135202371421818120

Names of 135202371421818120

• Cardinal: 135202371421818120 can be written as One hundred thirty-five quadrillion, two hundred two trillion, three hundred seventy-one billion, four hundred twenty-one million, eight hundred eighteen thousand, one hundred twenty.

Scientific notation

• Scientific notation: 1.3520237142181812 × 10¹⁷

Factors of 135202371421818120

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 9
• Sum of prime factors: 2968524

Divisors of 135202371421818120

• Number of divisors d(n): 256
• Complete list of divisors:
  1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 420 840 1289 2578 3867 5156 6445 7734 9023 10312 12890 15468 18046 19335 25780 27069 30936 36092 38670 42697 45115 51560 54138 72184 77340 85394 90230 108276 128091 135345 154680 170788 180460 213485 216552 256182 270690 298879 341576 360920 426970 512364 541380 597758 640455 853940 896637 1024728 1082760 1195516 1280910 1494395 1707880 1793274 2391032 2561820 2924521 2988790 3586548 4483185 5123640 5849042 5977580 7173096 8773563 8966370 11698084 11955160 14622605 17547126 17932740 20471647 23396168 29245210 35094252 35865480 40943294 43867815 55036433 58490420 61414941 70188504 81886588 87735630 102358235 110072866 116980840 122829882 163773176 165109299 175471260 204716470 220145732 245659764 275182165 307074705 330218598 350942520 385255031 409432940 440291464 491319528 550364330 614149410 660437196 770510062 818865880 825546495 1100728660 1155765093 1228298820 1320874392 1541020124 1651092990 1926275155 2201457320 2311530186 2456597640 3082040248 3302185980 3769707569 3852550310 4623060372 5778825465 6604371960 7539415138 7705100620 9246120744 11309122707 11557650930 15078830276 15410201240 18848537845 22618245414 23115301860 26387952983 30157660552 37697075690 45236490828 46230603720 52775905966 56545613535 75394151380 79163858949 90472981656 105551811932 113091227070 124868273137 131939764915 150788302760 158327717898 211103623864 226182454140 249736546274 263879529830 316655435796 374604819411 395819294745 452364908280 499473092548 527759059660 624341365685 633310871592 749209638822 791638589490 874077911959 998946185096 1055518119320 1248682731370 1498419277644 1583277178980 1748155823918 1873024097055 2497365462740 2622233735877 2996838555288 3166554357960 3496311647836 3746048194110 4370389559795 4994730925480 5244467471754 6992623295672 7492096388220 8740779119590 10488934943508 13111168679385 14984192776440 17481558239180 20977869887016 26222337358770 34963116478360 52444674717540 104889349435080 160955204073593 321910408147186 482865612220779 643820816294372 804776020367965 965731224441558 1126686428515151 1287641632588744 1609552040735930 1931462448883116 2253372857030302 2414328061103895 3219104081471860 3380059285545453 3862924897766232 4506745714060604 4828656122207790 5633432142575755 6438208162943720 6760118571090906 9013491428121208 9657312244415580 11266864285151510 13520237142181812 16900296427727265 19314624488831160 22533728570303020 27040474284363624 33800592855454530 45067457140606040 67601185710909060 135202371421818120
• Sum of all divisors σ(n): 463921632170611200
• Sum of proper divisors (its aliquot sum) s(n): 328719260748793080
• 135202371421818120 is an abundant number, because the sum of its proper divisors (328719260748793080) is greater than itself. Its abundance is 193516889326974960

Bases of 135202371421818120

• Binary: 111100000010101011101011100101001011000110100110100001000₂
• Hexadecimal: 0x1E055D729634D08
• Base-36: 10Z98NZ6RMKO

Squares and roots of 135202371421818120

• 135202371421818120 squared (135202371421818120²) is 18279681238083261087455566360334400
• 135202371421818120 cubed (135202371421818120³) is 2471456252223773168483584524444713818513899179328000
• The square root of 135202371421818120 is 367698750.9114194965
• The cube root of 135202371421818120 is 513248.9895527837

Scales and comparisons

• 135,202,371,421,818,120 seconds is equal to 4,299,017,202 years, 42 weeks, 4 days, 14 hours, 22 minutes.
• To count from 1 to 135,202,371,421,818,120 would take you about twelve billion, eight hundred ninety-seven million, fifty-one thousand, six hundred eight 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 135202371421818120 cubic inches would be around 42770.7 feet tall.

Recreational maths with 135202371421818120

• 135202371421818120 backwards is 021818124173202531
• The number of decimal digits it has is: 18
• The sum of 135202371421818120's digits is 51
• More coming soon!