122117507685804020000
122,117,507,685,804,020,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 122117507685804020000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 2430 divisors.
122117507685804020000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand, four hundred thirty divisors.
Prime factorization of 122117507685804020000:
25 × 54 × 132 × 832 × 1392 × 5212
(2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 5 × 13 × 13 × 83 × 83 × 139 × 139 × 521 × 521)See below for interesting mathematical facts about the number 122117507685804020000 from the Numbermatics database.
Names of 122117507685804020000
- Cardinal: 122117507685804020000 can be written as One hundred twenty-two quintillion, one hundred seventeen quadrillion, five hundred seven trillion, six hundred eighty-five billion, eight hundred four million, twenty thousand.
Scientific notation
- Scientific notation: 1.2211750768580402 × 1020
Factors of 122117507685804020000
Divisors of 122117507685804020000
- Number of divisors d(n): 2430
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Complete list of divisors:
1 2 4 5 8 10 13 16 20 25 26 32 40 50 52 65 80 83 100 104 125 130 139 160 166 169 200 208 250 260 278 325 332 338 400 415 416 500 520 521 556 625 650 664 676 695 800 830 845 1000 1040 1042 1079 1112 1250 1300 1328 1352 1390 1625 1660 1690 1807 2000 2075 2080 2084 2158 2224 2500 2600 2605 2656 2704 2780 3250 3320 3380 3475 3614 4000 4150 4168 4225 4316 4448 5000 5200 5210 5395 5408 5560 6500 6640 6760 6773 6889 6950 7228 8125 8300 8336 8450 8632 9035 10000 10375 10400 10420 10790 11120 11537 13000 13025 13280 13520 13546 13778 13900 14027 14456 16250 16600 16672 16900 17264 17375 18070 19321 20000 20750 20840 21125 21580 22240 23074 23491 26000 26050 26975 27040 27092 27556 27800 28054 28912 32500 33200 33800 33865 34445 34528 34750 36140 38642 41500 41680 42250 43160 43243 45175 46148 46982 51875 52000 52100 53950 54184 55112 55600 56108 57685 57824 65000 65125 66400 67600 67730 68890 69500 70135 72280 72419 77284 83000 83360 84500 86320 86486 86875 88049 89557 90350 92296 93964 96605 103750 104200 105625 107900 108368 110224 111200 112216 115370 117455 130000 130250 134875 135200 135460 137780 139000 140270 144560 144838 149981 154568 166000 169000 169325 172225 172640 172972 173750 176098 179114 180700 184592 187928 193210 207500 208400 211250 215800 216215 216736 220448 224432 225875 230740 234910 251173 260000 260500 269750 270920 271441 275560 278000 280540 288425 289120 289676 299962 309136 325625 332000 338000 338650 344450 345944 347500 350675 352196 358228 361400 362095 369184 375856 386420 415000 416800 422500 431600 432430 440245 447785 448864 451750 461480 469820 483025 502346 521000 539500 541840 542882 551120 556000 561080 562159 576850 579352 587275 599924 618272 651250 674375 676000 677300 688900 691888 695000 701350 704392 716456 722800 724190 749905 751712 772840 830000 845000 846625 861125 863200 864860 880490 895570 903500 922960 939640 941447 957571 966050 1004692 1042000 1079000 1081075 1083680 1085764 1102240 1122160 1124318 1129375 1153700 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73564763666147000 75149235498956320 87854322076118000 90323600359322500 91955954582683750 93936544373695400 97694006148643216 109817902595147500 113176559486380000 117195304880810000 117420680467119250 122117507685804020 144517760574916000 147129527332294000 152646884607255025 175708644152236000 180647200718645000 183911909165367500 187873088747390800 195388012297286432 219635805190295000 234390609761620000 234841360934238500 244235015371608040 293551701167798125 294259054664588000 305293769214510050 361294401437290000 367823818330735000 375746177494781600 439271610380590000 469682721868477000 488470030743216080 587103402335596250 610587538429020100 722588802874580000 735647636661470000 763234423036275125 878543220761180000 939365443736954000 976940061486432160 1174206804671192500 1221175076858040200 1471295273322940000 1526468846072550250 1878730887473908000 2348413609342385000 2442350153716080400 3052937692145100500 3816172115181375625 4696827218684770000 4884700307432160800 6105875384290201000 7632344230362751250 9393654437369540000 12211750768580402000 15264688460725502500 24423501537160804000 30529376921451005000 61058753842902010000 122117507685804020000
- Sum of all divisors σ(n): 332305335297102478311
- Sum of proper divisors (its aliquot sum) s(n): 210187827611298458311
- 122117507685804020000 is an abundant number, because the sum of its proper divisors (210187827611298458311) is greater than itself. Its abundance is 88070319925494438311
Bases of 122117507685804020000
- Binary: 11010011110101110001000101000111011111001000110001000010001001000002
- Hexadecimal: 0x69EB88A3BE4621120
- Base-36: PRSHVN5CQP8GW
Squares and roots of 122117507685804020000
- 122117507685804020000 squared (1221175076858040200002) is 14912685683392403896283433848160400000000
- 122117507685804020000 cubed (1221175076858040200003) is 1821100008557651457218177336471606576595271924808000000000000
-
The
square root of 122117507685804020000 is 11050679059.9403446795 -
The
cube root of 122117507685804020000 is 4961267.5026300659
Scales and comparisons
How big is 122117507685804020000?- 122,117,507,685,804,020,000 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 122,117,507,685,804,020,000 would take you about two hundred ninety-three billion, two hundred seventy-four million, seven hundred one thousand and nine 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 122117507685804020000 cubic inches would be around 413439 feet tall.
Recreational maths with 122117507685804020000
- 122117507685804020000 backwards is 000020408586705711221
- The number of decimal digits it has is: 21
- The sum of 122117507685804020000's digits is 59
- More coming soon!
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"Number 122117507685804020000 - Facts about the integer". Numbermatics.com. 2024. Web. 4 June 2024.
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Numbermatics. (2024). Number 122117507685804020000 - Facts about the integer. Retrieved 4 June 2024, from https://numbermatics.com/n/122117507685804020000/
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Numbermatics. 2024. "Number 122117507685804020000 - Facts about the integer". https://numbermatics.com/n/122117507685804020000/
The information we have on file for 122117507685804020000 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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