138946536138240
138,946,536,138,240 is an even composite number composed of seven prime numbers multiplied together.
What does the number 138946536138240 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 2400 divisors.
138946536138240 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand, four hundred divisors.
Prime factorization of 138946536138240:
29 × 34 × 5 × 31 × 37 × 612 × 157
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 31 × 37 × 61 × 61 × 157)See below for interesting mathematical facts about the number 138946536138240 from the Numbermatics database.
Names of 138946536138240
- Cardinal: 138946536138240 can be written as One hundred thirty-eight trillion, nine hundred forty-six billion, five hundred thirty-six million, one hundred thirty-eight thousand, two hundred forty.
Scientific notation
- Scientific notation: 1.3894653613824 × 1014
Factors of 138946536138240
Divisors of 138946536138240
- Number of divisors d(n): 2400
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 31 32 36 37 40 45 48 54 60 61 62 64 72 74 80 81 90 93 96 108 111 120 122 124 128 135 144 148 155 157 160 162 180 183 185 186 192 216 222 240 244 248 256 270 279 288 296 305 310 314 320 324 333 360 366 370 372 384 405 432 444 465 471 480 488 496 512 540 549 555 558 576 592 610 620 628 640 648 666 720 732 740 744 768 785 810 837 864 888 915 930 942 960 976 992 999 1080 1098 1110 1116 1147 1152 1184 1220 1240 1256 1280 1296 1332 1395 1413 1440 1464 1480 1488 1536 1570 1620 1647 1665 1674 1728 1776 1830 1860 1884 1891 1920 1952 1984 1998 2160 2196 2220 2232 2257 2294 2304 2355 2368 2440 2480 2511 2512 2560 2592 2664 2745 2790 2826 2880 2928 2960 2976 2997 3140 3240 3294 3330 3348 3441 3456 3552 3660 3720 3721 3768 3782 3840 3904 3968 3996 4185 4239 4320 4392 4440 4464 4514 4588 4608 4710 4736 4867 4880 4941 4960 4995 5022 5024 5184 5328 5490 5580 5652 5673 5735 5760 5809 5856 5920 5952 5994 6280 6480 6588 6660 6696 6771 6882 6912 7065 7104 7320 7440 7442 7536 7564 7680 7808 7936 7992 8235 8370 8478 8640 8784 8880 8928 9028 9176 9420 9455 9472 9577 9734 9760 9882 9920 9990 10044 10048 10323 10368 10656 10980 11160 11163 11285 11304 11346 11470 11520 11618 11712 11840 11904 11988 12555 12560 12717 12960 13176 13320 13392 13542 13764 13824 14130 14208 14601 14640 14880 14884 14985 15072 15128 15616 15872 15984 16470 16740 16956 17019 17205 17280 17427 17568 17760 17856 18056 18352 18605 18840 18910 18944 19154 19468 19520 19764 19840 19980 20088 20096 20313 20646 20736 21195 21312 21960 22320 22326 22570 22608 22692 22940 23040 23236 23424 23680 23808 23976 24335 24705 25110 25120 25434 25920 26352 26640 26784 27084 27528 28260 28365 28416 28731 29045 29202 29280 29760 29768 29970 30144 30256 30969 31232 31968 32940 33480 33489 33855 33912 34038 34410 34560 34854 35136 35520 35712 36112 36704 37210 37680 37820 38308 38936 39040 39528 39680 39960 40176 40192 40626 41292 41472 42390 42624 43803 43920 44640 44652 45140 45216 45384 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1029233601024 1085519813580 1120536581760 1138906033920 1157887801152 1251770595840 1286542001280 1447359751440 1494048775680 1543850401536 1715389335040 1736831701728 1877655893760 1929813001920 2171039627160 2241073163520 2277812067840 2315775602304 2573084002560 2894719502880 3087700803072 3473663403456 3755311787520 3859626003840 4342079254320 4482146327040 4631551204608 5146168005120 5789439005760 6947326806912 7719252007680 8684158508640 9263102409216 11578878011520 13894653613824 15438504015360 17368317017280 23157756023040 27789307227648 34736634034560 46315512046080 69473268069120 138946536138240
- Sum of all divisors σ(n): 539807926724352
- Sum of proper divisors (its aliquot sum) s(n): 400861390586112
- 138946536138240 is an abundant number, because the sum of its proper divisors (400861390586112) is greater than itself. Its abundance is 261914854447872
Bases of 138946536138240
- Binary: 111111001011111000000101110110111100110000000002
- Hexadecimal: 0x7E5F02EDE600
- Base-36: 1D935O4G00
Squares and roots of 138946536138240
- 138946536138240 squared (1389465361382402) is 19306139904815234292390297600
- 138946536138240 cubed (1389465361382403) is 2682521265974327305397701000109148340224000
-
The
square root of 138946536138240 is 11787558.5316994291 -
The
cube root of 138946536138240 is 51794.3723777821
Scales and comparisons
How big is 138946536138240?- 138,946,536,138,240 seconds is equal to 4,418,070 years, 3 weeks, 14 hours, 24 minutes.
-
To count from 1 to 138,946,536,138,240 would take you about eleven million, forty-five thousand, one hundred seventy-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 138946536138240 cubic inches would be around 4316.2 feet tall.
Recreational maths with 138946536138240
- 138946536138240 backwards is 042831635649831
- The number of decimal digits it has is: 15
- The sum of 138946536138240's digits is 63
- More coming soon!
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"Number 138946536138240 - Facts about the integer". Numbermatics.com. 2024. Web. 7 June 2024.
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Numbermatics. (2024). Number 138946536138240 - Facts about the integer. Retrieved 7 June 2024, from https://numbermatics.com/n/138946536138240/
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The information we have on file for 138946536138240 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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