34140135966720

Names of 34140135966720

• Cardinal: 34140135966720 can be written as Thirty-four trillion, one hundred forty billion, one hundred thirty-five million, nine hundred sixty-six thousand, seven hundred twenty.

Scientific notation

• Scientific notation: 3.414013596672 × 10¹³

Factors of 34140135966720

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 17
• Sum of prime factors: 139488

Divisors of 34140135966720

• Number of divisors d(n): 768
• Complete list of divisors:
  1 2 3 4 5 6 7 8 10 12 14 15 16 17 20 21 24 28 30 32 34 35 40 42 48 51 56 60 64 67 68 70 80 84 85 96 102 105 112 119 120 128 134 136 140 160 168 170 192 201 204 210 224 238 240 255 256 268 272 280 320 335 336 340 357 384 402 408 420 448 469 476 480 510 512 536 544 560 595 640 670 672 680 714 768 804 816 840 896 938 952 960 1005 1020 1024 1072 1088 1120 1139 1190 1280 1340 1344 1360 1407 1428 1536 1608 1632 1680 1785 1792 1876 1904 1920 2010 2040 2048 2144 2176 2240 2278 2345 2380 2560 2680 2688 2720 2814 2856 3072 3216 3264 3360 3417 3570 3584 3752 3808 3840 4020 4080 4288 4352 4480 4556 4690 4760 5120 5360 5376 5440 5628 5695 5712 6144 6432 6528 6720 6834 7035 7140 7168 7504 7616 7680 7973 8040 8160 8576 8704 8960 9112 9380 9520 10240 10720 10752 10880 11256 11390 11424 12864 13056 13440 13668 14070 14280 14336 15008 15232 15360 15946 16080 16320 17085 17152 17408 17920 18224 18760 19040 21440 21504 21760 22512 22780 22848 23919 25728 26112 26880 27336 28140 28560 30016 30464 30720 31892 32160 32640 34170 34304 34816 35840 36448 37520 38080 39865 42880 43008 43520 45024 45560 45696 47838 51456 52224 53760 54672 56280 57120 60032 60928 63784 64320 65280 68340 68608 71680 72896 75040 76160 79730 85760 87040 90048 91120 91392 95676 102912 104448 107520 109344 112560 114240 119595 120064 121856 127568 128640 130560 136680 137216 139387 145792 150080 152320 159460 171520 174080 180096 182240 182784 191352 205824 215040 218688 225120 228480 239190 240128 243712 255136 257280 261120 273360 278774 291584 300160 304640 318920 343040 360192 364480 365568 382704 411648 418161 437376 450240 456960 478380 480256 510272 514560 522240 546720 557548 583168 600320 609280 637840 686080 696935 720384 728960 731136 765408 836322 874752 900480 913920 956760 960512 975709 1020544 1029120 1093440 1115096 1166336 1200640 1218560 1275680 1393870 1440768 1457920 1530816 1672644 1749504 1800960 1827840 1913520 1951418 2041088 2058240 2090805 2186880 2230192 2332672 2369579 2401280 2551360 2787740 2881536 2915840 2927127 3061632 3345288 3499008 3601920 3655680 3827040 3902836 4082176 4181610 4373760 4460384 4739158 4802560 4878545 5102720 5575480 5831680 5854254 6123264 6690576 6998016 7108737 7203840 7654080 7805672 8164352 8363220 8747520 8920768 9338929 9478316 9757090 10205440 11150960 11663360 11708508 11847895 12246528 13381152 14217474 14407680 14635635 15308160 15611344 16328704 16587053 16726440 17495040 17841536 18677858 18956632 19514180 20410880 22301920 23417016 23695790 24493056 26762304 28016787 28434948 29271270 30616320 31222688 33174106 33452880 34990080 35543685 35683072 37355716 37913264 39028360 40821760 44603840 46694645 46834032 47391580 48986112 49761159 53524608 56033574 56869896 58542540 61232640 62445376 65372503 66348212 66905760 71087370 71366144 74711432 75826528 78056720 81643520 82935265 89207680 93389290 93668064 94783160 99522318 107049216 112067148 113739792 117085080 122465280 124890752 130745006 132696424 133811520 140083935 142174740 142732288 149422864 151653056 156113440 158761793 165870530 178415360 186778580 187336128 189566320 196117509 199044636 214098432 224134296 227479584 234170160 244930560 248805795 249781504 261490012 265392848 267623040 280167870 284349480 285464576 298845728 303306112 312226880 317523586 326862515 331741060 356830720 373557160 374672256 379132640 392235018 398089272 428196864 448268592 454959168 468340320 476285379 497611590 499563008 522980024 530785696 535246080 560335740 568698960 597691456 606612224 624453760 635047172 653725030 663482120 713661440 747114320 749344512 