138313888416
138,313,888,416 is an even composite number composed of six prime numbers multiplied together.
What does the number 138313888416 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 384 divisors.
138313888416 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three hundred eighty-four divisors.
Prime factorization of 138313888416:
25 × 33 × 11 × 31 × 151 × 3109
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 11 × 31 × 151 × 3109)See below for interesting mathematical facts about the number 138313888416 from the Numbermatics database.
Names of 138313888416
- Cardinal: 138313888416 can be written as One hundred thirty-eight billion, three hundred thirteen million, eight hundred eighty-eight thousand, four hundred sixteen.
Scientific notation
- Scientific notation: 1.38313888416 × 1011
Factors of 138313888416
Divisors of 138313888416
- Number of divisors d(n): 384
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Complete list of divisors:
1 2 3 4 6 8 9 11 12 16 18 22 24 27 31 32 33 36 44 48 54 62 66 72 88 93 96 99 108 124 132 144 151 176 186 198 216 248 264 279 288 297 302 341 352 372 396 432 453 496 528 558 594 604 682 744 792 837 864 906 992 1023 1056 1116 1188 1208 1359 1364 1488 1584 1661 1674 1812 2046 2232 2376 2416 2718 2728 2976 3069 3109 3168 3322 3348 3624 4077 4092 4464 4681 4752 4832 4983 5436 5456 6138 6218 6644 6696 7248 8154 8184 8928 9207 9327 9362 9504 9966 10872 10912 12276 12436 13288 13392 14043 14496 14949 16308 16368 18414 18654 18724 19932 21744 24552 24872 26576 26784 27981 28086 29898 32616 32736 34199 36828 37308 37448 39864 42129 43488 44847 49104 49744 51491 53152 55962 56172 59796 65232 68398 73656 74616 74896 79728 83943 84258 89694 96379 98208 99488 102597 102982 111924 112344 119592 126387 130464 136796 147312 149232 149792 154473 159456 167886 168516 179388 192758 205194 205964 223848 224688 239184 252774 273592 289137 294624 298464 307791 308946 335772 337032 358776 385516 410388 411928 447696 449376 463419 469459 478368 505548 547184 578274 615582 617892 671544 674064 717552 771032 820776 823856 867411 895392 923373 926838 938918 1011096 1060169 1094368 1156548 1231164 1235784 1343088 1348128 1390257 1408377 1435104 1542064 1641552 1647712 1734822 1846746 1853676 1877836 2022192 2120338 2313096 2462328 2471568 2602233 2686176 2780514 2816754 3084128 3180507 3283104 3469644 3693492 3707352 3755672 4044384 4225131 4240676 4626192 4924656 4943136 5164049 5204466 5561028 5633508 6361014 6939288 7386984 7414704 7511344 8450262 8481352 9252384 9541521 9849312 10328098 10408932 11122056 11267016 12675393 12722028 13878576 14553229 14773968 14829408 15022688 15492147 16900524 16962704 19083042 20656196 20817864 22244112 22534032 25350786 25444056 27757152 28624563 29106458 29547936 30984294 33801048 33925408 38166084 41312392 41635728 43659687 44488224 45068064 46476441 50701572 50888112 57249126 58212916 61968588 67602096 76332168 82624784 83271456 87319374 92952882 101403144 101776224 114498252 116425832 123937176 130979061 135204192 139429323 152664336 160085519 165249568 174638748 185905764 202806288 228996504 232851664 247874352 261958122 278858646 305328672 320171038 349277496 371811528 392937183 405612576 457993008 465703328 480256557 495748704 523916244 557717292 640342076 698554992 743623056 785874366 915986016 960513114 1047832488 1115434584 1280684152 1397109984 1440769671 1487246112 1571748732 1921026228 2095664976 2230869168 2561368304 2881539342 3143497464 3842052456 4191329952 4322309013 4461738336 5122736608 5763078684 6286994928 7684104912 8644618026 11526157368 12573989856 15368209824 17289236052 23052314736 34578472104 46104629472 69156944208 138313888416
- Sum of all divisors σ(n): 457441689600
- Sum of proper divisors (its aliquot sum) s(n): 319127801184
- 138313888416 is an abundant number, because the sum of its proper divisors (319127801184) is greater than itself. Its abundance is 180813912768
Bases of 138313888416
- Binary: 100000001101000010011001110010101000002
- Hexadecimal: 0x20342672A0
- Base-36: 1RJGINC0
Squares and roots of 138313888416
- 138313888416 squared (1383138884162) is 19130731728753698989056
- 138313888416 cubed (1383138884163) is 2646045893647269900719543589175296
-
The
square root of 138313888416 is 371905.7520609219 -
The
cube root of 138313888416 is 5171.5643174967
Scales and comparisons
How big is 138313888416?- 138,313,888,416 seconds is equal to 4,397 years, 49 weeks, 4 days, 4 hours, 33 minutes, 36 seconds.
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To count from 1 to 138,313,888,416 would take you about eight thousand, seven hundred ninety-five 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 138313888416 cubic inches would be around 431 feet tall.
Recreational maths with 138313888416
- 138313888416 backwards is 614888313831
- 138313888416 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 138313888416's digits is 54
- More coming soon!
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The information we have on file for 138313888416 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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