names of 138078370521
- Cardinal: 138078370521 can be written as One hundred thirty-eight billion, seventy-eight million, three hundred seventy thousand, five hundred twenty-one.
Scientific notation
- Scientific notation: 1.38078370521 × 1011
Factors of 138078370521
Divisors of 138078370521
- Number of divisors d(n): 288
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Complete list of divisors:
1 3 7 9 13 19 21 27 39 49 57 63 81 91 117 133 147 171 189 243 247 273 343 351 353 361 399 441 513 567 637 741 819 931 1029 1053 1059 1083 1197 1323 1539 1701 1729 1911 2223 2457 2471 2527 2793 3087 3159 3177 3249 3591 3969 4459 4589 4617 4693 5187 5733 6517 6669 6707 7371 7413 7581 8379 9261 9531 9747 10773 11907 12103 13377 13767 14079 15561 17199 17297 17689 19551 20007 20121 22113 22239 22743 25137 27783 28593 29241 32123 32319 32851 36309 40131 41301 42237 46683 46949 51597 51891 53067 58653 60021 60363 66717 68229 75411 83349 84721 85779 87191 87723 96369 98553 108927 120393 121079 123823 123903 126711 127433 140049 140847 154791 155673 159201 175959 181089 200151 204687 224861 226233 229957 254163 261573 289107 295659 326781 328643 361179 363237 371469 371709 380133 382299 420147 422541 467019 477603 527877 543267 600453 610337 614061 674583 689871 762489 784719 867321 886977 892031 980343 985929 1083537 1089711 1114407 1115127 1140399 1146897 1267623 1401057 1432809 1574027 1583631 1609699 1629801 1656629 1831011 2023749 2069613 2287467 2300501 2354157 2601963 2660931 2676093 2941029 2957787 3269133 3343221 3440691 3802869 4203171 4272359 4298427 4722081 4829097 4969887 5493033 6071247 6208839 6244217 6862401 6901503 7062471 7805889 7982793 8028279 8873361 9807399 10029663 10322073 11408607 11596403 12817077 14166243 14487291 14909661 16479099 18213741 18626517 18732651 20587203 20704509 21187413 24084837 26620083 29422197 29906513 30088989 30966219 34789209 38451231 42498729 43461873 43709519 44728983 49437297 54641223 55879551 56197953 62113527 72254511 79860249 81174821 89719539 104367627 115353693 127496187 130385619 131128557 134186949 148311891 168593859 186340581 216763533 243524463 269158617 313102881 346061079 382488561 391156857 393385671 402560847 505781577 559021743 568223747 730573389 807475851 939308643 1038183237 1180157013 1517344731 1704671241 2191720167 2422427553 2817925929 3540471039 5114013723 6575160501 7267282659 10621413117 15342041169 19725481503 46026123507 138078370521
- Sum of all divisors σ(n): 274927161600
- Sum of proper divisors (its aliquot sum) s(n): 136848791079
- 138078370521 is a deficient number, because the sum of its proper divisors (136848791079) is less than itself. Its deficiency is 1229579442
Bases of 138078370521
- Binary: 100000001001100001110010111010110110012
- Hexadecimal: 0x20261CBAD9
- Base-36: 1RFKAOK9
Squares and roots of 138078370521
- 138078370521 squared (1380783705212) is 19065636405734561811441
- 138078370521 cubed (1380783705213) is 2632552007849683514975727334930761
-
The
square root of 138078370521 is 371588.9806237531 -
The
cube root of 138078370521 is 5168.6273072507
Scales and comparisons
How big is 138078370521?- 138,078,370,521 seconds is equal to 4,390 years, 24 weeks, 1 day, 6 hours, 55 minutes, 21 seconds.
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To count from 1 to 138,078,370,521 would take you about eight thousand, seven hundred eighty 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 138078370521 cubic inches would be around 430.7 feet tall.
Recreational maths with 138078370521
- 138078370521 backwards is 125073870831
- The number of decimal digits it has is: 12
- The sum of 138078370521's digits is 45
- More coming soon!
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