34139337878016

Names of 34139337878016

• Cardinal: 34139337878016 can be written as Thirty-four trillion, one hundred thirty-nine billion, three hundred thirty-seven million, eight hundred seventy-eight thousand and sixteen.

Scientific notation

• Scientific notation: 3.4139337878016 × 10¹³

Factors of 34139337878016

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 20
• Sum of prime factors: 7009

Divisors of 34139337878016

• Number of divisors d(n): 700
• Complete list of divisors:
  1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 49 54 56 63 64 72 81 84 96 98 108 112 126 128 144 147 162 168 189 192 196 216 224 252 256 288 294 324 336 343 378 384 392 432 441 448 504 512 567 576 588 648 672 686 756 768 784 864 882 896 1008 1029 1134 1152 1176 1296 1323 1344 1372 1512 1536 1568 1728 1764 1792 2016 2058 2268 2304 2352 2401 2592 2646 2688 2744 3024 3087 3136 3456 3528 3584 3969 4032 4116 4536 4608 4704 4802 5184 5292 5376 5488 6048 6174 6272 6912 6997 7056 7203 7938 8064 8232 9072 9261 9408 9604 10368 10584 10752 10976 12096 12348 12544 13824 13994 14112 14406 15876 16128 16464 16807 18144 18522 18816 19208 20736 20991 21168 21609 21952 24192 24696 25088 27783 27988 28224 28812 31752 32256 32928 33614 36288 37044 37632 38416 41472 41982 42336 43218 43904 48384 48979 49392 50421 55566 55976 56448 57624 62973 63504 64827 65856 67228 72576 74088 75264 76832 83964 84672 86436 87808 96768 97958 98784 100842 111132 111952 112896 115248 117649 125946 127008 129654 131712 134456 145152 146937 148176 151263 153664 167928 169344 172872 175616 188919 194481 195916 197568 201684 222264 223904 225792 230496 235298 251892 254016 259308 263424 268912 290304 293874 296352 302526 307328 335856 338688 342853 345744 352947 377838 388962 391832 395136 403368 440811 444528 447808 453789 460992 470596 503784 508032 518616 526848 537824 566757 587748 592704 605052 614656 671712 677376 685706 691488 705894 755676 777924 783664 790272 806736 881622 889056 895616 907578 921984 941192 1007568 1016064 1028559 1037232 1058841 1075648 1133514 1175496 1185408 1210104 1229312 1322433 1343424 1361367 1371412 1382976 1411788 1511352 1555848 1567328 1580544 1613472 1763244 1778112 1791232 1815156 1843968 1882384 2015136 2032128 2057118 2074464 2117682 2151296 2267028 2350992 2370816 2399971 2420208 2644866 2686848 2722734 2742824 2765952 2823576 3022704 3085677 3111696 3134656 3176523 3226944 3526488 3556224 3582464 3630312 3687936 3764768 3967299 4030272 4114236 4148928 4235364 4302592 4534056 4701984 4741632 4799942 4840416 5289732 5373696 5445468 5485648 5531904 5647152 6045408 6171354 6223392 6269312 6353046 6453888 7052976 7112448 7199913 7260624 7529536 7934598 8060544 8228472 8297856 8470728 8605184 9068112 9257031 9403968 9529569 9599884 9680832 10579464 10747392 10890936 10971296 11063808 11294304 12090816 12342708 12446784 12538624 12706092 12907776 14105952 14224896 14399826 14521248 15059072 15869196 16121088 16456944 16595712 16799797 16941456 18136224 18514062 18807936 19059138 19199768 19361664 21158928 21599739 21781872 21942592 22588608 24181632 24685416 24893568 25077248 25412184 25815552 27771093 28211904 28799652 29042496 30118144 31738392 32242176 32913888 33191424 33599594 33882912 36272448 37028124 37615872 38118276 38399536 38723328 42317856 43199478 43563744 43885184 45177216 48363264 49370832 49787136 50399391 50824368 55542186 56423808 57599304 58084992 60236288 63476784 64799217 65827776 67199188 67765824 72544896 74056248 75231744 76236552 76799072 77446656 84635712 86398956 87127488 87770368 90354432 96726528 98741664 99574272 100798782 101648736 111084372 112847616 115198608 116169984 117598579 126953568 129598434 131655552 134398376 135531648 145089792 148112496 151198173 152473104 153598144 169271424 172797912 174254976 