758265280 784470036 793808965 796178544 856393728 896537184 909918336 936680640 952570758 980587545 995223180 999126016 1045960048 1061571392 1070492160 1111332551 1120671480 1137397920 1195382912 1213224448 1248907520 1270094344 1307450060 1326964240 1427322880 1494228640 1498689024 1516530560 1568940072 1587617930 1592357088 1793074368 1819836672 1873361280 1905141516 1961175090 1990446360 1998252032 2091920096 2123142784 2140984320 2222665102 2241342960 2274795840 2381426895 2390765824 2426448896 2497815040 2540188688 2614900120 2653928480 2988457280 2997378048 3033061120 3137880144 3175235860 3184714176 3333997653 3586148736 3639673344 3746722560 3810283032 3922350180 3980892720 4183840192 4246285568 4281968640 4445330204 4482685920 4549591680 4762853790 4781531648 4852897792 4995630080 5080377376 5229800240 5307856960 5556662755 5976914560 5994756096 6066122240 6275760288 6350471720 6369428352 6667995306 7172297472 7279346688 7493445120 7620566064 7844700360 7961785440 8367680384 8492571136 8890660408 8965371840 9099183360 9525707580 9563063296 9991260160 10160754752 10459600480 10615713920 11113325510 11953829120 12132244480 12551520576 12700943440 12738856704 13335990612 14344594944 14558693376 14986890240 15241132128 15689400720 15923570880 16669988265 16735360768 16985142272 17781320816 17930743680 18198366720 19051415160 19126126592 20321509504 20919200960 21231427840 22226651020 23907658240 24264488960 25103041152 25401886880 25477713408 26671981224 28689189888 29973780480 30482264256 31378801440 31847141760 33339976530 33470721536 33970284544 35562641632 35861487360 36396733440 38102830320 40643019008 41838401920 42462855680 44453302040 47815316480 50206082304 50803773760 50955426816 53343962448 57378379776 60964528512 62757602880 63694283520 66679953060 66941443072 71125283264 71722974720 72793466880 76205660640 81286038016 83676803840 84925711360 88906604080 95630632960 100412164608 101607547520 101910853632 106687924896 121929057024 125515205760 127388567040 133359906120 133882886144 142250566528 143445949440 152411321280 162572076032 167353607680 169851422720 177813208160 200824329216 203215095040 213375849792 243858114048 251030411520 254777134080 266719812240 284501133056 286891898880 304822642560 325144152064 334707215360 355626416320 401648658432 406430190080 426751699584 487716228096 502060823040 509554268160 533439624480 569002266112 609645285120 669414430720 711252832640 812860380160 853503399168 975432456192 1004121646080 1066879248960 1138004532224 1219290570240 1422505665280 1625720760320 1707006798336 2008243292160 2133758497920 2276009064448 2438581140480 2845011330560 3414013596672 4267516995840 4877162280960 5690022661120 6828027193344 8535033991680 11380045322240 17070067983360 34140135966720
• Sum of all divisors σ(n): 134141123450880
• Sum of proper divisors (its aliquot sum) s(n): 100000987484160
• 34140135966720 is an abundant number, because the sum of its proper divisors (100000987484160) is greater than itself. Its abundance is 65860851517440

Bases of 34140135966720

• Binary: 111110000110011011110101011010100100000000000₂
• Hexadecimal: 0x1F0CDEAD4800
• Base-36: C3NRFHD6O

Squares and roots of 34140135966720

• 34140135966720 squared (34140135966720²) is 1165548883826128548947558400
• 34140135966720 cubed (34140135966720³) is 39791997369682762160818742534967656448000
• The square root of 34140135966720 is 5842956.0983050351
• The cube root of 34140135966720 is 32440.5654473311

Scales and comparisons

• 34,140,135,966,720 seconds is equal to 1,085,550 years, 37 weeks, 3 days, 13 hours, 52 minutes.
• To count from 1 to 34,140,135,966,720 would take you about two million, seven hundred thirteen thousand, eight hundred seventy-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 34140135966720 cubic inches would be around 2703.4 feet tall.

Recreational maths with 34140135966720

• 34140135966720 backwards is 02766953104143
• 34140135966720 is a Harshad number.
• The number of decimal digits it has is: 14
• The sum of 34140135966720's digits is 51
• More coming soon!