34138500430239744
34,138,500,430,239,744 is an even composite number composed of five prime numbers multiplied together.
34138500430239744 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, nine hundred forty-four divisors.
Prime factorization of 34138500430239744:
211 × 3 × 72 × 118 × 232
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 7 × 7 × 11 × 11 × 11 × 11 × 11 × 11 × 11 × 11 × 23 × 23)See below for interesting mathematical facts about the number 34138500430239744 from the Numbermatics database.
Names of 34138500430239744
- Cardinal: 34138500430239744 can be written as Thirty-four quadrillion, one hundred thirty-eight trillion, five hundred billion, four hundred thirty million, two hundred thirty-nine thousand, seven hundred forty-four.
Scientific notation
- Scientific notation: 3.4138500430239744 × 1016
Factors of 34138500430239744
Divisors of 34138500430239744
- Number of divisors d(n): 1944
-
Complete list of divisors:
1 2 3 4 6 7 8 11 12 14 16 21 22 23 24 28 32 33 42 44 46 48 49 56 64 66 69 77 84 88 92 96 98 112 121 128 132 138 147 154 161 168 176 184 192 196 224 231 242 253 256 264 276 294 308 322 336 352 363 368 384 392 448 462 483 484 506 512 528 529 539 552 588 616 644 672 704 726 736 759 768 784 847 896 924 966 968 1012 1024 1056 1058 1078 1104 1127 1176 1232 1288 1331 1344 1408 1452 1472 1518 1536 1568 1587 1617 1694 1771 1792 1848 1932 1936 2024 2048 2112 2116 2156 2208 2254 2352 2464 2541 2576 2662 2688 2783 2816 2904 2944 3036 3072 3136 3174 3234 3381 3388 3542 3584 3696 3703 3864 3872 3993 4048 4224 4232 4312 4416 4508 4704 4928 5082 5152 5313 5324 5376 5566 5632 5808 5819 5888 5929 6072 6144 6272 6348 6468 6762 6776 7084 7168 7392 7406 7728 7744 7986 8096 8349 8448 8464 8624 8832 9016 9317 9408 9856 10164 10304 10626 10648 10752 11109 11132 11264 11616 11638 11776 11858 12144 12397 12544 12696 12936 13524 13552 14168 14336 14641 14784 14812 15456 15488 15972 16192 16698 16896 16928 17248 17457 17664 17787 18032 18634 18816 19481 19712 20328 20608 21252 21296 21504 22218 22264 22528 23232 23276 23552 23716 24288 24794 25088 25392 25872 25921 27048 27104 27951 28336 29282 29568 29624 30613 30912 30976 31944 32384 33396 33792 33856 34496 34914 35328 35574 36064 37191 37268 37632 38962 39424 40656 40733 41216 42504 42592 43008 43923 44436 44528 46464 46552 47104 47432 48576 49588 50176 50784 51744 51842 54096 54208 55902 56672 58443 58564 59136 59248 61226 61824 61952 63888 64009 64768 65219 66792 67584 67712 68992 69828 70656 71148 72128 74382 74536 75264 77763 77924 78848 81312 81466 82432 85008 85184 87846 88872 89056 91839 92928 93104 94864 97152 99176 100352 101568 102487 103488 103684 108192 108416 111804 113344 116886 117128 118272 118496 122199 122452 123648 123904 127776 128018 129536 130438 133584 135424 136367 137984 139656 141312 142296 144256 148764 149072 150528 155526 155848 157696 161051 162624 162932 164864 170016 170368 175692 177744 178112 183678 185856 186208 189728 192027 194304 195657 198352 203136 204974 206976 207368 214291 216384 216832 223608 226688 233772 234256 236544 236992 244398 244904 247296 247808 255552 256036 259072 260876 267168 270848 272734 275968 279312 284592 285131 288512 297528 298144 301056 307461 311052 311696 322102 325248 325864 329728 336743 340032 340736 351384 355488 356224 367356 371712 372416 379456 384054 388608 391314 396704 406272 409101 409948 413952 414736 428582 432768 433664 447216 448063 453376 467544 468512 473088 473984 483153 488796 489808 494592 511104 512072 518144 521752 534336 541696 545468 551936 558624 569184 570262 577024 595056 596288 614922 622104 623392 642873 644204 650496 651728 673486 680064 681472 702768 704099 710976 712448 717409 734712 743424 744832 758912 768108 777216 782628 793408 812544 818202 819896 827904 829472 855393 857164 865536 867328 894432 896126 906752 935088 937024 947968 966306 977592 979616 989184 1010229 1022208 1024144 1043504 1068672 1083392 1090936 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11379500143413248 17069250215119872 34138500430239744
- Sum of all divisors σ(n): 121744135645570620
- Sum of proper divisors (its aliquot sum) s(n): 87605635215330876
- 34138500430239744 is an abundant number, because the sum of its proper divisors (87605635215330876) is greater than itself. Its abundance is 53467134785091132
Bases of 34138500430239744
- Binary: 11110010100100011001001000001110100111100011000000000002
- Hexadecimal: 0x7948C9074F1800
- Base-36: 9C536LA7CAO
Squares and roots of 34138500430239744
- 34138500430239744 squared (341385004302397442) is 1165437211625479186194237317185536
- 34138500430239744 cubed (341385004302397443) is 39786278750493828775711959598275418357151809142784
-
The
square root of 34138500430239744 is 184766069.4777040063 -
The
cube root of 34138500430239744 is 324400.4740042419
Scales and comparisons
How big is 34138500430239744?- 34,138,500,430,239,744 seconds is equal to 1,085,498,716 years, 19 weeks, 9 hours, 42 minutes, 24 seconds.
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To count from 1 to 34,138,500,430,239,744 would take you about three billion, two hundred fifty-six million, four hundred ninety-six thousand, one hundred forty-nine 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 34138500430239744 cubic inches would be around 27033.4 feet tall.
Recreational maths with 34138500430239744
- 34138500430239744 backwards is 44793203400583143
- The number of decimal digits it has is: 17
- The sum of 34138500430239744's digits is 60
- More coming soon!
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The information we have on file for 34138500430239744 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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