997123257972050400
997,123,257,972,050,400 is an even composite number composed of five prime numbers multiplied together.
997123257972050400 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two hundred sixteen divisors.
Prime factorization of 997123257972050400:
25 × 32 × 52 × 8117 × 17061641171
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 8117 × 17061641171)See below for interesting mathematical facts about the number 997123257972050400 from the Numbermatics database.
Names of 997123257972050400
- Cardinal: 997123257972050400 can be written as Nine hundred ninety-seven quadrillion, one hundred twenty-three trillion, two hundred fifty-seven billion, nine hundred seventy-two million, fifty thousand, four hundred.
Scientific notation
- Scientific notation: 9.971232579720504 × 1017
Factors of 997123257972050400
- Number of distinct prime factors ω(n): 5
- Total number of prime factors Ω(n): 11
- Sum of prime factors: 17061649298
Divisors of 997123257972050400
- Number of divisors d(n): 216
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 32 36 40 45 48 50 60 72 75 80 90 96 100 120 144 150 160 180 200 225 240 288 300 360 400 450 480 600 720 800 900 1200 1440 1800 2400 3600 7200 8117 16234 24351 32468 40585 48702 64936 73053 81170 97404 121755 129872 146106 162340 194808 202925 243510 259744 292212 324680 365265 389616 405850 487020 584424 608775 649360 730530 779232 811700 974040 1168848 1217550 1298720 1461060 1623400 1826325 1948080 2337696 2435100 2922120 3246800 3652650 3896160 4870200 5844240 6493600 7305300 9740400 11688480 14610600 19480800 29221200 58442400 17061641171 34123282342 51184923513 68246564684 85308205855 102369847026 136493129368 153554770539 170616411710 204739694052 255924617565 272986258736 307109541078 341232823420 409479388104 426541029275 511849235130 545972517472 614219082156 682465646840 767773852695 818958776208 853082058550 1023698470260 1228438164312 1279623087825 1364931293680 1535547705390 1637917552416 1706164117100 2047396940520 2456876328624 2559246175650 2729862587360 3071095410780 3412328234200 3838869263475 4094793881040 4913752657248 5118492351300 6142190821560 6824656468400 7677738526950 8189587762080 10236984702600 12284381643120 13649312936800 15355477053900 20473969405200 24568763286240 30710954107800 40947938810400 61421908215600 122843816431200 138489341385007 276978682770014 415468024155021 553957365540028 692446706925035 830936048310042 1107914731080056 1246404072465063 1384893413850070 1661872096620084 2077340120775105 2215829462160112 2492808144930126 2769786827700140 3323744193240168 3462233534625175 4154680241550210 4431658924320224 4985616289860252 5539573655400280 6232020362325315 6647488386480336 6924467069250350 8309360483100420 9971232579720504 10386700603875525 11079147310800560 12464040724650630 13294976772960672 13848934138500700 16618720966200840 19942465159441008 20773401207751050 22158294621601120 24928081449301260 27697868277001400 31160101811626575 33237441932401680 39884930318882016 41546802415502100 49856162898602520 55395736554002800 62320203623253150 66474883864803360 83093604831004200 99712325797205040 110791473108005600 124640407246506300 166187209662008400 199424651594410080 249280814493012600 332374419324016800 498561628986025200 997123257972050400
- Sum of all divisors σ(n): 3516539066637741144
- Sum of proper divisors (its aliquot sum) s(n): 2519415808665690744
- 997123257972050400 is an abundant number, because the sum of its proper divisors (2519415808665690744) is greater than itself. Its abundance is 1522292550693640344
Bases of 997123257972050400
- Binary: 1101110101100111111001010001111101001011010001001001111000002
- Hexadecimal: 0xDD67E51F4B449E0
- Base-36: 7KQ2P0YCYPK0
Squares and roots of 997123257972050400
- 997123257972050400 squared (9971232579720504002) is 994254791588796171577187580140160000
- 997123257972050400 cubed (9971232579720504003) is 991394577043342411177982060909378673851394584064000000
-
The
square root of 997123257972050400 is 998560593.0398267023 -
The
cube root of 997123257972050400 is 999040.1650022205
Scales and comparisons
How big is 997123257972050400?- 997,123,257,972,050,400 seconds is equal to 31,705,435,298 years, 39 weeks, 5 days, 14 hours.
-
To count from 1 to 997,123,257,972,050,400 would take you about ninety-five billion, one hundred sixteen million, three hundred five thousand, eight hundred ninety-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 997123257972050400 cubic inches would be around 83253.3 feet tall.
Recreational maths with 997123257972050400
- 997123257972050400 backwards is 004050279752321799
- 997123257972050400 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 997123257972050400's digits is 72
- More coming soon!
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