34038068736
34,038,068,736 is an even composite number composed of five prime numbers multiplied together.
34038068736 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of four hundred eighty divisors.
Prime factorization of 34038068736:
29 × 3 × 73 × 23 × 532
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 7 × 7 × 7 × 23 × 53 × 53)See below for interesting mathematical facts about the number 34038068736 from the Numbermatics database.
Names of 34038068736
- Cardinal: 34038068736 can be written as Thirty-four billion, thirty-eight million, sixty-eight thousand, seven hundred thirty-six.
Scientific notation
- Scientific notation: 3.4038068736 × 1010
Factors of 34038068736
Divisors of 34038068736
- Number of divisors d(n): 480
-
Complete list of divisors:
1 2 3 4 6 7 8 12 14 16 21 23 24 28 32 42 46 48 49 53 56 64 69 84 92 96 98 106 112 128 138 147 159 161 168 184 192 196 212 224 256 276 294 318 322 336 343 368 371 384 392 424 448 483 512 552 588 636 644 672 686 736 742 768 784 848 896 966 1029 1104 1113 1127 1176 1219 1272 1288 1344 1372 1472 1484 1536 1568 1696 1792 1932 2058 2208 2226 2254 2352 2438 2544 2576 2597 2688 2744 2809 2944 2968 3136 3381 3392 3584 3657 3864 4116 4416 4452 4508 4704 4876 5088 5152 5194 5376 5488 5618 5888 5936 6272 6762 6784 7314 7728 7791 7889 8232 8427 8533 8832 8904 9016 9408 9752 10176 10304 10388 10752 10976 11236 11776 11872 12544 13524 13568 14628 15456 15582 15778 16464 16854 17066 17664 17808 18032 18179 18816 19504 19663 20352 20608 20776 21952 22472 23667 23744 25088 25599 27048 27136 29256 30912 31164 31556 32928 33708 34132 35328 35616 36064 36358 37632 39008 39326 40704 41216 41552 43904 44944 47334 47488 51198 54096 54537 58512 58989 59731 61824 62328 63112 64607 65856 67416 68264 71232 72128 72716 75264 78016 78652 81408 82432 83104 87808 89888 94668 94976 102396 108192 109074 117024 117978 119462 123648 124656 126224 129214 131712 134832 136528 137641 142464 144256 145432 156032 157304 166208 175616 179193 179776 189336 189952 193821 204792 216384 218148 234048 235956 238924 247296 249312 252448 258428 263424 269664 273056 275282 284928 288512 290864 312064 314608 332416 358386 359552 378672 387642 409584 412923 418117 432768 436296 452249 468096 471912 477848 498624 504896 516856 526848 539328 546112 550564 569856 577024 581728 624128 629216 664832 716772 719104 757344 775284 819168 825846 836234 865536 872592 904498 936192 943824 955696 963487 997248 1009792 1033712 1078656 1092224 1101128 1163456 1254351 1258432 1329664 1356747 1433544 1438208 1514688 1550568 1638336 1651692 1672468 1731072 1745184 1808996 1872384 1887648 1911392 1926974 1994496 2019584 2067424 2157312 2184448 2202256 2326912 2508702 2516864 2713494 2867088 2890461 3029376 3101136 3165743 3276672 3303384 3344936 3490368 3617992 3775296 3822784 3853948 3988992 4039168 4134848 4314624 4368896 4404512 4653824 5017404 5033728 5426988 5734176 5780922 6058752 6202272 6331486 6553344 6606768 6689872 6980736 7235984 7550592 7645568 7707896 8269696 8809024 9307648 9497229 10034808 10067456 10853976 11468352 11561844 12117504 12404544 12662972 13106688 13213536 13379744 13961472 14471968 15101184 15291136 15415792 16539392 17618048 18994458 20069616 21707952 22160201 22936704 23123688 24809088 25325944 26427072 26759488 27922944 28943936 30202368 30582272 30831584 33078784 35236096 37988916 40139232 43415904 44320402 45873408 46247376 49618176 50651888 52854144 53518976 57887872 61663168 66480603 70472192 75977832 80278464 86831808 88640804 91746816 92494752 99236352 101303776 105708288 107037952 115775744 123326336 132961206 151955664 160556928 173663616 177281608 184989504 202607552 211416576 214075904 231551488 246652672 265922412 303911328 321113856 347327232 354563216 369979008 405215104 493305344 531844824 607822656 642227712 694654464 709126432 739958016 810430208 1063689648 1215645312 1418252864 1479916032 1620860416 2127379296 2431290624 2836505728 4254758592 4862581248 5673011456 8509517184 11346022912 17019034368 34038068736
- Sum of all divisors σ(n): 112467801600
- Sum of proper divisors (its aliquot sum) s(n): 78429732864
- 34038068736 is an abundant number, because the sum of its proper divisors (78429732864) is greater than itself. Its abundance is 44391664128
Bases of 34038068736
- Binary: 111111011001101001110110110000000002
- Hexadecimal: 0x7ECD3B600
- Base-36: FMXDXXC
Squares and roots of 34038068736
- 34038068736 squared (340380687362) is 1158590123276660637696
- 34038068736 cubed (340380687363) is 39436170252941688330442040672256
-
The
square root of 34038068736 is 184494.0886207469 -
The
cube root of 34038068736 is 3240.8204476129
Scales and comparisons
How big is 34038068736?- 34,038,068,736 seconds is equal to 1,082 years, 15 weeks, 6 days, 3 hours, 5 minutes, 36 seconds.
-
To count from 1 to 34,038,068,736 would take you about two thousand, one hundred sixty-four 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 34038068736 cubic inches would be around 270.1 feet tall.
Recreational maths with 34038068736
- 34038068736 backwards is 63786083043
- 34038068736 is a
Harshad number . - The number of decimal digits it has is: 11
- The sum of 34038068736's digits is 48
- More coming soon!
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