90441404064

Names of 90441404064

• Cardinal: 90441404064 can be written as Ninety billion, four hundred forty-one million, four hundred four thousand and sixty-four.

Scientific notation

• Scientific notation: 9.0441404064 × 10¹⁰

Factors of 90441404064

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 15
• Sum of prime factors: 111

Divisors of 90441404064

• Number of divisors d(n): 864
• Complete list of divisors:
  1 2 3 4 6 8 9 11 12 16 17 18 22 24 27 32 33 34 36 37 41 44 48 51 54 66 68 72 74 81 82 88 96 99 102 108 111 123 132 136 144 148 153 162 164 176 187 198 204 216 222 243 246 264 272 288 296 297 306 324 328 333 352 369 374 396 407 408 432 444 451 459 486 492 528 544 561 592 594 612 629 648 656 666 697 738 748 792 814 816 864 888 891 902 918 972 984 999 1056 1107 1122 1184 1188 1221 1224 1258 1296 1312 1332 1353 1377 1394 1476 1496 1517 1584 1628 1632 1681 1683 1776 1782 1804 1836 1887 1944 1968 1998 2091 2214 2244 2376 2442 2448 2516 2592 2664 2673 2706 2754 2788 2952 2992 2997 3034 3168 3256 3321 3362 3366 3552 3564 3608 3663 3672 3774 3888 3936 3996 4059 4131 4182 4428 4488 4551 4752 4884 4896 5032 5043 5049 5328 5346 5412 5508 5576 5661 5904 5984 5994 6068 6273 6512 6642 6724 6732 6919 7128 7216 7326 7344 7548 7667 7776 7992 8118 8262 8364 8856 8976 8991 9102 9504 9768 9963 10064 10086 10098 10656 10692 10824 10989 11016 11152 11322 11808 11988 12136 12177 12546 13024 13284 13448 13464 13653 13838 14256 14432 14652 14688 15096 15129 15147 15334 15984 16236 16524 16687 16728 16983 17712 17952 17982 18204 18491 18819 19536 19926 20128 20172 20196 20757 21384 21648 21978 22032 22304 22644 23001 23976 24272 24354 25092 25789 26568 26896 26928 27306 27676 28512 28577 29304 30192 30258 30294 30668 31968 32472 32967 33048 33374 33456 33966 35424 35964 36408 36531 36982 37638 39072 39852 40344 40392 40959 41514 42768 43296 43956 44064 45288 45387 45441 46002 47952 48544 48708 50061 50184 50949 51578 53136 53792 53856 54612 55352 55473 56457 57154 58608 60384 60516 60588 61336 62197 62271 64944 65934 66096 66748 66912 67932 69003 71928 72816 73062 73964 75276 77367 79704 80688 80784 81918 83028 85536 85731 87912 90576 90774 90882 92004 95904 97416 98901 100122 100368 101898 103156 106272 109224 109593 110704 110946 112914 114308 117216 121032 121176 122672 122877 124394 124542 129888 131868 132192 133496 135864 136161 138006 143856 145632 146124 147928 150183 150552 152847 154734 159408 161376 161568 163836 166056 166419 169371 171462 175824 181152 181548 181764 184008 186591 186813 194832 197802 200244 200736 203796 206312 207009 218448 219186 221408 221892 225828 228616 232101 242064 242352 245344 245754 248788 249084 257193 263736 266992 271728 272322 276012 283679 287712 292248 295856 300366 301104 305694 309468 314347 318816 327672 332112 332838 338742 342924 351648 363096 363528 368016 368631 373182 373626 389664 395604 400488 407592 408483 412624 414018 436896 438372 443784 450549 451656 457232 464202 484128 484704 491508 497576 498168 499257 514386 527472 533984 543456 544644 552024 559773 560439 567358 584496 591712 600732 602208 611388 618936 621027 628694 655344 664224 665676 677484 684167 685848 696303 726192 727056 736032 737262 746364 747252 771579 791208 800976 815184 816966 825248 828036 851037 876744 887568 901098 903312 914464 928404 943041 983016 995152 996336 998514 1028772 1054944 1057349 1089288 1104048 1119546 1120878 1134716 1168992 1201464 1222776 1237872 1242054 1257388 1310688 1331352 1351647 1354968 1368334 1371696 1392606 1452384 1454112 1474524 1492728 1494504 1497771 1543158 1582416 1601952 1630368 1633932 1656072 1679319 1681317 1702074 1753488 1775136 1802196 1806624 1856808 1863081 1886082 1966032 1990304 1992672 1997028 2052501 2057544 2088909 2114698 2178576 2208096 2239092 2241756 2269432 2314737 2402928 