90099849312

Names of 90099849312

• Cardinal: 90099849312 can be written as Ninety billion, ninety-nine million, eight hundred forty-nine thousand, three hundred twelve.

Scientific notation

• Scientific notation: 9.0099849312 × 10¹⁰

Factors of 90099849312

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 12
• Sum of prime factors: 18053

Divisors of 90099849312

• Number of divisors d(n): 384
• Complete list of divisors:
  1 2 3 4 6 8 9 11 12 16 17 18 22 24 27 31 32 33 34 36 44 48 51 54 62 66 68 72 88 93 96 99 102 108 124 132 136 144 153 176 186 187 198 204 216 248 264 272 279 288 297 306 341 352 372 374 396 408 432 459 496 527 528 544 558 561 594 612 682 744 748 792 816 837 864 918 992 1023 1054 1056 1116 1122 1188 1224 1364 1488 1496 1581 1584 1632 1674 1683 1836 2046 2108 2232 2244 2376 2448 2728 2976 2992 3069 3162 3168 3348 3366 3672 4092 4216 4464 4488 4743 4752 4896 5049 5456 5797 5984 6138 6324 6696 6732 7344 8184 8432 8928 8976 9207 9486 9504 10098 10912 11594 12276 12648 13392 13464 14229 14688 16368 16864 17391 17952 17989 18414 18972 20196 23188 24552 25296 26784 26928 28458 32736 34782 35978 36828 37944 40392 46376 49104 50592 52173 53856 53967 56916 69564 71956 73656 75888 80784 92752 98208 104346 107934 113832 139128 143912 147312 151776 156519 161568 161901 185504 197879 208692 215868 227664 278256 287824 294624 305813 313038 323802 395758 417384 431736 455328 485703 556512 557659 575648 593637 611626 626076 647604 791516 834768 863472 917439 971406 1115318 1187274 1223252 1252152 1295208 1583032 1669536 1672977 1726944 1780911 1834878 1942812 2230636 2374548 2446504 2504304 2590416 2752317 3166064 3345954 3363943 3561822 3669756 3885624 4461272 4749096 4893008 5008608 5018931 5180832 5342733 5504634 6134249 6332128 6691908 6727886 7123644 7339512 7771248 8256951 8922544 9480203 9498192 9786016 10037862 10091829 10685466 11009268 12268498 13383816 13455772 14247288 14679024 15056793 15542496 16513902 17845088 18402747 18960406 18996384 20075724 20183658 21370932 22018536 24536996 26767632 26911544 28440609 28494576 29358048 30113586 30275487 33027804 36805494 37920812 40151448 40367316 42741864 44037072 49073992 53535264 53823088 55208241 56881218 56989152 60227172 60550974 66055608 73610988 75841624 80302896 80734632 85321827 85483728 88074144 90826461 98147984 104282233 107646176 110416482 113762436 120454344 121101948 132111216 147221976 151683248 160605792 161469264 165624723 170643654 170967456 181652922 196295968 208564466 220832964 227524872 240908688 242203896 255965481 264222432 294443952 303366496 312846699 322938528 331249446 341287308 363305844 417128932 441665928 455049744 481817376 484407792 511930962 588887904 625693398 662498892 682574616 726611688 834257864 883331856 910099488 938540097 968815584 1023861924 1251386796 1324997784 1365149232 1453223376 1668515728 1766663712 1877080194 2047723848 2502773592 2649995568 2730298464 2815620291 2906446752 3337031456 3754160388 4095447696 5005547184 5299991136 5631240582 7508320776 8190895392 10011094368 11262481164 15016641552 22524962328 30033283104 45049924656 90099849312
• Sum of all divisors σ(n): 313354137600
• Sum of proper divisors (its aliquot sum) s(n): 223254288288
• 90099849312 is an abundant number, because the sum of its proper divisors (223254288288) is greater than itself. Its abundance is 133154438976

Bases of 90099849312

• Binary: 1010011111010010111101001100001100000₂
• Hexadecimal: 0x14FA5E9860
• Base-36: 15E34GO0

Squares and roots of 90099849312

• 90099849312 squared (90099849312²) is 8117982846045106873344
• 90099849312 cubed (90099849312³) is 731429031146065024443229869539328
• The square root of 90099849312 is 300166.3693887109
• The cube root of 90099849312 is 4483.0614124999

Scales and comparisons

• 90,099,849,312 seconds is equal to 2,864 years, 46 weeks, 4 days, 7 hours, 55 minutes, 12 seconds.
• To count from 1 to 90,099,849,312 would take you about five thousand, seven hundred twenty-nine 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 90099849312 cubic inches would be around 373.6 feet tall.

Recreational maths with 90099849312

• 90099849312 backwards is 21394899009
• 90099849312 is a Harshad number.
• The number of decimal digits it has is: 11
• The sum of 90099849312's digits is 54
• More coming soon!