90042848640

Names of 90042848640

• Cardinal: 90042848640 can be written as Ninety billion, forty-two million, eight hundred forty-eight thousand, six hundred forty.

Scientific notation

• Scientific notation: 9.004284864 × 10¹⁰

Factors of 90042848640

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 14
• Sum of prime factors: 1865

Divisors of 90042848640

• Number of divisors d(n): 512
• Complete list of divisors:
  1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 41 45 48 54 60 64 72 73 80 82 90 96 108 120 123 128 135 144 146 160 164 180 192 205 216 219 240 246 270 288 292 320 328 360 365 369 384 410 432 438 480 492 540 576 584 615 640 656 657 720 730 738 820 864 876 960 984 1080 1095 1107 1152 1168 1230 1312 1314 1440 1460 1476 1640 1728 1741 1752 1845 1920 1968 1971 2160 2190 2214 2336 2460 2624 2628 2880 2920 2952 2993 3280 3285 3456 3482 3504 3690 3936 3942 4320 4380 4428 4672 4920 5223 5248 5256 5535 5760 5840 5904 5986 6560 6570 6964 7008 7380 7872 7884 8640 8705 8760 8856 8979 9344 9840 9855 10446 10512 11070 11680 11808 11972 13120 13140 13928 14016 14760 14965 15669 15744 15768 17280 17410 17520 17712 17958 19680 19710 20892 21024 22140 23360 23616 23944 26115 26240 26280 26937 27856 28032 29520 29930 31338 31536 34820 35040 35424 35916 39360 39420 41784 42048 44280 44895 46720 47007 47232 47888 52230 52560 53874 55712 59040 59860 62676 63072 69640 70080 70848 71381 71832 78345 78720 78840 80811 83568 84096 88560 89790 94014 95776 104460 105120 107748 111424 118080 119720 125352 126144 127093 134685 139280 140160 141696 142762 143664 156690 157680 161622 167136 177120 179580 188028 191552 208920 210240 214143 215496 222848 235035 236160 239440 250704 252288 254186 269370 278560 285524 287328 313380 315360 323244 334272 354240 356905 359160 376056 381279 383104 404055 417840 420480 428286 430992 470070 478880 501408 508372 538740 557120 571048 574656 626760 630720 635465 642429 646488 668544 708480 713810 718320 752112 762558 808110 835680 856572 861984 940140 957760 1002816 1016744 1070715 1077480 1114240 1142096 1143837 1149312 1253520 1261440 1270930 1284858 1292976 1427620 1436640 1504224 1525116 1616220 1671360 1713144 1723968 1880280 1906395 1915520 1927287 2005632 2033488 2141430 2154960 2284192 2287674 2507040 2541860 2569716 2585952 2855240 2873280 3008448 3050232 3212145 3232440 3342720 3426288 3431511 3447936 3760560 3812790 3854574 4066976 4282860 4309920 4568384 4575348 5014080 5083720 5139432 5171904 5210813 5710480 5719185 5746560 6016896 6100464 6424290 6464880 6852576 6863022 7521120 7625580 7709148 8133952 8565720 8619840 9136768 9150696 9636435 10028160 10167440 10278864 10343808 10421626 11420960 11438370 12200928 12848580 12929760 13705152 13726044 15042240 15251160 15418296 15632439 16267904 17131440 17157555 17239680 18301392 19272870 20334880 20557728 20843252 22841920 22876740 24401856 25697160 25859520 26054065 27410304 27452088 30084480 30502320 30836592 31264878 34262880 34315110 36602784 38545740 40669760 41115456 41686504 45683840 45753480 46897317 48803712 51394320 51719040 52108130 54904176 61004640 61673184 62529756 68525760 68630220 73205568 77091480 78162195 81339520 82230912 83373008 91506960 93794634 102788640 104216260 109808352 122009280 123346368 125059512 137051520 137260440 140691951 146411136 154182960 156324390 166746016 183013920 187589268 205577280 208432520 219616704 234486585 244018560 246692736 250119024 274520880 281383902 308365920 312648780 333492032 366027840 375178536 411154560 416865040 439233408 468973170 500238048 549041760 562767804 616731840 625297560 666984064 703459755 732055680 750357072 833730080 937946340 1000476096 1098083520 1125535608 1233463680 1250595120 1406919510 1500714144 1667460160 1875892680 2000952192 2196167040 2251071216 2501190240 2813839020 3001428288 3334920320 3751785360 4502142432 5002380480 5627678040 6002856576 7503570720 9004284864 10004760960 11255356080 15007141440 18008569728 22510712160 30014282880 45021424320 90042848640
• Sum of all divisors σ(n): 331345123200
• Sum of proper divisors (its aliquot sum) s(n): 241302274560
• 90042848640 is an abundant number, because the sum of its proper divisors (241302274560) is greater than itself. Its abundance is 151259425920

Bases of 90042848640

• Binary: 1010011110110111110001101010110000000₂
• Hexadecimal: 0x14F6F8D580
• Base-36: 15D56QO0

Squares and roots of 90042848640

• 90042848640 squared (90042848640²) is 8107714591205949849600
• 90042848640 cubed (90042848640³) is 730041717752276817374963564544000
• The square root of 90042848640 is 300071.4059019953
• The cube root of 90042848640 is 4482.1158266797

Scales and comparisons

• 90,042,848,640 seconds is equal to 2,863 years, 4 weeks, 2 days, 14 hours, 24 minutes.
• To count from 1 to 90,042,848,640 would take you about five thousand, seven hundred twenty-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 90042848640 cubic inches would be around 373.5 feet tall.

Recreational maths with 90042848640

• 90042848640 backwards is 04684824009
• 90042848640 is a Harshad number.
• The number of decimal digits it has is: 11
• The sum of 90042848640's digits is 45
• More coming soon!