34000802490720

Names of 34000802490720

• Cardinal: 34000802490720 can be written as Thirty-four trillion, eight hundred two million, four hundred ninety thousand, seven hundred twenty.

Scientific notation

• Scientific notation: 3.400080249072 × 10¹³

Factors of 34000802490720

• Number of distinct prime factors ω(n): 8
• Total number of prime factors Ω(n): 12
• Sum of prime factors: 1667

Divisors of 34000802490720

• Number of divisors d(n): 768
• Complete list of divisors:
  1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 32 39 40 48 52 60 65 78 80 96 104 113 120 130 156 157 160 195 208 226 240 260 281 312 314 339 390 416 452 471 480 520 562 565 624 628 678 780 785 843 904 942 1040 1093 1124 1130 1248 1256 1356 1405 1469 1560 1570 1686 1695 1808 1884 2041 2080 2186 2248 2260 2355 2512 2712 2810 2938 3120 3140 3279 3372 3390 3616 3653 3768 4082 4215 4372 4407 4496 4520 4710 5024 5424 5465 5620 5876 6123 6240 6280 6558 6744 6780 7306 7345 7536 8164 8430 8744 8814 8992 9040 9420 10205 10848 10930 10959 11240 11752 12246 12560 13116 13488 13560 14209 14612 14690 15072 16328 16395 16860 17488 17628 17741 18080 18265 18840 20410 21860 21918 22035 22480 23504 24492 25120 26232 26976 27120 28418 29224 29380 30615 31753 32656 32790 33720 34976 35256 35482 36530 37680 40820 42627 43720 43836 44070 44117 44960 47008 48984 52464 53223 54240 54795 56836 58448 58760 61230 63506 65312 65580 67440 70512 70964 71045 73060 75360 81640 85254 87440 87672 88140 88234 88705 95259 97968 104928 106446 109590 113672 116896 117520 122460 123509 127012 131160 132351 134880 141024 141928 142090 146120 158765 163280 170508 171601 174880 175344 176280 176468 177410 190518 195936 212892 213135 219180 220585 227344 230633 235040 244920 247018 254024 262320 264702 266115 283856 284180 292240 307133 317530 326560 341016 343202 350688 352560 352936 354820 370527 381036 412789 425784 426270 438360 441170 454688 461266 476295 489840 494036 508048 514803 524640 529404 532230 567712 568360 573521 584480 614266 617545 635060 661755 682032 686404 691899 705120 705872 709640 741054 762072 825578 851568 852540 858005 876720 882340 921399 922532 952590 979680 988072 1016096 1029606 1058808 1064460 1136720 1147042 1153165 1228532 1235090 1238367 1270120 1323510 1364064 1372808 1383798 1411744 1419280 1482108 1524144 1535665 1605617 1651156 1703136 1705080 1716010 1720563 1753440 1764680 1842798 1845064 1852635 1905180 1976144 2059212 2063945 2117616 2128920 2230813 2273440 2294084 2306330 2457064 2470180 2476734 2540240 2574015 2647020 2745616 2767596 2838560 2867605 2964216 3048288 3071330 3211234 3302312 3410160 3432020 3441126 3459495 3529360 3685596 3690128 3705270 3810360 3952288 3992729 4118424 4127890 4235232 4257840 4461626 4588168 4606995 4612660 4816851 4914128 4940360 4953468 4985221 5080480 5148030 5294040 5491232 5535192 5735210 5928432 6142660 6191835 6422468 6604624 6692439 6820320 6864040 6882252 6918990 7058720 7371192 7380256 7410540 7620720 7985458 8028085 8236848 8255780 8515680 8602815 8923252 9176336 9213990 9225320 9633702 9828256 9880720 9906936 9970442 10296060 10588080 11070384 11154065 11470420 11856864 11978187 12285320 12383670 12844936 13209248 13384878 13728080 13764504 13837980 14742384 14821080 14955663 15241440 15970916 16056170 16473696 16511560 17205630 17846504 18352672 18427980 18450640 19267404 19390913 19761440 19813872 19940884 19963645 20592120 21176160 22140768 22308130 22940840 23956374 24084255 24570640 24767340 24926105 25689872 26769756 27456160 27529008 27675960 29484768 29642160 29911326 31941832 32112340 33023120 33462195 34411260 34706029 35693008 36855960 36901280 38534808 38781826 39627744 39881768 39927290 41184240 44616260 45881680 47912748 48168510 48219881 49141280 49534680 49852210 51379744 53539512 55058016 55351920 58172739 59284320 59822652 59890935 63883664 64224680 64807873 66046240 66924390 68822520 69412058 71386016 73711920 74778315 77069616 77563652 79763536 79854580 82368480 89232520 91763360 95825496 96337020 96439762 96954565 99069360 99704420 104118087 