72077332704832

Names of 72077332704832

• Cardinal: 72077332704832 can be written as Seventy-two trillion, seventy-seven billion, three hundred thirty-two million, seven hundred four thousand, eight hundred thirty-two.

Scientific notation

• Scientific notation: 7.2077332704832 × 10¹³

Factors of 72077332704832

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 14
• Sum of prime factors: 4519

Divisors of 72077332704832

• Number of divisors d(n): 672
• Complete list of divisors:
  1 2 4 7 8 13 14 16 26 28 32 49 52 56 61 64 73 91 98 104 112 122 146 169 182 196 208 224 244 292 338 343 364 392 416 427 448 488 511 584 637 676 686 728 784 793 832 854 949 976 1022 1168 1183 1274 1352 1372 1456 1568 1586 1708 1898 1952 2044 2336 2366 2548 2704 2744 2912 2989 3136 3172 3416 3577 3796 3904 4088 4363 4453 4459 4672 4732 5096 5408 5488 5551 5824 5978 6344 6643 6832 7154 7592 8176 8281 8726 8906 8918 9464 10192 10309 10816 10976 11102 11956 12337 12688 13286 13664 14308 15184 16352 16562 17452 17812 17836 18928 20384 20618 20923 21952 22204 23912 24674 25039 25376 26572 27328 28616 30368 30541 31171 32704 33124 34904 35624 35672 37856 38857 40768 41236 41846 44408 46501 47824 49348 50078 50752 53144 56719 57232 57889 57967 60736 61082 62342 66248 69808 71248 71344 72163 75712 77714 82472 83692 86359 88816 93002 95648 98696 100156 106288 113438 114464 115778 115934 122164 124684 132496 139616 142496 142688 144326 155428 164944 167384 172718 177632 186004 191296 197392 200312 212576 213787 218197 226876 228928 231556 231868 244328 249368 264992 266143 271999 279232 284992 285376 288652 310856 318499 325507 329888 334768 345436 355264 372008 394784 397033 400624 405223 425152 427574 436394 453752 463112 463736 488656 498736 505141 529984 532286 543998 577304 604513 621712 636998 651014 659776 669536 690872 737347 744016 752557 789568 794066 801248 810446 855148 872788 907504 926224 927472 977312 997472 1010282 1064572 1087996 1154608 1209026 1243424 1273996 1302028 1339072 1381744 1474694 1488032 1496509 1505114 1527379 1588132 1602496 1620892 1710296 1745576 1815008 1852448 1854944 1863001 1954624 1994944 2020564 2129144 2175992 2229493 2309216 2418052 2486848 2547992 2604056 2763488 2779231 2836561 2949388 2976064 2993018 3010228 3054758 3176264 3241784 3420592 3459859 3491152 3535987 3630016 3704896 3709888 3726002 4041128 4140487 4231591 4258288 4351984 4458986 4618432 4836104 5095984 5161429 5208112 5267899 5526976 5558462 5673122 5898776 5986036 6020456 6109516 6352528 6483568 6841184 6919718 6982304 7071974 7452004 8082256 8280974 8463182 8516576 8703968 8917972 9672208 10191968 10322858 10416224 10535798 11116924 11346244 11797552 11972072 12040912 12219032 12705056 12967136 13041007 13682368 13839436 13964608 14143948 14904008 15606451 16164512 16561948 16926364 17033152 17407936 17835944 19344416 19428439 19454617 19855927 20383936 20645716 20832448 21071596 22233848 22692488 23595104 23944144 24081824 24219013 24438064 25410112 25934272 26082014 27678872 28287896 28983409 29808016 31212902 32329024 33123896 33852728 35671888 36130003 36875293 38688832 38856878 38909234 39711854 41291432 42143192 44467696 44978167 45384976 47190208 47888288 48163648 48438026 48876128 52164028 53826331 55357744 56575792 57966818 59616032 62425804 66247792 67705456 71343776 72260006 73750586 77713756 77818468 79423708 82582864 84286384 88935392 89956334 90769952 91287049 95776576 96876052 97752256 104328056 107652662 109245157 110715488 113151584 115933636 119232064 124851608 132495584 135410912 135999073 142687552 144520012 147501172 155427512 155636936 158847416 165165728 168572768 169533091 177870784 179912668 181539904 182574098 193752104 202883863 208656112 215305324 