34006390912
34,006,390,912 is an even composite number composed of six prime numbers multiplied together.
What does the number 34006390912 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 384 divisors.
34006390912 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 34006390912:
27 × 132 × 17 × 19 × 31 × 157
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 13 × 13 × 17 × 19 × 31 × 157)See below for interesting mathematical facts about the number 34006390912 from the Numbermatics database.
Names of 34006390912
- Cardinal: 34006390912 can be written as Thirty-four billion, six million, three hundred ninety thousand, nine hundred twelve.
Scientific notation
- Scientific notation: 3.4006390912 × 1010
Factors of 34006390912
Divisors of 34006390912
- Number of divisors d(n): 384
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Complete list of divisors:
1 2 4 8 13 16 17 19 26 31 32 34 38 52 62 64 68 76 104 124 128 136 152 157 169 208 221 247 248 272 304 314 323 338 403 416 442 494 496 527 544 589 608 628 646 676 806 832 884 988 992 1054 1088 1178 1216 1256 1292 1352 1612 1664 1768 1976 1984 2041 2108 2176 2356 2432 2512 2584 2669 2704 2873 2983 3211 3224 3536 3952 3968 4082 4199 4216 4712 4867 5024 5168 5239 5338 5408 5746 5966 6422 6448 6851 7072 7657 7904 8164 8398 8432 9424 9734 10013 10048 10336 10478 10676 10816 11492 11932 12844 12896 13702 14144 15314 15808 16328 16796 16864 18848 19468 20026 20096 20672 20956 21352 21632 22984 23864 25688 25792 26533 27404 28288 30628 31616 32656 33592 33728 34697 37696 38779 38936 40052 41344 41912 42704 45968 47728 50711 51376 51584 53066 54587 54808 61256 63271 65312 67184 67456 69394 75392 77558 77872 80104 82739 83824 85408 89063 91936 92473 95456 99541 101422 102752 106132 109174 109616 122512 126542 130169 130624 134368 138788 155116 155744 160208 165478 167648 170816 178126 183872 184946 190912 199082 202844 205504 212264 218348 219232 245024 253084 260338 261248 268736 277576 310232 311488 320416 330956 335296 341632 356252 367744 369892 381824 398164 405688 411008 424528 436696 438464 451061 490048 504127 506168 520676 537472 555152 620464 622976 640832 659243 661912 670592 712504 739784 796328 811376 822523 849056 873392 876928 902122 980096 1008254 1012336 1041352 1075607 1110304 1202149 1240928 1281664 1318486 1323824 1425008 1479568 1572041 1592656 1622752 1645046 1692197 1698112 1746784 1804244 2016508 2024672 2082704 2151214 2220608 2404298 2481856 2636972 2647648 2850016 2959136 3144082 3185312 3245504 3290092 3384394 3396224 3493568 3608488 4033016 4049344 4165408 4302428 4441216 4808596 4963712 5273944 5295296 5700032 5918272 6288164 6370624 6491008 6580184 6768788 6987136 7216976 8066032 8098688 8330816 8570159 8604856 9617192 10547888 10590592 11400064 11836544 12576328 12741248 13160368 13537576 13982891 14433952 15627937 16132064 16661632 17140318 17209712 19234384 20436533 21095776 25152656 26320736 27075152 27965782 28867904 31255874 32264128 34280636 34419424 38468768 40873066 42191552 50305312 52641472 54150304 55931564 57735808 62511748 64528256 68561272 68838848 76937536 81746132 84383104 100610624 105282944 108300608 111863128 125023496 137122544 137677696 153875072 163492264 201221248 216601216 223726256 250046992 265674929 274245088 326984528 447452512 500093984 531349858 548490176 653969056 894905024 1000187968 1062699716 1096980352 1307938112 1789810048 2000375936 2125399432 2615876224 4250798864 8501597728 17003195456 34006390912
- Sum of all divisors σ(n): 84937766400
- Sum of proper divisors (its aliquot sum) s(n): 50931375488
- 34006390912 is an abundant number, because the sum of its proper divisors (50931375488) is greater than itself. Its abundance is 16924984576
Bases of 34006390912
- Binary: 111111010101111000001011000100000002
- Hexadecimal: 0x7EAF05880
- Base-36: FMEIZ5S
Squares and roots of 34006390912
- 34006390912 squared (340063909122) is 1156434622859756191744
- 34006390912 cubed (340063909123) is 39326167849140160409458891030528
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The
square root of 34006390912 is 184408.2181248981 -
The
cube root of 34006390912 is 3239.8147696781
Scales and comparisons
How big is 34006390912?- 34,006,390,912 seconds is equal to 1,081 years, 15 weeks, 3 days, 11 hours, 41 minutes, 52 seconds.
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To count from 1 to 34,006,390,912 would take you about two thousand, one hundred sixty-two 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 34006390912 cubic inches would be around 270 feet tall.
Recreational maths with 34006390912
- 34006390912 backwards is 21909360043
- The number of decimal digits it has is: 11
- The sum of 34006390912's digits is 37
- More coming soon!
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