138171946224
138,171,946,224 is an even composite number composed of seven prime numbers multiplied together.
What does the number 138171946224 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 320 divisors.
138171946224 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of three hundred twenty divisors.
Prime factorization of 138171946224:
24 × 3 × 13 × 19 × 137 × 257 × 331
(2 × 2 × 2 × 2 × 3 × 13 × 19 × 137 × 257 × 331)See below for interesting mathematical facts about the number 138171946224 from the Numbermatics database.
Names of 138171946224
- Cardinal: 138171946224 can be written as One hundred thirty-eight billion, one hundred seventy-one million, nine hundred forty-six thousand, two hundred twenty-four.
Scientific notation
- Scientific notation: 1.38171946224 × 1011
Factors of 138171946224
Divisors of 138171946224
- Number of divisors d(n): 320
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Complete list of divisors:
1 2 3 4 6 8 12 13 16 19 24 26 38 39 48 52 57 76 78 104 114 137 152 156 208 228 247 257 274 304 312 331 411 456 494 514 548 624 662 741 771 822 912 988 993 1028 1096 1324 1482 1542 1644 1781 1976 1986 2056 2192 2603 2648 2964 3084 3288 3341 3562 3952 3972 4112 4303 4883 5206 5296 5343 5928 6168 6289 6576 6682 7124 7809 7944 8606 9766 10023 10412 10686 11856 12336 12578 12909 13364 14248 14649 15618 15888 17212 18867 19532 20046 20824 21372 25156 25818 26728 28496 29298 31236 33839 34424 35209 37734 39064 40092 41648 42744 45347 50312 51636 53456 58596 62472 63479 67678 68848 70418 75468 78128 80184 81757 85067 85488 90694 100624 101517 103272 105627 117192 124944 126958 135356 136041 140836 150936 160368 163514 170134 181388 190437 203034 206544 211254 234384 245271 253916 255201 270712 272082 281672 301872 327028 340268 362776 380874 406068 422508 457717 490542 507832 510402 541424 544164 563344 589511 654056 668971 680536 725552 761748 812136 845016 861593 915434 981084 1015664 1020804 1088328 1105871 1179022 1308112 1337942 1361072 1373151 1523496 1616273 1624272 1690032 1723186 1768533 1830868 1962168 2006913 2041608 2176656 2211742 2358044 2584779 2675884 2746302 3046992 3232546 3317613 3446372 3537066 3661736 3924336 4013826 4083216 4423484 4716088 4848819 5169558 5351768 5492604 6465092 6635226 6892744 7074132 7323472 8027652 8696623 8846968 9432176 9697638 10339116 10703536 10985208 11200709 11654179 12930184 13270452 13785488 14148264 16055304 17393246 17693936 19395276 20678232 21011549 21970416 22401418 23308358 25860368 26089869 26540904 28296528 32110608 33602127 34786492 34962537 38790552 41356464 42023098 44802836 46616716 52179738 53081808 63034647 67204254 69572984 69925074 77581104 84046196 89605672 93233432 104359476 126069294 134408508 139145968 139850148 151504327 168092392 179211344 186466864 208718952 221429401 252138588 268817016 279700296 303008654 336184784 417437904 442858802 454512981 504277176 537634032 559400592 606017308 664288203 885717604 909025962 1008554352 1212034616 1328576406 1771435208 1818051924 2424069232 2657152812 2878582213 3542870416 3636103848 5314305624 5757164426 7272207696 8635746639 10628611248 11514328852 17271493278 23028657704 34542986556 46057315408 69085973112 138171946224
- Sum of all divisors σ(n): 410408732160
- Sum of proper divisors (its aliquot sum) s(n): 272236785936
- 138171946224 is an abundant number, because the sum of its proper divisors (272236785936) is greater than itself. Its abundance is 134064839712
Bases of 138171946224
- Binary: 100000001010111011000010010100111100002
- Hexadecimal: 0x202BB094F0
- Base-36: 1RH40C1C
Squares and roots of 138171946224
- 138171946224 squared (1381719462242) is 19091486723327947858176
- 138171946224 cubed (1381719462243) is 2637907876871879177776170250727424
-
The
square root of 138171946224 is 371714.8722125603 -
The
cube root of 138171946224 is 5169.7946363907
Scales and comparisons
How big is 138171946224?- 138,171,946,224 seconds is equal to 4,393 years, 22 weeks, 6 days, 8 hours, 10 minutes, 24 seconds.
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To count from 1 to 138,171,946,224 would take you about eight thousand, seven hundred eighty-six 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 138171946224 cubic inches would be around 430.8 feet tall.
Recreational maths with 138171946224
- 138171946224 backwards is 422649171831
- 138171946224 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 138171946224's digits is 48
- More coming soon!
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The information we have on file for 138171946224 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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