135782917175840

Names of 135782917175840

• Cardinal: 135782917175840 can be written as One hundred thirty-five trillion, seven hundred eighty-two billion, nine hundred seventeen million, one hundred seventy-five thousand, eight hundred forty.

Scientific notation

• Scientific notation: 1.3578291717584 × 10¹⁴

Factors of 135782917175840

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 11
• Sum of prime factors: 35232

Divisors of 135782917175840

• Number of divisors d(n): 384
• Complete list of divisors:
  1 2 4 5 8 10 11 16 20 22 32 37 40 44 55 74 80 88 103 110 148 160 176 185 206 220 296 352 370 407 412 440 515 587 592 740 814 824 880 1030 1133 1174 1184 1480 1628 1648 1760 2035 2060 2266 2348 2935 2960 3256 3296 3811 4070 4120 4532 4696 5665 5870 5920 6457 6512 7622 8140 8240 9064 9392 11330 11740 12914 13024 15244 16280 16480 18128 18784 19055 21719 22660 23480 25828 30488 32285 32560 34487 36256 38110 41921 43438 45320 46960 51656 60461 60976 64570 65120 68974 76220 83842 86876 90640 93920 103312 108595 120922 121952 129140 137948 152440 167684 172435 173752 181280 206624 209605 217190 238909 241844 258280 275896 302305 304880 335368 344870 347504 379357 419210 434380 477818 483688 516560 551792 604610 609760 665071 670736 689740 695008 758714 838420 868760 955636 967376 1033120 1103584 1194545 1209220 1276019 1330142 1341472 1379480 1517428 1676840 1737520 1896785 1911272 1934752 2237057 2389090 2418440 2552038 2660284 2758960 3034856 3325355 3353680 3475040 3552161 3793570 3822544 4474114 4778180 4836880 5104076 5320568 5517920 6069712 6380095 6650710 6707360 7104322 7587140 7645088 8948228 9556360 9673760 10208152 10641136 11185285 12139424 12760190 13301420 14036209 14208644 15174280 17760805 17896456 19112720 20243869 20416304 21282272 22370570 24607627 25520380 26602840 28072418 28417288 30348560 35521610 35792912 38225440 39073771 40487738 40832608 44741140 49215254 51040760 53205680 56144836 56834576 60697120 70181045 71043220 71585824 78147542 80975476 89482280 98430508 101219345 102081520 106411360 112289672 113669152 123038135 131429957 140362090 142086440 156295084 161950952 178964560 195368855 196861016 202438690 204163040 222682559 224579344 246076270 262859914 280724180 284172880 312590168 323901904 357929120 390737710 393722032 404877380 445365118 449158688 492152540 525719828 561448360 568345760 625180336 647803808 657149785 749023153 781475420 787444064 809754760 890730236 984305080 1051439656 1113412795 1122896720 1250360672 1314299570 1445729527 1498046306 1562950840 1619509520 1781460472 1968610160 2085118507 2102879312 2226825590 2245793440 2628599140 2891459054 2996092612 3125901680 3239019040 3562920944 3745115765 3937220320 4170237014 4205758624 4453651180 5257198280 5782918108 5992185224 6251803360 7125841888 7228647635 7490231530 8239254683 8340474028 8907302360 10425592535 10514396560 11565836216 11984370448 14457295270 14980463060 16478509366 16680948056 17814604720 20851185070 21028793120 22936303577 23131672432 23968740896 28914590540 29960926120 32957018732 33361896112 35629209440 41196273415 41702370140 45872607154 46263344864 57829181080 59921852240 65914037464 66723792224 77149384759 82392546830 83404740280 91745214308 114681517885 115658362160 119843704480 131828074928 154298769518 164785093660 166809480560 183490428616 229363035770 231316724320 263656149856 308597539036 329570187320 333618961120 366980857232 385746923795 458726071540 617195078072 659140374640 733961714464 771493847590 848643232349 917452143080 1234390156144 1318280749280 1542987695180 1697286464698 1834904286160 2468780312288 3085975390360 3394572929396 3669808572320 4243216161745 6171950780720 6789145858792 8486432323490 12343901561440 13578291717584 16972864646980 27156583435168 33945729293960 67891458587920 135782917175840
• Sum of all divisors σ(n): 363525866016768
• Sum of proper divisors (its aliquot sum) s(n): 227742948840928
• 135782917175840 is an abundant number, because the sum of its proper divisors (227742948840928) is greater than itself. Its abundance is 91960031665088

Bases of 135782917175840

• Binary: 11110110111111001101100100010110111101000100000₂
• Hexadecimal: 0x7B7E6C8B7A20
• Base-36: 1C4PT72PSW

Squares and roots of 135782917175840

• 135782917175840 squared (135782917175840²) is 18437000596781025281479705600
• 135782917175840 cubed (135782917175840³) is 2503429725003630607908035988164626632704000
• The square root of 135782917175840 is 11652592.7233315763
• The cube root of 135782917175840 is 51398.2554248277

Scales and comparisons

• 135,782,917,175,840 seconds is equal to 4,317,476 years, 39 weeks, 4 days, 9 hours, 17 minutes, 20 seconds.
• To count from 1 to 135,782,917,175,840 would take you about ten million, seven hundred ninety-three thousand, six hundred ninety-one 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 135782917175840 cubic inches would be around 4283.2 feet tall.

Recreational maths with 135782917175840

• 135782917175840 backwards is 048571719287531
• The number of decimal digits it has is: 15
• The sum of 135782917175840's digits is 68
• More coming soon!