990400131072

Names of 990400131072

• Cardinal: 990400131072 can be written as Nine hundred ninety billion, four hundred million, one hundred thirty-one thousand and seventy-two.

Scientific notation

• Scientific notation: 9.90400131072 × 10¹¹

Factors of 990400131072

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 23
• Sum of prime factors: 58

Divisors of 990400131072

• Number of divisors d(n): 1248
• Complete list of divisors:
  1 2 3 4 6 8 9 11 12 16 18 19 22 23 24 27 32 33 36 38 44 46 48 54 57 64 66 69 72 76 81 88 92 96 99 108 114 128 132 138 144 152 162 171 176 184 192 198 207 209 216 228 243 253 256 264 276 288 297 304 324 342 352 368 384 396 414 418 432 437 456 486 506 512 513 528 529 552 576 594 608 621 627 648 684 704 729 736 759 768 792 828 836 864 874 891 912 972 1012 1024 1026 1056 1058 1104 1152 1188 1216 1242 1254 1296 1311 1368 1408 1458 1472 1518 1536 1539 1584 1587 1656 1672 1728 1748 1782 1824 1863 1881 1944 2024 2048 2052 2112 2116 2187 2208 2277 2304 2376 2432 2484 2508 2592 2622 2673 2736 2816 2916 2944 3036 3072 3078 3168 3174 3312 3344 3456 3496 3564 3648 3726 3762 3888 3933 4048 4096 4104 4224 4232 4374 4416 4554 4608 4617 4752 4761 4807 4864 4968 5016 5184 5244 5346 5472 5589 5632 5643 5819 5832 5888 6072 6144 6156 6336 6348 6624 6688 6831 6912 6992 7128 7296 7452 7524 7776 7866 8019 8096 8208 8448 8464 8748 8832 9108 9216 9234 9504 9522 9614 9728 9936 10032 10051 10368 10488 10692 10944 11178 11264 11286 11638 11664 11776 11799 12144 12288 12312 12672 12696 13248 13376 13662 13824 13851 13984 14256 14283 14421 14592 14904 15048 15552 15732 16038 16192 16416 16767 16896 16928 16929 17457 17496 17664 18216 18432 18468 19008 19044 19228 19456 19872 20064 20102 20493 20736 20976 21384 21888 22356 22528 22572 23276 23328 23552 23598 24057 24288 24624 25344 25392 26496 26752 27324 27648 27702 27968 28512 28566 28842 29184 29808 30096 30153 31104 31464 32076 32384 32832 33534 33792 33856 33858 34914 34992 35328 35397 36432 36864 36936 38016 38088 38456 38912 39744 40128 40204 40986 41472 41553 41952 42768 42849 43263 43776 44712 45056 45144 46552 46656 47104 47196 48114 48576 49248 50301 50688 50784 50787 52371 52992 53504 54648 55296 55404 55936 57024 57132 57684 58368 59616 60192 60306 61479 62208 62928 64152 64768 65664 67068 67584 67712 67716 69828 69984 70656 70794 72864 73872 76032 76176 76912 77824 79488 80256 80408 81972 82944 83106 83904 85536 85698 86526 87552 89424 90288 90459 93104 93312 94208 94392 96228 97152 98496 100602 101376 101568 101574 104742 105984 106191 107008 109296 110561 110592 110808 111872 114048 114264 115368 116736 119232 120384 120612 122958 124416 125856 128304 128547 129536 129789 131328 134136 135168 135424 135432 139656 139968 141312 141588 145728 147744 152064 152352 152361 153824 157113 158976 160512 160816 163944 165888 166212 167808 171072 171396 173052 175104 178848 180576 180918 184437 186208 186624 188784 192456 194304 196992 201204 202752 203136 203148 209484 211968 212382 214016 218592 221122 221616 223744 228096 228528 230736 233472 238464 240768 241224 245916 248832 251712 256608 257094 259072 259578 262656 268272 270848 270864 271377 279312 279936 282624 283176 291456 295488 304128 304704 304722 307648 314226 317952 318573 321024 321632 327888 331683 331776 332424 335616 342144 342792 346104 350208 357696 361152 361836 368874 372416 373248 377568 384912 385641 388608 389367 393984 402408 405504 406272 406296 418968 423936 424764 428032 437184 442244 443232 447488 456192 457056 457083 461472 471339 476928 481536 482448 491832 497664 503424 513216 514188 518144 519156 525312 536544 541696 541728 542754 553311 558624 559872 566352 