72768489938799200
72,768,489,938,799,200 is an even composite number composed of five prime numbers multiplied together.
What does the number 72768489938799200 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 216 divisors.
72768489938799200 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 72768489938799200:
25 × 52 × 72 × 13 × 142795309927
(2 × 2 × 2 × 2 × 2 × 5 × 5 × 7 × 7 × 13 × 142795309927)See below for interesting mathematical facts about the number 72768489938799200 from the Numbermatics database.
Names of 72768489938799200
- Cardinal: 72768489938799200 can be written as Seventy-two quadrillion, seven hundred sixty-eight trillion, four hundred eighty-nine billion, nine hundred thirty-eight million, seven hundred ninety-nine thousand, two hundred.
Scientific notation
- Scientific notation: 7.27684899387992 × 1016
Factors of 72768489938799200
- Number of distinct prime factors ω(n): 5
- Total number of prime factors Ω(n): 11
- Sum of prime factors: 142795309954
Divisors of 72768489938799200
- Number of divisors d(n): 216
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Complete list of divisors:
1 2 4 5 7 8 10 13 14 16 20 25 26 28 32 35 40 49 50 52 56 65 70 80 91 98 100 104 112 130 140 160 175 182 196 200 208 224 245 260 280 325 350 364 392 400 416 455 490 520 560 637 650 700 728 784 800 910 980 1040 1120 1225 1274 1300 1400 1456 1568 1820 1960 2080 2275 2450 2548 2600 2800 2912 3185 3640 3920 4550 4900 5096 5200 5600 6370 7280 7840 9100 9800 10192 10400 12740 14560 15925 18200 19600 20384 25480 31850 36400 39200 50960 63700 72800 101920 127400 254800 509600 142795309927 285590619854 571181239708 713976549635 999567169489 1142362479416 1427953099270 1856339029051 1999134338978 2284724958832 2855906198540 3569882748175 3712678058102 3998268677956 4569449917664 4997835847445 5711812397080 6996970186423 7139765496350 7425356116204 7996537355912 9281695145255 9995671694890 11423624794160 12994373203357 13993940372846 14279530992700 14850712232408 15993074711824 18563390290510 19991343389780 22847249588320 24989179237225 25988746406714 27987880745692 28559061985400 29701424464816 31986149423648 34984850932115 37126780581020 39982686779560 46408475726275 49978358474450 51977492813428 55975761491384 57118123970800 59402848929632 64971866016785 69969701864230 74253561162040 79965373559120 90960612423499 92816951452550 99956716948900 103954985626856 111951522982768 114236247941600 129943732033570 139939403728460 148507122324080 159930747118240 174924254660575 181921224846998 185633902905100 199913433897800 207909971253712 223903045965536 259887464067140 279878807456920 297014244648160 324859330083925 349848509321150 363842449693996 371267805810200 399826867795600 415819942507424 454803062117495 519774928134280 559757614913840 649718660167850 699697018642300 727684899387992 742535611620400 799653735591200 909606124234990 1039549856268560 1119515229827680 1299437320335700 1399394037284600 1455369798775984 1485071223240800 1819212248469980 2079099712537120 2274015310587475 2598874640671400 2798788074569200 2910739597551968 3638424496939960 4548030621174950 5197749281342800 5597576149138400 7276848993879920 9096061242349900 10395498562685600 14553697987759840 18192122484699800 36384244969399600 72768489938799200
- Sum of all divisors σ(n): 222545633750928432
- Sum of proper divisors (its aliquot sum) s(n): 149777143812129232
- 72768489938799200 is an abundant number, because the sum of its proper divisors (149777143812129232) is greater than itself. Its abundance is 77008653873330032
Bases of 72768489938799200
- Binary: 1000000101000011010001110010110011010010011001010011000002
- Hexadecimal: 0x102868E59A4CA60
- Base-36: JWI9YS2TT28
Squares and roots of 72768489938799200
- 72768489938799200 squared (727684899387992002) is 5295253127973120398161537920640000
- 72768489938799200 cubed (727684899387992003) is 385327573966307004327956543698907983626495488000000
-
The
square root of 72768489938799200 is 269756352.9164775757 -
The
cube root of 72768489938799200 is 417491.6439721203
Scales and comparisons
How big is 72768489938799200?- 72,768,489,938,799,200 seconds is equal to 2,313,812,892 years, 17 weeks, 3 days, 4 hours, 13 minutes, 20 seconds.
-
To count from 1 to 72,768,489,938,799,200 would take you about six billion, nine hundred forty-one million, four hundred thirty-eight thousand, six hundred seventy-seven 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 72768489938799200 cubic inches would be around 34791 feet tall.
Recreational maths with 72768489938799200
- 72768489938799200 backwards is 00299783998486727
- 72768489938799200 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 72768489938799200's digits is 98
- More coming soon!
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