106730724714278400
106,730,724,714,278,400 is an even composite number composed of five prime numbers multiplied together.
106730724714278400 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of three hundred sixty divisors.
Prime factorization of 106730724714278400:
29 × 32 × 52 × 31 × 29886515657
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 31 × 29886515657)See below for interesting mathematical facts about the number 106730724714278400 from the Numbermatics database.
Names of 106730724714278400
- Cardinal: 106730724714278400 can be written as One hundred six quadrillion, seven hundred thirty trillion, seven hundred twenty-four billion, seven hundred fourteen million, two hundred seventy-eight thousand, four hundred.
Scientific notation
- Scientific notation: 1.067307247142784 × 1017
Factors of 106730724714278400
- Number of distinct prime factors ω(n): 5
- Total number of prime factors Ω(n): 15
- Sum of prime factors: 29886515698
Divisors of 106730724714278400
- Number of divisors d(n): 360
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 31 32 36 40 45 48 50 60 62 64 72 75 80 90 93 96 100 120 124 128 144 150 155 160 180 186 192 200 225 240 248 256 279 288 300 310 320 360 372 384 400 450 465 480 496 512 558 576 600 620 640 720 744 768 775 800 900 930 960 992 1116 1152 1200 1240 1280 1395 1440 1488 1536 1550 1600 1800 1860 1920 1984 2232 2304 2325 2400 2480 2560 2790 2880 2976 3100 3200 3600 3720 3840 3968 4464 4608 4650 4800 4960 5580 5760 5952 6200 6400 6975 7200 7440 7680 7936 8928 9300 9600 9920 11160 11520 11904 12400 12800 13950 14400 14880 15872 17856 18600 19200 19840 22320 23040 23808 24800 27900 28800 29760 35712 37200 38400 39680 44640 47616 49600 55800 57600 59520 71424 74400 79360 89280 99200 111600 115200 119040 142848 148800 178560 198400 223200 238080 297600 357120 396800 446400 595200 714240 892800 1190400 1785600 3571200 29886515657 59773031314 89659546971 119546062628 149432578285 179319093942 239092125256 268978640913 298865156570 358638187884 448297734855 478184250512 537957281826 597730313140 717276375768 747162891425 896595469710 926481985367 956368501024 1075914563652 1195460626280 1344893204565 1434552751536 1494325782850 1793190939420 1852963970734 1912737002048 2151829127304 2241488674275 2390921252560 2689786409130 2779445956101 2869105503072 2988651565700 3586381878840 3705927941468 3825474004096 4303658254608 4482977348550 4632409926835 4781842505120 5379572818260 5558891912202 5738211006144 5977303131400 6724466022825 7172763757680 7411855882936 7650948008192 8338337868303 8607316509216 8965954697100 9264819853670 9563685010240 10759145636520 11117783824404 11476422012288 11954606262800 13448932045650 13897229780505 14345527515360 14823711765872 15301896016384 16676675736606 17214633018432 17931909394200 18529639707340 19127370020480 21518291273040 22235567648808 22952844024576 23162049634175 23909212525600 26897864091300 27794459561010 28691055030720 29647423531744 33353351473212 34429266036864 35863818788400 37059279414680 38254740040960 41691689341515 43036582546080 44471135297616 45905688049152 46324099268350 47818425051200 53795728182600 55588919122020 57382110061440 59294847063488 66706702946424 68858532073728 69486148902525 71727637576800 74118558829360 76509480081920 83383378683030 86073165092160 88942270595232 92648198536700 95636850102400 107591456365200 111177838244040 114764220122880 118589694126976 133413405892848 137717064147456 138972297805050 143455275153600 148237117658720 166766757366060 172146330184320 177884541190464 185296397073400 191273700204800 208458446707575 215182912730400 222355676488080 229528440245760 237179388253952 266826811785696 277944595610100 286910550307200 296474235317440 333533514732120 344292660368640 355769082380928 370592794146800 382547400409600 416916893415150 430365825460800 444711352976160 474358776507904 533653623571392 555889191220200 573821100614400 592948470634880 667067029464240 688585320737280 711538164761856 741185588293600 833833786830300 860731650921600 889422705952320 1067307247142784 1111778382440400 1147642201228800 1185896941269760 1334134058928480 1423076329523712 1482371176587200 1667667573660600 1721463301843200 1778845411904640 2134614494285568 2223556764880800 2371793882539520 2668268117856960 2964742353174400 3335335147321200 3442926603686400 3557690823809280 4269228988571136 4447113529761600 5336536235713920 5929484706348800 6670670294642400 7115381647618560 8894227059523200 10673072471427840 11858969412697600 13341340589284800 17788454119046400 21346144942855680 26682681178569600 35576908238092800 53365362357139200 106730724714278400
- Sum of all divisors σ(n): 394281085561856064
- Sum of proper divisors (its aliquot sum) s(n): 287550360847577664
- 106730724714278400 is an abundant number, because the sum of its proper divisors (287550360847577664) is greater than itself. Its abundance is 180819636133299264
Bases of 106730724714278400
- Binary: 1011110110010111100000111010101010011011011101110000000002
- Hexadecimal: 0x17B2F075536EE00
- Base-36: T6WVU1P8CG0
Squares and roots of 106730724714278400
- 106730724714278400 squared (1067307247142784002) is 11391447598035078049316832706560000
- 106730724714278400 cubed (1067307247142784003) is 1215817457683009821608431953099176708149346304000000
-
The
square root of 106730724714278400 is 326696686.1085040147 -
The
cube root of 106730724714278400 is 474347.3581174253
Scales and comparisons
How big is 106730724714278400?- 106,730,724,714,278,400 seconds is equal to 3,393,706,906 years, 5 weeks, 3 days, 16 hours.
-
To count from 1 to 106,730,724,714,278,400 would take you about ten billion, one hundred eighty-one million, one hundred twenty thousand, seven hundred eighteen 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 106730724714278400 cubic inches would be around 39528.9 feet tall.
Recreational maths with 106730724714278400
- 106730724714278400 backwards is 004872417427037601
- The number of decimal digits it has is: 18
- The sum of 106730724714278400's digits is 63
- More coming soon!
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The information we have on file for 106730724714278400 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
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