990946123870897152

Names of 990946123870897152

• Cardinal: 990946123870897152 can be written as Nine hundred ninety quadrillion, nine hundred forty-six trillion, one hundred twenty-three billion, eight hundred seventy million, eight hundred ninety-seven thousand, one hundred fifty-two.

Scientific notation

• Scientific notation: 9.90946123870897152 × 10¹⁷

Factors of 990946123870897152

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 18
• Sum of prime factors: 882

Divisors of 990946123870897152

• Number of divisors d(n): 660
• 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 96 112 124 126 128 144 168 186 192 217 224 248 252 256 279 288 336 372 384 434 448 496 504 512 558 576 651 672 744 768 839 868 896 992 1008 1024 1116 1152 1302 1344 1488 1536 1678 1736 1792 1953 1984 2016 2232 2304 2517 2604 2688 2976 3072 3356 3472 3584 3906 3968 4032 4464 4608 5034 5208 5376 5873 5952 6712 6944 7168 7551 7812 7936 8064 8928 9216 10068 10416 10752 11746 11904 13424 13888 15102 15624 15872 16128 17619 17856 20136 20832 21504 23492 23808 26009 26848 27776 30204 31248 31744 32256 35238 35712 40272 41664 46984 47616 52018 52857 53696 55552 60408 62496 64512 70476 71424 78027 80544 83328 93968 95232 104036 105714 107392 111104 120816 124992 140952 142848 156054 161088 166656 182063 187936 208072 211428 214784 222208 234081 241632 249984 281904 285696 312108 322176 333312 364126 375872 416144 422856 429568 468162 483264 499968 546189 563808 624216 644352 666624 703921 728252 751744 832288 845712 859136 936324 966528 999936 1092378 1127616 1248432 1288704 1407842 1456504 1503488 1638567 1664576 1691424 1872648 1933056 1999872 2111763 2184756 2255232 2496864 2577408 2815684 2913008 3006976 3277134 3329152 3382848 3745296 3866112 4223526 4369512 4510464 4927447 4993728 5631368 5826016 6013952 6335289 6554268 6658304 6765696 7490592 7732224 8447052 8739024 9020928 9854894 9987456 11262736 11652032 12670578 13108536 13316608 13531392 14782341 14981184 16894104 17478048 18041856 19709788 19974912 21821551 22525472 23304064 25341156 26217072 26633216 27062784 29564682 29962368 33788208 34956096 39419576 39949824 43643102 44347023 45050944 46608128 50682312 52434144 54125568 59129364 59924736 65464653 67576416 69912192 78839152 79899648 87286204 88694046 90101888 93216256 101364624 104868288 118258728 119849472 130929306 135152832 139824384 152750857 157678304 174572408 177388092 180203776 186432512 196393959 202729248 209736576 236517456 239698944 261858612 270305664 279648768 305501714 315356608 349144816 354776184 360407552 392787918 405458496 419473152 458252571 473034912 523717224 540611328 559297536 590589719 611003428 630713216 698289632 709552368 720815104 785575836 810916992 838946304 916505142 946069824 1047434448 1081222656 1181179438 1222006856 1261426432 1374757713 1396579264 1419104736 1571151672 1621833984 1677892608 1771769157 1833010284 1892139648 2094868896 2162445312 2362358876 2444013712 2522852864 2749515426 2793158528 2838209472 3142303344 3243667968 3543538314 3666020568 3784279296 4134128033 4189737792 4724717752 4888027424 5045705728 5315307471 5499030852 5586317056 5676418944 6284606688 6487335936 7087076628 7332041136 7568558592 8268256066 8379475584 9449435504 9776054848 10630614942 10998061704 11172634112 11352837888 12402384099 12569213376 14174153256 14664082272 15137117184 16536512132 16758951168 18308281289 18898871008 19552109696 21261229884 21996123408 22345268224 22705675776 24804768198 25138426752 28348306512 29328164544 33073024264 33517902336 36616562578 37207152297 37797742016 39104219392 42522459768 43992246816 45411351552 49609536396 50276853504 54924843867 56696613024 58656329088 66146048528 67035804672 73233125156 74414304594 75595484032 78208438784 85044919536 87984493632 99219072792 100553707008 109849687734 113393226048 117312658176 128157969023 132292097056 146466250312 148828609188 151190968064 156416877568 164774531601 170089839072 175968987264 198438145584 201107414016 219699375468 226786452096 234625316352 256315938046 264584194112 292932500624 297657218376 302381936128 329549063202 340179678144 351937974528 384473907069 396876291168 439398750936 453572904192 469250632704 495504774241 512631876092 529168388224 585865001248 595314436752 604763872256 659098126404 680359356288 703875949056 768947814138 793752582336 878797501872 907145808384 991009548482 1025263752184 1058336776448 1153421721207 1171730002496 1190628873504 