2445552 2475744 2484108 2514776 2553111 2662704 2703294 2709936 2736668 2743392 2785212 2829123 2949048 2985456 2989008 2995542 3086316 3164832 3172047 3267864 3312144 3358638 3362634 3404148 3506976 3604392 3713616 3726162 3772164 3932064 3994056 4054941 4105002 4115088 4177818 4229396 4357152 4478184 4483512 4493313 4538864 4629474 4805856 4891104 4968216 5029552 5037957 5106222 5325408 5406588 5419872 5473336 5570424 5658246 5898096 5970912 5978016 5991084 6157503 6172632 6266727 6344094 6535728 6624288 6717276 6725268 6808296 6944211 7208784 7427232 7452324 7544328 7659333 7988112 8109882 8210004 8230176 8355636 8458792 8487369 8956368 8967024 8986626 9077728 9258948 9516141 9936432 10059104 10075914 10212444 10813176 10946672 11140848 11316492 11630839 11796192 11982168 12315006 12345264 12533454 12688188 13071456 13434552 13450536 13616592 13888422 14417568 14904648 15088656 15113871 15318666 15976224 16219764 16420008 16711272 16917584 16974738 17912736 17934048 17973252 18472509 18517896 19032282 19872864 20151828 20424888 21626352 21893344 22281696 22632984 22977999 23261678 23964336 24630012 24690528 25066908 25376376 25462107 26869104 26901072 27233184 27776844 28548423 29809296 30177312 30227742 30637332 32439528 32840016 33422544 33835168 33949476 34892517 35946504 36945018 37035792 38064564 40303656 40849776 43252704 45265968 45955998 46523356 47928672 49260024 50133816 50752752 50924214 53738208 53802144 55417527 55553688 57096846 59618592 60455484 61274664 64879056 65680032 66845088 67898952 68933997 69785034 71893008 73890036 74071584 76129128 76386321 80607312 81699552 85645269 90531936 91911996 93046712 98520048 100267632 101505504 101848428 104677551 110835054 111107376 114193692 120910968 122549328 129758112 135797904 137867994 139570068 143786016 147780072 152258256 152772642 161214624 166252581 171290538 183823992 186093424 197040096 200535264 203696856 209355102 221670108 222214752 228387384 241821936 245098656 256935807 271595808 275735988 279140136 295560144 304516512 305545284 314032653 332505162 342581076 367647984 372186848 407393712 418710204 443340216 456774768 483643872 513871614 551471976 558280272 591120288 611090568 628065306 665010324 685162152 735295968 814787424 837420408 886680432 913549536 942097959 1027743228 1102943952 1116560544 1222181136 1256130612 1330020648 1370324304 1674840816 1773360864 1884195918 2055486456 2205887904 2444362272 2512261224 2660041296 2740648608 2826293877 3349681632 3768391836 4110972912 5024522448 5320082592 5652587754 7536783672 8221945824 10049044896 11305175508 15073567344 22610351016 30147134688 45220702032 90441404064
• Sum of all divisors σ(n): 324313149888
• Sum of proper divisors (its aliquot sum) s(n): 233871745824
• 90441404064 is an abundant number, because the sum of its proper divisors (233871745824) is greater than itself. Its abundance is 143430341760

Bases of 90441404064

• Binary: 1010100001110101110100100111010100000₂
• Hexadecimal: 0x150EBA4EA0
• Base-36: 15JQH600

Squares and roots of 90441404064

• 90441404064 squared (90441404064²) is 8179647569067715716096
• 90441404064 cubed (90441404064³) is 739778810895168624856921444614144
• The square root of 90441404064 is 300734.7736195467
• The cube root of 90441404064 is 4488.7191360997

Scales and comparisons

• 90,441,404,064 seconds is equal to 2,875 years, 39 weeks, 2 days, 12 hours, 14 minutes, 24 seconds.
• To count from 1 to 90,441,404,064 would take you about five thousand, seven hundred fifty-one 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 90441404064 cubic inches would be around 374.1 feet tall.

Recreational maths with 90441404064

• 90441404064 backwards is 46040414409
• 90441404064 is a Harshad number.
• The number of decimal digits it has is: 11
• The sum of 90441404064's digits is 36
• More coming soon!