175540736 180708864 194397651 197483328 201597564 203297472 222168744 225695232 230397216 232339968 235197158 253907136 259196868 263311104 268796752 271063296 290179584 296224992 302396346 304946208 307196288 338542848 345595824 348509952 352795737 388795302 394966656 403195128 406594944 444337488 453594519 460794432 470394316 507814272 518393736 526622208 537593504 542126592 592449984 604792692 609892416 614392576 677085696 691191648 697019904 705591474 777590604 789933312 806390256 813189888 823190053 888674976 907189038 921588864 940788632 1015628544 1036787472 1058387211 1075187008 1184899968 1209585384 1219784832 1228785152 1360783557 1382383296 1411182948 1555181208 1579866624 1612780512 1626379776 1646380106 1777349952 1814378076 1843177728 1881577264 2031257088 2073574944 2116774422 2150374016 2369799936 2419170768 2439569664 2469570159 2721567114 2764766592 2822365896 3110362416 3175161633 3225561024 3292760212 3554699904 3628756152 3686355456 3763154528 4147149888 4233548844 4300748032 4739599872 4838341536 4879139328 4939140318 5443134228 5529533184 5644731792 6220724832 6350323266 6451122048 6585520424 7109399808 7257512304 7408710477 7526309056 8294299776 8467097688 8601496064 9525484899 9676683072 9878280636 10886268456 11059066368 11289463584 12441449664 12700646532 12902244096 13171040848 14218799616 14515024608 14817420954 15052618112 16588599552 16934195376 19050969798 19353366144 19756561272 21772536912 22226131431 22578927168 24882899328 25401293064 25804488192 26342081696 29030049216 29634841908 30105236224 33177199104 33868390752 38101939596 38706732288 39513122544 43545073824 44452262862 45157854336 49765798656 50802586128 52684163392 58060098432 59269683816 60210472448 66678394293 67736781504 76203879192 77413464576 79026245088 87090147648 88904525724 90315708672 99531597312 101605172256 105368326784 116120196864 118539367632 133356788586 135473563008 152407758384 158052490176 174180295296 177809051448 180631417344 203210344512 210736653568 232240393728 237078735264 266713577172 270947126016 304815516768 316104980352 348360590592 355618102896 406420689024 421473307136 474157470528 533427154344 541894252032 609631033536 632209960704 696721181184 711236205792 812841378048 948314941056 1066854308688 1219262067072 1264419921408 1422472411584 1625682756096 1896629882112 2133708617376 2438524134144 2844944823168 3793259764224 4267417234752 4877048268288 5689889646336 8534834469504 11379779292672 17069668939008 34139337878016
• Sum of all divisors σ(n): 118896602450538
• Sum of proper divisors (its aliquot sum) s(n): 84757264572522
• 34139337878016 is an abundant number, because the sum of its proper divisors (84757264572522) is greater than itself. Its abundance is 50617926694506

Bases of 34139337878016

• Binary: 111110000110010101111000110110110101000000000₂
• Hexadecimal: 0x1F0CAF1B6A00
• Base-36: C3NE8BK00

Squares and roots of 34139337878016

• 34139337878016 squared (34139337878016²) is 1165494390749338001696096256
• 34139337878016 cubed (34139337878016³) is 39789206800724055554980356565221922308096
• The square root of 34139337878016 is 5842887.8029631889
• The cube root of 34139337878016 is 32440.3126593261

Scales and comparisons

• 34,139,337,878,016 seconds is equal to 1,085,525 years, 17 weeks, 6 days, 10 hours, 33 minutes, 36 seconds.
• To count from 1 to 34,139,337,878,016 would take you about two million, seven hundred thirteen thousand, eight hundred thirteen 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 34139337878016 cubic inches would be around 2703.4 feet tall.

Recreational maths with 34139337878016

• 34139337878016 backwards is 61087873393143
• 34139337878016 is a Harshad number.
• The number of decimal digits it has is: 14
• The sum of 34139337878016's digits is 63
• More coming soon!