582912 590976 608256 609408 609444 615296 628452 635904 637146 642048 643264 655776 663366 664848 671232 684288 685584 692208 700416 715392 722304 723672 737748 744832 746496 755136 769824 771282 777216 778734 787968 804816 812544 812592 814131 837936 847872 849528 856064 874368 884488 886464 894976 912384 914112 914166 922944 942678 953856 955719 963072 964896 983664 995049 995328 1006848 1026432 1028376 1036288 1038312 1050624 1073088 1083392 1083456 1085508 1106622 1117248 1119744 1132704 1156923 1165824 1168101 1181952 1216512 1218816 1218888 1230592 1256904 1271808 1274292 1284096 1286528 1311552 1326732 1329696 1342464 1368576 1371168 1384416 1414017 1430784 1444608 1447344 1475496 1489664 1492992 1510272 1539648 1542564 1554432 1557468 1575936 1609632 1625088 1625184 1628262 1675872 1699056 1748736 1768976 1772928 1789952 1824768 1828224 1828332 1845888 1885356 1907712 1911438 1926144 1929792 1967328 1990098 2013696 2052864 2056752 2076624 2101248 2146176 2166784 2166912 2171016 2213244 2234496 2239488 2265408 2313846 2331648 2336202 2363904 2437632 2437776 2442393 2461184 2513808 2543616 2548584 2568192 2573056 2623104 2653464 2659392 2684928 2737152 2742336 2768832 2828034 2861568 2889216 2894688 2950992 2979328 2985147 2985984 3020544 3079296 3085128 3108864 3114936 3151872 3219264 3250176 3250368 3256524 3351744 3398112 3497472 3504303 3537952 3545856 3649536 3656448 3656664 3691776 3770712 3815424 3822876 3852288 3859584 3934656 3980196 4027392 4105728 4113504 4153248 4242051 4292352 4333824 4342032 4426488 4468992 4478976 4530816 4627692 4663296 4672404 4727808 4875264 4875552 4884786 4922368 5027616 5097168 5146112 5246208 5306928 5318784 5369856 5474304 5484672 5537664 5656068 5723136 5778432 5789376 5901984 5958656 5970294 6041088 6158592 6170256 6229872 6303744 6438528 6500352 6500736 6513048 6703488 6796224 6994944 7008606 7075904 7091712 7312896 7313328 7327179 7383552 7541424 7630848 7645752 7704576 7719168 7869312 7960392 8054784 8211456 8227008 8306496 8484102 8584704 8667648 8684064 8852976 8937984 8955441 8957952 9061632 9255384 9326592 9344808 9455616 9750528 9751104 9769572 9844736 10055232 10194336 10292224 10492416 10512909 10613856 10637568 10948608 10969344 11075328 11312136 11446272 11556864 11578752 11803968 11917312 11940588 12082176 12317184 12340512 12459744 12726153 12877056 13001472 13026096 13406976 13592448 13989888 14017212 14151808 14183424 14625792 14626656 14654358 14767104 15082848 15291504 15438336 15738624 15920784 16109568 16422912 16454016 16612992 16968204 17169408 17335296 17368128 17705952 17875968 17910882 18123264 18510768 18689616 18911232 19501056 19502208 19539144 19689472 20110464 20388672 20584448 20984832 21025818 21227712 21275136 21938688 21981537 22150656 22624272 22892544 23113728 23157504 23607936 23834624 23881176 24164352 24634368 24681024 24919488 25452306 25754112 26002944 26052192 26813952 26866323 27184896 27979776 28034424 28303616 28366848 29251584 29253312 29308716 29534208 30165696 30583008 30876672 31477248 31841568 32845824 32908032 33225984 33936408 34338816 34670592 34736256 35411904 35751936 35821764 36246528 37021536 37379232 39004416 39078288 40220928 40777344 41168896 41969664 42051636 42455424 42550272 43877376 43963074 44301312 45248544 46315008 47215872 47762352 48328704 49268736 49362048 49838976 50904612 51508224 52005888 52104384 53627904 53732646 54369792 56068848 56607232 56733696 58503168 58506624 58617432 59068416 60331392 61166016 61753344 62954496 63683136 65816064 66451968 67872816 68677632 69341184 69472512 70823808 71503872 71643528 72493056 74043072 74758464 78008832 78156576 80441856 80598969 81554688 