137914468608
137,914,468,608 is an even composite number composed of six prime numbers multiplied together.
What does the number 137914468608 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 432 divisors.
137914468608 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of four hundred thirty-two divisors.
Prime factorization of 137914468608:
28 × 3 × 72 × 61 × 73 × 823
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 7 × 7 × 61 × 73 × 823)See below for interesting mathematical facts about the number 137914468608 from the Numbermatics database.
Names of 137914468608
- Cardinal: 137914468608 can be written as One hundred thirty-seven billion, nine hundred fourteen million, four hundred sixty-eight thousand, six hundred eight.
Scientific notation
- Scientific notation: 1.37914468608 × 1011
Factors of 137914468608
Divisors of 137914468608
- Number of divisors d(n): 432
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Complete list of divisors:
1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 61 64 73 84 96 98 112 122 128 146 147 168 183 192 196 219 224 244 256 292 294 336 366 384 392 427 438 448 488 511 584 588 672 732 768 784 823 854 876 896 976 1022 1168 1176 1281 1344 1464 1533 1568 1646 1708 1752 1792 1952 2044 2336 2352 2469 2562 2688 2928 2989 3066 3136 3292 3416 3504 3577 3904 4088 4453 4672 4704 4938 5124 5376 5761 5856 5978 6132 6272 6584 6832 7008 7154 7808 8176 8906 8967 9344 9408 9876 10248 10731 11522 11712 11956 12264 12544 13168 13359 13664 14016 14308 15616 16352 17283 17812 17934 18688 18816 19752 20496 21462 23044 23424 23912 24528 26336 26718 27328 28032 28616 31171 32704 34566 35624 35868 37632 39504 40327 40992 42924 46088 46848 47824 49056 50203 52672 53436 54656 56064 57232 60079 62342 65408 69132 71248 71736 79008 80654 81984 85848 92176 93513 95648 98112 100406 105344 106872 109312 114464 120158 120981 124684 130816 138264 142496 143472 150609 158016 161308 163968 171696 180237 184352 187026 191296 196224 200812 210688 213744 218197 228928 240316 241962 249368 276528 284992 286944 301218 316032 322616 327936 343392 351421 360474 368704 374052 382592 392448 401624 420553 427488 436394 457856 480632 483924 498736 553056 569984 573888 602436 632064 645232 654591 686784 702842 720948 737408 748104 765184 803248 841106 854976 872788 915712 961264 967848 997472 1054263 1106112 1139968 1147776 1204872 1261659 1290464 1309182 1373568 1405684 1441896 1474816 1496208 1606496 1682212 1709952 1745576 1922528 1935696 1994944 2108526 2212224 2295552 2409744 2459947 2523318 2580928 2618364 2747136 2811368 2883792 2943871 2992416 3212992 3364424 3419904 3491152 3664819 3845056 3871392 3989888 4217052 4424448 4819488 4919894 5046636 5161856 5236728 5622736 5767584 5887742 5984832 6425984 6728848 6982304 7329638 7379841 7690112 7742784 7979776 8434104 8831613 9638976 9839788 10093272 10323712 10473456 10994457 11245472 11535168 11775484 11969664 12851968 13457696 13964608 14659276 14759682 15380224 15485568 16868208 17663226 19277952 19679576 20186544 20946912 21988914 22490944 23070336 23550968 23939328 25653733 26915392 27929216 29318552 29519364 30971136 33736416 35326452 38555904 39359152 40373088 41893824 43977828 44981888 46140672 47101936 51307466 53830784 55858432 58637104 59038728 67472832 70652904 76961199 78718304 80746176 83787648 87955656 89963776 94203872 102614932 107661568 117274208 118077456 134945664 141305808 153922398 157436608 161492352 167575296 175911312 179576131 188407744 205229864 234548416 236154912 269891328 282611616 307844796 314873216 322984704 351822624 359152262 376815488 410459728 469096832 472309824 538728393 565223232 615689592 629746432 703645248 718304524 753630976 820919456 938193664 944619648 1077456786 1130446464 1231379184 1407290496 1436609048 1641838912 1889239296 2154913572 2260892928 2462758368 2814580992 2873218096 3283677824 4309827144 4925516736 5746436192 6567355648 8619654288 9851033472 11492872384 17239308576 19702066944 22985744768 34478617152 45971489536 68957234304 137914468608
- Sum of all divisors σ(n): 440459892096
- Sum of proper divisors (its aliquot sum) s(n): 302545423488
- 137914468608 is an abundant number, because the sum of its proper divisors (302545423488) is greater than itself. Its abundance is 164630954880
Bases of 137914468608
- Binary: 100000000111000101011111001001000000002
- Hexadecimal: 0x201C57C900
- Base-36: 1RCUPP1C
Squares and roots of 137914468608
- 137914468608 squared (1379144686082) is 19020400651427017457664
- 137914468608 cubed (1379144686083) is 2623188448552814149568069697011712
-
The
square root of 137914468608 is 371368.3731929793 -
The
cube root of 137914468608 is 5166.5814079657
Scales and comparisons
How big is 137914468608?- 137,914,468,608 seconds is equal to 4,385 years, 13 weeks, 1 day, 6 hours, 36 minutes, 48 seconds.
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To count from 1 to 137,914,468,608 would take you about eight thousand, seven hundred seventy 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 137914468608 cubic inches would be around 430.5 feet tall.
Recreational maths with 137914468608
- 137914468608 backwards is 806864419731
- The number of decimal digits it has is: 12
- The sum of 137914468608's digits is 57
- More coming soon!
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