107079024 110703840 116345478 119645304 119781870 127767328 128449360 129615746 133848780 137645040 138824116 144659643 147423840 149556630 154139232 155127304 159527072 159709160 173530145 178465040 191650992 192674040 192879524 193909130 194423619 198138720 199408840 208236174 214158048 232690956 239290608 239563740 241099405 252081869 256898720 259231492 267697560 275290080 277648232 289319286 290863695 299113260 310254608 319418320 324039365 347060290 356930080 383301984 385348080 385759048 387818260 388847238 398817680 416472348 451178377 465381912 478581216 479127480 482198810 504163738 518462984 520590435 535395120 555296464 578638572 581727390 598226520 620509216 626858453 638836640 648078730 694120580 723298215 756245607 770696160 771518096 775636520 777694476 797635360 832944696 902356754 930763824 958254960 964397620 972118095 1008327476 1036925968 1041180870 1070790240 1110592928 1157277144 1163454780 1196453040 1253716906 1260409345 1296157460 1353535131 1388241160 1446596430 1512491214 1543036192 1551273040 1555388952 1665889392 1804713508 1861527648 1880575359 1916509920 1928795240 1944236190 2016654952 2073851936 2082361740 2255891885 2314554288 2326909560 2392906080 2507433812 2520818690 2592314920 2707070262 2776482320 2893192860 3024982428 3102546080 3110777904 3134292265 3331778784 3609427016 3761150718 3781228035 3857590480 3888472380 4033309904 4164723480 4511783770 4629108576 4653819120 5014867624 5041637380 5184629840 5414140524 5448846553 5552964640 5786385720 6049964856 6221555808 6268584530 6767675655 7218854032 7522301436 7562456070 7715180960 7776944760 8066619808 8329446960 9023567540 9307638240 9402876795 10029735248 10083274760 10369259680 10828281048 10897693106 11572771440 12099929712 12537169060 13535351310 14437708064 15044602872 15124912140 15553889520 16346539659 16658893920 18047135080 18805753590 20059470496 20166549520 21656562096 21795386212 23145542880 24199859424 25074338120 27070702620 27244232765 30089205744 30249824280 31107779040 32693079318 36094270160 37611507180 40333099040 43313124192 43590772424 50148676240 54141405240 54488465530 60178411488 60499648560 65386158636 70835005189 72188540320 75223014360 81732698295 87181544848 100297352480 108282810480 108976931060 120999297120 130772317272 141670010378 150446028720 163465396590 174363089696 212505015567 216565620960 217953862120 261544634544 283340020756 300892057440 326930793180 354175025945 425010031134 435907724240 523089269088 566680041512 653861586360 708350051890 850020062268 871815448480 1062525077835 1133360083024 1307723172720 1416700103780 1700040124536 2125050155670 2266720166048 2615446345440 2833400207560 3400080249072 4250100311340 5666800415120 6800160498144 8500200622680 11333600830240 17000401245360 34000802490720
• Sum of all divisors σ(n): 117627318160128
• Sum of proper divisors (its aliquot sum) s(n): 83626515669408
• 34000802490720 is an abundant number, because the sum of its proper divisors (83626515669408) is greater than itself. Its abundance is 49625713178688

Bases of 34000802490720

• Binary: 111101110110001101101110000010010100101100000₂
• Hexadecimal: 0x1EEC6DC12960
• Base-36: C1VR3XF1C

Squares and roots of 34000802490720

• 34000802490720 squared (34000802490720²) is 1156054570012951355686118400
• 34000802490720 cubed (34000802490720³) is 39306783103504595077070775129248821248000
• The square root of 34000802490720 is 5831020.7074507977
• The cube root of 34000802490720 is 32396.3728890447

Scales and comparisons

• 34,000,802,490,720 seconds is equal to 1,081,120 years, 18 weeks, 14 hours, 32 minutes.
• To count from 1 to 34,000,802,490,720 would take you about two million, seven hundred two thousand, eight hundred 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 34000802490720 cubic inches would be around 2699.7 feet tall.

Recreational maths with 34000802490720

• 34000802490720 backwards is 02709420800043
• 34000802490720 is a Harshad number.
• The number of decimal digits it has is: 14
• The sum of 34000802490720's digits is 39
• More coming soon!