83939328 84103272 84910848 85100544 87754752 87926148 88602624 90497088 92630016 94431744 95524704 98537472 98724096 99677952 101809224 103016448 104011776 104208768 107255808 107465292 108739584 112137696 113214464 117013248 117234864 120662784 122332032 123506688 125908992 127366272 131632128 132903936 135745632 138945024 141647616 143287056 144986112 148086144 149516928 156017664 156313152 160883712 161197938 163109376 168206544 169821696 170201088 175509504 175852296 177205248 180994176 185260032 188863488 191049408 197448192 199355904 203618448 206032896 208023552 208417536 214511616 214930584 217479168 224275392 226428928 234026496 234469728 241325568 241796907 244664064 251817984 254732544 263264256 265807872 271491264 277890048 283295232 286574112 296172288 299033856 312035328 312626304 321767424 322395876 326218752 336413088 339643392 351704592 361988352 370520064 377726976 382098816 394896384 398711808 407236896 416835072 429861168 434958336 448550784 452857856 468052992 468939456 482651136 483593814 489328128 509465088 526528512 531615744 542982528 555780096 566590464 573148224 592344576 598067712 624070656 625252608 643534848 644791752 652437504 672826176 679286784 703409184 723976704 755453952 764197632 789792768 797423616 814473792 833670144 859722336 897101568 936105984 937878912 965302272 967187628 978656256 1018930176 1085965056 1111560192 1133180928 1146296448 1184689152 1196135424 1250505216 1289583504 1304875008 1345652352 1358573568 1406818368 1447953408 1528395264 1579585536 1594847232 1628947584 1667340288 1719444672 1794203136 1872211968 1875757824 1930604544 1934375256 1957312512 2037860352 2171930112 2266361856 2292592896 2369378304 2392270848 2501010432 2579167008 2691304704 2813636736 2895906816 3056790528 3257895168 3334680576 3438889344 3588406272 3751515648 3868750512 3914625024 4075720704 4343860224 4585185792 4738756608 4784541696 5002020864 5158334016 5382609408 5627273472 5791813632 6113581056 6515790336 6877778688 7176812544 7503031296 7737501024 8687720448 9170371584 10004041728 10316668032 10765218816 11254546944 12227162112 13031580672 13755557376 14353625088 15006062592 15475002048 17375440896 18340743168 20633336064 21530437632 22509093888 26063161344 27511114752 30012125184 30950004096 36681486336 41266672128 43060875264 45018187776 52126322688 55022229504 61900008192 82533344256 90036375552 110044459008 123800016384 165066688512 247600032768 330133377024 495200065536 990400131072
• Sum of all divisors σ(n): 3565719225600
• Sum of proper divisors (its aliquot sum) s(n): 2575319094528
• 990400131072 is an abundant number, because the sum of its proper divisors (2575319094528) is greater than itself. Its abundance is 1584918963456

Bases of 990400131072

• Binary: 1110011010011000011100101011000000000000₂
• Hexadecimal: 0xE69872B000
• Base-36: CMZEO000

Squares and roots of 990400131072

• 990400131072 squared (990400131072²) is 980892419627434779869184
• 990400131072 cubed (990400131072³) is 971475980966542631389571300613685248
• The square root of 990400131072 is 995188.4902228321
• The cube root of 990400131072 is 9967.8974900721

Scales and comparisons

• 990,400,131,072 seconds is equal to 31,491 years, 34 weeks, 2 days, 11 hours, 31 minutes, 12 seconds.
• To count from 1 to 990,400,131,072 would take you about sixty-two thousand, nine hundred eighty-three 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 990400131072 cubic inches would be around 830.7 feet tall.

Recreational maths with 990400131072

• 990400131072 backwards is 270131004099
• 990400131072 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 990400131072's digits is 36
• More coming soon!