90830829505307472
90,830,829,505,307,472 is an even composite number composed of six prime numbers multiplied together.
90830829505307472 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two hundred forty divisors.
Prime factorization of 90830829505307472:
24 × 32 × 7 × 71 × 307 × 4134052847
(2 × 2 × 2 × 2 × 3 × 3 × 7 × 71 × 307 × 4134052847)See below for interesting mathematical facts about the number 90830829505307472 from the Numbermatics database.
Names of 90830829505307472
- Cardinal: 90830829505307472 can be written as Ninety quadrillion, eight hundred thirty trillion, eight hundred twenty-nine billion, five hundred five million, three hundred seven thousand, four hundred seventy-two.
Scientific notation
- Scientific notation: 9.0830829505307472 × 1016
Factors of 90830829505307472
- Number of distinct prime factors ω(n): 6
- Total number of prime factors Ω(n): 10
- Sum of prime factors: 4134053237
Divisors of 90830829505307472
- Number of divisors d(n): 240
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 71 72 84 112 126 142 144 168 213 252 284 307 336 426 497 504 568 614 639 852 921 994 1008 1136 1228 1278 1491 1704 1842 1988 2149 2456 2556 2763 2982 3408 3684 3976 4298 4473 4912 5112 5526 5964 6447 7368 7952 8596 8946 10224 11052 11928 12894 14736 17192 17892 19341 21797 22104 23856 25788 34384 35784 38682 43594 44208 51576 65391 71568 77364 87188 103152 130782 152579 154728 174376 196173 261564 305158 309456 348752 392346 457737 523128 610316 784692 915474 1046256 1220632 1373211 1569384 1830948 2441264 2746422 3138768 3661896 5492844 7323792 10985688 21971376 4134052847 8268105694 12402158541 16536211388 24804317082 28938369929 33072422776 37206475623 49608634164 57876739858 66144845552 74412951246 86815109787 99217268328 115753479716 148825902492 173630219574 198434536656 231506959432 260445329361 293517752137 297651804984 347260439148 463013918864 520890658722 587035504274 595303609968 694520878296 880553256411 1041781317444 1174071008548 1269154224029 1389041756592 1761106512822 2054624264959 2083562634888 2348142017096 2538308448058 2641659769233 3522213025644 3807462672087 4109248529918 4167125269776 4696284034192 5076616896116 5283319538466 6163872794877 7044426051288 7614925344174 8218497059836 8884079568203 10153233792232 10566639076932 11422388016261 12327745589754 14088852102576 15229850688348 16436994119672 17768159136406 18491618384631 20306467584464 21133278153864 22844776032522 24655491179508 26652238704609 30459701376696 32873988239344 35536318272812 36983236769262 42266556307728 45689552065044 49310982359016 53304477409218 60919402753392 71072636545624 73966473538524 79956716113827 90109949906059 91379104130088 98621964718032 106608954818436 142145273091248 147932947077048 159913432227654 180219899812118 182758208260176 213217909636872 270329849718177 295865894154096 319826864455308 360439799624236 426435819273744 540659699436354 630769649342413 639653728910616 720879599248472 810989549154531 1081319398872708 1261539298684826 1279307457821232 1441759198496944 1621979098309062 1892308948027239 2162638797745416 2523078597369652 3243958196618124 3784617896054478 4325277595490832 5046157194739304 5676926844081717 6487916393236248 7569235792108956 10092314389478608 11353853688163434 12975832786472496 15138471584217912 22707707376326868 30276943168435824 45415414752653736 90830829505307472
- Sum of all divisors σ(n): 295565861206167552
- Sum of proper divisors (its aliquot sum) s(n): 204735031700860080
- 90830829505307472 is an abundant number, because the sum of its proper divisors (204735031700860080) is greater than itself. Its abundance is 113904202195552608
Bases of 90830829505307472
- Binary: 1010000101011001000101000011111110101000101100011010100002
- Hexadecimal: 0x142B2287F516350
- Base-36: OUCUB0WXTG0
Squares and roots of 90830829505307472
- 90830829505307472 squared (908308295053074722) is 8250239588622234418644217259030784
- 90830829505307472 cubed (908308295053074723) is 749376105452084229998808546770372937819550633218048
-
The
square root of 90830829505307472 is 301381534.7782731563 -
The
cube root of 90830829505307472 is 449515.2467300055
Scales and comparisons
How big is 90830829505307472?- 90,830,829,505,307,472 seconds is equal to 2,888,139,420 years, 3 weeks, 3 days, 31 minutes, 12 seconds.
-
To count from 1 to 90,830,829,505,307,472 would take you about eight billion, six hundred sixty-four million, four hundred eighteen thousand, two hundred sixty 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 90830829505307472 cubic inches would be around 37459.6 feet tall.
Recreational maths with 90830829505307472
- 90830829505307472 backwards is 27470350592803809
- 90830829505307472 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 90830829505307472's digits is 72
- More coming soon!
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