34910653137920

Names of 34910653137920

• Cardinal: 34910653137920 can be written as Thirty-four trillion, nine hundred ten billion, six hundred fifty-three million, one hundred thirty-seven thousand, nine hundred twenty.

Scientific notation

• Scientific notation: 3.491065313792 × 10¹³

Factors of 34910653137920

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 15
• Sum of prime factors: 20539

Divisors of 34910653137920

• Number of divisors d(n): 352
• Complete list of divisors:
  1 2 4 5 7 8 10 14 16 20 28 32 35 40 53 56 64 70 80 106 112 128 140 160 212 224 256 265 280 320 371 424 448 512 530 560 640 742 848 896 941 1024 1060 1120 1280 1484 1696 1792 1855 1882 2120 2240 2560 2968 3392 3584 3710 3764 4240 4480 4705 5120 5936 6587 6784 7168 7420 7528 8480 8960 9410 11872 13174 13568 14840 15056 16960 17920 18820 19531 23744 26348 27136 29680 30112 32935 33920 35840 37640 39062 47488 49873 52696 54272 59360 60224 65870 67840 75280 78124 94976 97655 99746 105392 118720 120448 131740 135680 136717 150560 156248 189952 195310 199492 210784 237440 240896 249365 263480 271360 273434 301120 312496 349111 379904 390620 398984 421568 474880 481792 498730 526960 546868 602240 624992 683585 698222 781240 797968 843136 949760 963584 997460 1035143 1053920 1093736 1204480 1249984 1367170 1396444 1562480 1595936 1686272 1745555 1899520 1994920 2070286 2107840 2187472 2408960 2499968 2734340 2792888 3124960 3191872 3372544 3491110 3989840 4140572 4215680 4374944 4817920 4999936 5175715 5468680 5585776 6249920 6383744 6745088 6982220 7246001 7979680 8281144 8431360 8749888 9999872 10351430 10937360 11171552 12499840 12767488 13964440 14492002 15959360 16562288 16862720 17499776 18378671 19999744 20702860 21874720 22343104 24999680 25534976 27928880 28984004 31918720 33124576 33725440 34999552 36230005 36757342 41405720 43749440 44686208 49999360 51069952 55857760 57968008 63837440 66249152 69999104 72460010 73514684 82811440 87498880 89372416 91893355 99998720 111715520 115936016 127674880 128650697 132498304 139998208 144920020 147029368 165622880 174997760 178744832 183786710 223431040 231872032 255349760 257301394 264996608 289840040 294058736 331245760 349995520 357489664 367573420 446862080 463744064 514602788 529993216 579680080 588117472 643253485 662491520 699991040 735146840 893724160 927488128 974069563 1029205576 1059986432 1159360160 1176234944 1286506970 1324983040 1470293680 1787448320 1854976256 1948139126 2058411152 2318720320 2352469888 2573013940 2649966080 2940587360 3709952512 3896278252 4116822304 4637440640 4704939776 4870347815 5146027880 5299932160 5881174720 6818486941 7419905024 7792556504 8233644608 9274881280 9409879552 9740695630 10292055760 11762349440 13636973882 15585113008 16467289216 18549762560 18819759104 19481391260 20584111520 23524698880 27273947764 31170226016 32934578432 34092434705 37099525120 38962782520 41168223040 47049397760 54547895528 62340452032 65869156864 68184869410 77925565040 82336446080 94098795520 109095791056 124680904064 131738313728 136369738820 155851130080 164672892160 218191582112 249361808128 272739477640 311702260160 329345784320 436383164224 498723616256 545478955280 623404520320 658691568640 872766328448 997447232512 1090957910560 1246809040640 1745532656896 2181915821120 2493618081280 3491065313792 4363831642240 4987236162560 6982130627584 8727663284480 17455326568960 34910653137920
• Sum of all divisors σ(n): 97622619814656
• Sum of proper divisors (its aliquot sum) s(n): 62711966676736
• 34910653137920 is an abundant number, because the sum of its proper divisors (62711966676736) is greater than itself. Its abundance is 27801313538816

Bases of 34910653137920

• Binary: 111111100000001000101000101000100010000000000₂
• Hexadecimal: 0x1FC045144400
• Base-36: CDHQDIFI8

Squares and roots of 34910653137920

• 34910653137920 squared (34910653137920²) is 1218753702516163542541926400
• 34910653137920 cubed (34910653137920³) is 42547487769097522975961206289321689088000
• The square root of 34910653137920 is 5908523.7697685537
• The cube root of 34910653137920 is 32682.8051443661

Scales and comparisons

• 34,910,653,137,920 seconds is equal to 1,110,050 years, 40 weeks, 5 days, 9 hours, 25 minutes, 20 seconds.
• To count from 1 to 34,910,653,137,920 would take you about two million, seven hundred seventy-five thousand, one hundred twenty-six 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 34910653137920 cubic inches would be around 2723.6 feet tall.

Recreational maths with 34910653137920

• 34910653137920 backwards is 02973135601943
• 34910653137920 is a Harshad number.
• The number of decimal digits it has is: 14
• The sum of 34910653137920's digits is 53
• More coming soon!