34142772472704

Names of 34142772472704

• Cardinal: 34142772472704 can be written as Thirty-four trillion, one hundred forty-two billion, seven hundred seventy-two million, four hundred seventy-two thousand, seven hundred four.

Scientific notation

• Scientific notation: 3.4142772472704 × 10¹³

Factors of 34142772472704

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 14
• Sum of prime factors: 2142

Divisors of 34142772472704

• Number of divisors d(n): 432
• Complete list of divisors:
  1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 31 32 36 42 48 56 62 63 64 72 84 93 96 112 124 126 128 144 168 186 192 217 224 248 252 279 288 336 372 384 434 448 496 504 558 576 651 672 744 868 896 961 992 1008 1116 1152 1302 1344 1488 1736 1922 1953 1984 2016 2099 2232 2604 2688 2883 2976 3472 3844 3906 3968 4032 4198 4464 5208 5766 5952 6297 6727 6944 7688 7812 8064 8396 8649 8928 10416 11532 11904 12594 13454 13888 14693 15376 15624 16792 17298 17856 18891 20181 20832 23064 25188 26908 27776 29386 30752 31248 33584 34596 35712 37782 40362 41664 44079 46128 50376 53816 58772 60543 61504 62496 65069 67168 69192 75564 80724 83328 88158 92256 100752 107632 117544 121086 123008 124992 130138 132237 134336 138384 151128 161448 176316 184512 195207 201504 215264 235088 242172 249984 260276 264474 268672 276768 302256 322896 352632 369024 390414 403008 430528 455483 470176 484344 520552 528948 553536 585621 604512 645792 705264 780828 806016 861056 910966 940352 968688 1041104 1057896 1107072 1171242 1209024 1291584 1366449 1410528 1561656 1821932 1880704 1937376 2017139 2082208 2115792 2342484 2418048 2583168 2732898 2821056 3123312 3643864 3874752 4034278 4099347 4164416 4231584 4405801 4684968 5465796 5642112 6051417 6246624 7287728 7749504 8068556 8198694 8328832 8463168 8811602 9369936 10931592 12102834 12493248 13217403 14119973 14575456 16137112 16397388 16926336 17623204 18154251 18739872 21863184 24205668 24986496 26434806 28239946 29150912 30840607 32274224 32794776 35246408 36308502 37479744 39652209 42359919 43726368 48411336 52869612 56479892 58301824 61681214 64548448 65589552 70492816 72617004 74959488 79304418 84719838 87452736 92521821 96822672 105739224 112959784 123362428 127079757 129096896 131179104 136579831 140985632 145234008 158608836 169439676 174905472 185043642 193645344 211478448 225919568 246724856 254159514 258193792 262358208 273159662 277565463 281971264 290468016 317217672 338879352 370087284 387290688 409739493 422956896 451839136 493449712 508319028 524716416 546319324 555130926 563942528 580936032 634435344 677758704 740174568 774581376 819478986 845913792 903678272 956058817 986899424 1016638056 1092638648 1110261852 1161872064 1229218479 1268870688 1355517408 1480349136 1638957972 1691827584 1807356544 1912117634 1973798848 2033276112 2185277296 2220523704 2323744128 2458436958 2537741376 2711034816 2868176451 2960698272 3277915944 3824235268 3947597696 4066552224 4233974761 4370554592 4441047408 4916873916 5075482752 5422069632 5736352902 5921396544 6555831888 7648470536 8133104448 8467949522 8604529353 8741109184 8882094816 9833747832 11472705804 11842793088 12701924283 13111663776 15296941072 16266208896 16935899044 17209058706 17482218368 17764189632 19667495664 22945411608 25403848566 26223327552 29637823327 30593882144 33871798088 34418117412 35528379264 38105772849 39334991328 45890823216 50807697132 52446655104 59275646654 61187764288 67743596176 68836234824 76211545698 78669982656 88913469981 91781646432 101615394264 118551293308 122375528576 135487192352 137672469648 152423091396 157339965312 177826939962 183563292864 203230788528 237102586616 266740409943 270974384704 275344939296 304846182792 355653879924 367126585728 406461577056 474205173232 533480819886 541948769408 550689878592 609692365584 711307759848 812923154112 948410346464 1066961639772 1101379757184 1219384731168 1422615519696 1625846308224 1896820692928 2133923279544 2438769462336 2845231039392 3793641385856 4267846559088 4877538924672 5690462078784 8535693118176 11380924157568 17071386236352 34142772472704
• Sum of all divisors σ(n): 116079251778360
• Sum of proper divisors (its aliquot sum) s(n): 81936479305656
• 34142772472704 is an abundant number, because the sum of its proper divisors (81936479305656) is greater than itself. Its abundance is 47793706832952

Bases of 34142772472704

• Binary: 111110000110101111011110100110010101110000000₂
• Hexadecimal: 0x1F0D7BD32B80
• Base-36: C3OZ16U80

Squares and roots of 34142772472704

• 34142772472704 squared (34142772472704²) is 1165728912122834014425071616
• 34142772472704 cubed (34142772472704³) is 39801217011462677424472061223548605169664
• The square root of 34142772472704 is 5843181.7079998463
• The cube root of 34142772472704 is 32441.4005108215

Scales and comparisons

• 34,142,772,472,704 seconds is equal to 1,085,634 years, 28 weeks, 5 days, 16 hours, 38 minutes, 24 seconds.
• To count from 1 to 34,142,772,472,704 would take you about two million, seven hundred fourteen thousand and eighty-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 34142772472704 cubic inches would be around 2703.5 feet tall.

Recreational maths with 34142772472704

• 34142772472704 backwards is 40727427724143
• The number of decimal digits it has is: 14
• The sum of 34142772472704's digits is 54
• More coming soon!