1318196252808 1360718712576 1407751898112 1486514322723 1537895628276 1587505164672 1757595003744 1814291616768 1982019096964 2050527504368 2116673552896 2306843442414 2343460004992 2381257747008 2636392505616 2721437425152 2973028645446 3075791256552 3175010329344 3468533419687 3515190007488 3964038193928 4101055008736 4233347105792 4459542968169 4613686884828 4686920009984 4762515494016 5272785011232 5442874850304 5946057290892 6151582513104 6350020658688 6937066839374 7030380014976 7928076387856 8202110017472 8919085936338 9227373769656 9373840019968 9525030988032 10405600259061 10545570022464 11892114581784 12303165026208 12700041317376 13874133678748 14060760029952 15360648001471 15856152775712 16404220034944 17838171872676 18454747539312 18747680039936 19050061976064 20811200518122 21091140044928 23784229163568 24606330052416 27748267357496 28121520059904 30721296002942 31216800777183 31712305551424 32808440069888 35676343745352 36909495078624 38100123952128 41622401036244 42182280089856 46081944004413 47568458327136 49212660104832 55496534714992 56243040119808 61442592005884 62433601554366 63424611102848 65616880139776 71352687490704 73818990157248 83244802072488 84364560179712 92163888008826 95136916654272 98425320209664 107524536010297 110993069429984 122885184011768 124867203108732 126849222205696 131233760279552 138245832013239 142705374981408 147637980314496 166489604144976 168729120359424 184327776017652 190273833308544 196850640419328 215049072020594 221986138859968 245770368023536 249734406217464 253698444411392 276491664026478 285410749962816 295275960628992 322573608030891 332979208289952 368655552035304 380547666617088 393701280838656 430098144041188 443972277719936 491540736047072 499468812434928 507396888822784 552983328052956 570821499925632 590551921257984 645147216061782 665958416579904 737311104070608 761095333234176 860196288082376 887944555439872 967720824092673 983081472094144 998937624869856 1105966656105912 1141642999851264 1181103842515968 1290294432123564 1331916833159808 1474622208141216 1522190666468352 1720392576164752 1775889110879744 1935441648185346 1966162944188288 1997875249739712 2211933312211824 2283285999702528 2580588864247128 2663833666319616 2949244416282432 3440785152329504 3551778221759488 3870883296370692 3932325888376576 3995750499479424 4423866624423648 4566571999405056 5161177728494256 5327667332639232 5898488832564864 6881570304659008 7741766592741384 7864651776753152 7991500998958848 8847733248847296 10322355456988512 10655334665278464 11796977665129728 13763140609318016 15483533185482768 15729303553506304 15983001997917696 17695466497694592 20644710913977024 23593955330259456 27526281218636032 30967066370965536 31966003995835392 35390932995389184 41289421827954048 47187910660518912 55052562437272064 61934132741931072 70781865990778368 82578843655908096 110105124874544128 123868265483862144 141563731981556736 165157687311816192 247736530967724288 330315374623632384 495473061935448576 990946123870897152
• Sum of all divisors σ(n): 3379612796092039936
• Sum of proper divisors (its aliquot sum) s(n): 2388666672221142784
• 990946123870897152 is an abundant number, because the sum of its proper divisors (2388666672221142784) is greater than itself. Its abundance is 1397720548350245632

Bases of 990946123870897152

• Binary: 110111000000100011000011111111011000111000000000010000000000₂
• Hexadecimal: 0xDC08C3FD8E00400
• Base-36: 7J1930Q20HS0

Squares and roots of 990946123870897152

• 990946123870897152 squared (990946123870897152²) is 981974220414755442370745241361711104
• 990946123870897152 cubed (990946123870897152³) is 973083547461147909507070699085269017974316594320375808
• The square root of 990946123870897152 is 995462768.7015206257
• The cube root of 990946123870897152 is 996972.8871241639

Scales and comparisons

• 990,946,123,870,897,152 seconds is equal to 31,509,021,541 years, 24 weeks, 6 days, 8 hours, 19 minutes, 12 seconds.
• To count from 1 to 990,946,123,870,897,152 would take you about ninety-four billion, five hundred twenty-seven million, sixty-four thousand, six hundred twenty-four 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 990946123870897152 cubic inches would be around 83081.1 feet tall.

Recreational maths with 990946123870897152

• 990946123870897152 backwards is 251798078321649099
• The number of decimal digits it has is: 18
• The sum of 990946123870897152's digits is 90
• More coming soon!