72135914639719728
72,135,914,639,719,728 is an even composite number composed of seven prime numbers multiplied together.
72135914639719728 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of three hundred twenty divisors.
Prime factorization of 72135914639719728:
24 × 3 × 7 × 73 × 5591 × 27611 × 19051
(2 × 2 × 2 × 2 × 3 × 7 × 73 × 5591 × 27611 × 19051)See below for interesting mathematical facts about the number 72135914639719728 from the Numbermatics database.
Names of 72135914639719728
- Cardinal: 72135914639719728 can be written as Seventy-two quadrillion, one hundred thirty-five trillion, nine hundred fourteen billion, six hundred thirty-nine million, seven hundred nineteen thousand, seven hundred twenty-eight.
Scientific notation
- Scientific notation: 7.2135914639719728 × 1016
Factors of 72135914639719728
Divisors of 72135914639719728
- Number of divisors d(n): 320
-
Complete list of divisors:
1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 73 84 112 146 168 219 292 336 438 511 584 876 1022 1168 1533 1752 2044 3066 3504 4088 5591 6132 8176 11182 12264 16773 19051 22364 24528 27611 33546 38102 39137 44728 55222 57153 67092 76204 78274 82833 89456 110444 114306 117411 133357 134184 152408 156548 165666 193277 220888 228612 234822 266714 268368 304816 313096 331332 386554 400071 408143 441776 457224 469644 533428 579831 626192 662664 773108 800142 816286 914448 939288 1066856 1159662 1224429 1325328 1390723 1546216 1600284 1632572 1878576 2015603 2133712 2319324 2448858 2781446 2857001 3092432 3200568 3265144 4031206 4172169 4638648 4897716 5562892 5714002 6046809 6401136 6530288 8062412 8344338 8571003 9277296 9735061 9795432 11125784 11428004 12093618 14109221 16124824 16688676 17142006 19470122 19590864 22251568 22856008 24187236 28218442 29205183 32249648 33377352 34284012 38940244 42327663 45712016 48374472 56436884 58410366 66754704 68568024 77880488 84655326 96748944 106514141 112873768 116820732 137136048 154373101 155760976 169310652 213028282 225747536 233641464 308746202 319542423 338621304 426056564 463119303 467282928 526017161 617492404 639084846 677242608 745598987 852113128 926238606 1052034322 1080611707 1234984808 1278169692 1491197974 1578051483 1704226256 1852477212 2104068644 2161223414 2236796961 2469969616 2556339384 2982395948 3156102966 3241835121 3682120127 3704954424 4208137288 4322446828 4473593922 5112678768 5964791896 6312205932 6483670242 7364240254 7409908848 7775532293 8416274576 8644893656 8947187844 11046360381 11269236373 11929583792 12624411864 12967340484 14728480508 15551064586 17289787312 17894375688 22092720762 22538472746 23326596879 25248823728 25934680968 29456961016 31102129172 33807709119 35788751376 38399252753 44185441524 45076945492 46653193758 51869361936 54428726051 58913922032 62204258344 67615418238 76798505506 78884654611 88370883048 90153890984 93306387516 108857452102 115197758259 124408516688 135230836476 153597011012 157769309222 163286178153 176741766096 180307781968 186612775032 217714904204 230395516518 236653963833 268794769271 270461672952 307194022024 315538618444 326572356306 373225550064 435429808408 460791033036 473307927666 537589538542 540923345904 614388044048 631077236888 653144712612 806384307813 870859616816 921582066072 946615855332 1075179077084 1262154473776 1306289425224 1612768615626 1843164132144 1893231710664 2150358154168 2612578850448 2940961947151 3225537231252 3786463421328 4300716308336 5881923894302 6451074462504 8822885841453 11763847788604 12902148925008 17645771682906 20586733630057 23527695577208 35291543365812 41173467260114 47055391154416 61760200890171 70583086731624 82346934520228 123520401780342 141166173463248 164693869040456 214690222142023 247040803560684 329387738080912 429380444284046 494081607121368 644070666426069 858760888568092 988163214242736 1288141332852138 1502831554994161 1717521777136184 2576282665704276 3005663109988322 3435043554272368 4508494664982483 5152565331408552 6011326219976644 9016989329964966 10305130662817104 12022652439953288 18033978659929932 24045304879906576 36067957319859864 72135914639719728
- Sum of all divisors σ(n): 215947903530737664
- Sum of proper divisors (its aliquot sum) s(n): 143811988891017936
- 72135914639719728 is an abundant number, because the sum of its proper divisors (143811988891017936) is greater than itself. Its abundance is 71676074251298208
Bases of 72135914639719728
- Binary: 1000000000100011100111011011011111010010111111101001100002
- Hexadecimal: 0x100473B6FA5FD30
- Base-36: JQA1PP6D6PC
Squares and roots of 72135914639719728
- 72135914639719728 squared (721359146397197282) is 5203590180908930975464114392393984
- 72135914639719728 cubed (721359146397197283) is 375365737110130381832547582290572616804540713316352
-
The
square root of 72135914639719728 is 268581299.8697409835 -
The
cube root of 72135914639719728 is 416278.3721441175
Scales and comparisons
How big is 72135914639719728?- 72,135,914,639,719,728 seconds is equal to 2,293,698,954 years, 26 weeks, 3 days, 4 hours, 48 minutes, 48 seconds.
-
To count from 1 to 72,135,914,639,719,728 would take you about six billion, eight hundred eighty-one million, ninety-six thousand, eight hundred sixty-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 72135914639719728 cubic inches would be around 34689.9 feet tall.
Recreational maths with 72135914639719728
- 72135914639719728 backwards is 82791793641953127
- 72135914639719728 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 72135914639719728's digits is 84
- More coming soon!
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