218490314 221430976 226303168 231867272 249703216 252569707 252910021 258127051 264991168 270821824 271998146 289040024 295002344 310855024 311273872 314847169 317694832 330331456 337145536 339066182 359825336 365148196 376784317 387504208 405767726 417312224 430610648 436980628 463734544 499406432 505139414 505820042 516254102 543996292 578080048 590004688 621710048 622547744 629694338 635389664 678132364 719650672 730296392 753568634 775008416 811535452 834624448 861221296 873961256 927469088 951993511 998812864 1010278828 1011640084 1032508204 1087992584 1156160096 1180009376 1186731637 1243420096 1245095488 1259388676 1270779328 1356264728 1420187041 1439301344 1460592784 1507137268 1550016832 1623070904 1722442592 1747922512 1767987949 1854938176 1903987022 2020557656 2023280168 2065016408 2175985168 2203930183 2312320192 2360018752 2373463274 2518777352 2637490219 2712529456 2840374082 2878602688 2921185568 3014274536 3246141808 3283406191 3444885184 3495845024 3535975898 3807974044 4041115312 4046560336 4130032816 4351970336 4407860366 4746926548 5037554704 5274980438 5425058912 5680748164 5842371136 6028549072 6492283616 6566812382 6663954577 6991690048 7071951796 7615948088 8082230624 8093120672 8260065632 8703940672 8815720732 9493853096 10075109408 10549960876 10850117824 11361496328 12057098144 12375915643 12984567232 13133624764 13327909154 14143903592 15231896176 15427511281 16164461248 16186241344 16520131264 17631441464 18462431533 18987706192 20150218816 21099921752 22722992656 22983843337 24114196288 24751831286 26267249528 26655818308 28287807184 30463792352 30855022562 35262882928 36924863066 37975412384 42199843504 45445985312 45967686674 49503662572 52534499056 53311636616 56575614368 60927584704 61710045124 70525765856 73849726132 75950824768 84399687008 86631409501 90891970624 91935373348 99007325144 105068998112 106623273232 113151228736 123420090248 141051531712 147699452264 160886903359 168799374016 173262819002 183870746696 198014650288 210137996224 213246546464 246840180496 295398904528 321773806718 346525638004 367741493392 396029300576 426493092928 493680360992 590797809056 643547613436 693051276008 735482986784 792058601152 987360721984 1126208323513 1181595618112 1287095226872 1386102552016 1470965973568 2252416647026 2574190453744 2772205104032 4504833294052 5148380907488 5544410208064 9009666588104 10296761814976 18019333176208 36038666352416 72077332704832
• Sum of all divisors σ(n): 186132818284800
• Sum of proper divisors (its aliquot sum) s(n): 114055485579968
• 72077332704832 is an abundant number, because the sum of its proper divisors (114055485579968) is greater than itself. Its abundance is 41978152875136

Bases of 72077332704832

• Binary: 10000011000110111001111110011111110111001000000₂
• Hexadecimal: 0x418DCFCFEE40
• Base-36: PJRVAWSHS

Squares and roots of 72077332704832

• 72077332704832 squared (72077332704832²) is 5195141889843044633236148224
• 72077332704832 cubed (72077332704832³) is 374451970443026804422432924875559193018368
• The square root of 72077332704832 is 8489837.0246331585
• The cube root of 72077332704832 is 41616.5654380569

Scales and comparisons

• 72,077,332,704,832 seconds is equal to 2,291,836 years, 11 weeks, 6 days, 18 hours, 53 minutes, 52 seconds.
• To count from 1 to 72,077,332,704,832 would take you about five million, seven hundred twenty-nine thousand, five hundred ninety 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 72077332704832 cubic inches would be around 3468 feet tall.

Recreational maths with 72077332704832

• 72077332704832 backwards is 23840723377027
• The number of decimal digits it has is: 14
• The sum of 72077332704832's digits is 55
• More coming soon!