138385903088160
138,385,903,088,160 is an even composite number composed of seven prime numbers multiplied together.
What does the number 138385903088160 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 3024 divisors.
138385903088160 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of three thousand and twenty-four divisors.
Prime factorization of 138385903088160:
25 × 36 × 5 × 72 × 13 × 17 × 3312
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 7 × 7 × 13 × 17 × 331 × 331)See below for interesting mathematical facts about the number 138385903088160 from the Numbermatics database.
Names of 138385903088160
- Cardinal: 138385903088160 can be written as One hundred thirty-eight trillion, three hundred eighty-five billion, nine hundred three million, eighty-eight thousand, one hundred sixty.
Scientific notation
- Scientific notation: 1.3838590308816 × 1014
Factors of 138385903088160
Divisors of 138385903088160
- Number of divisors d(n): 3024
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 13 14 15 16 17 18 20 21 24 26 27 28 30 32 34 35 36 39 40 42 45 48 49 51 52 54 56 60 63 65 68 70 72 78 80 81 84 85 90 91 96 98 102 104 105 108 112 117 119 120 126 130 135 136 140 144 147 153 156 160 162 168 170 180 182 189 195 196 204 208 210 216 221 224 234 238 240 243 245 252 255 260 270 272 273 280 288 294 306 312 315 324 331 336 340 351 357 360 364 378 390 392 405 408 416 420 432 441 442 455 459 468 476 480 486 490 504 510 520 540 544 546 560 567 585 588 595 612 624 630 637 648 662 663 672 680 702 714 720 728 729 735 756 765 780 784 810 816 819 833 840 864 882 884 910 918 936 945 952 972 980 993 1008 1020 1040 1053 1071 1080 1092 1105 1120 1134 1170 1176 1190 1215 1224 1248 1260 1274 1296 1323 1324 1326 1360 1365 1377 1404 1428 1440 1456 1458 1470 1512 1530 1547 1560 1568 1620 1632 1638 1655 1666 1680 1701 1755 1764 1768 1785 1820 1836 1872 1890 1904 1911 1944 1960 1986 1989 2016 2040 2080 2106 2142 2160 2184 2205 2210 2268 2295 2317 2340 2352 2380 2430 2448 2457 2499 2520 2548 2592 2646 2648 2652 2720 2730 2754 2808 2835 2856 2912 2916 2940 2979 3024 3060 3094 3120 3159 3185 3213 3240 3276 3310 3315 3332 3360 3402 3510 3528 3536 3570 3640 3645 3672 3744 3780 3808 3822 3888 3920 3969 3972 3978 4080 4095 4131 4165 4212 4284 4303 4320 4368 4410 4420 4536 4590 4634 4641 4680 4704 4760 4860 4896 4914 4965 4998 5040 5096 5103 5265 5292 5296 5304 5355 5460 5508 5616 5627 5670 5712 5733 5832 5880 5958 5967 6048 6120 6188 6240 6318 6370 6426 6480 6552 6615 6620 6630 6664 6804 6885 6951 7020 7056 7072 7140 7280 7290 7344 7371 7497 7560 7644 7735 7776 7840 7938 7944 7956 8160 8190 8262 8330 8424 8505 8568 8606 8736 8820 8840 8937 9072 9180 9268 9282 9360 9477 9520 9555 9639 9720 9828 9930 9945 9996 10080 10192 10206 10530 10584 10592 10608 10710 10829 10920 11016 11232 11254 11340 11424 11466 11585 11664 11760 11907 11916 11934 12240 12285 12376 12393 12495 12636 12740 12852 12909 12960 13104 13230 13240 13260 13328 13608 13770 13902 13923 14040 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941400701280 961013215890 988470736344 1017543405060 1025080763616 1064506946832 1098300818160 1153215859068 1162906748640 1182785496480 1235588420430 1281350954520 1317960981792 1330633683540 1356724540080 1412101051920 1441519823835 1520724209760 1537621145424 1628069448096 1647451227240 1708467939360 1729823788602 1774178244720 1922026431780 1976941472688 2035086810120 2129013893664 2196601636320 2306431718136 2471176840860 2562701909040 2661267367080 2713449080160 2824202103840 2883039647670 3075242290848 3294902454480 3459647577204 3548356489440 3844052863560 3953882945376 4070173620240 4324559471505 4612863436272 4942353681720 5125403818080 5322534734160 5766079295340 6589804908960 6919295154408 7688105727120 8140347240480 8649118943010 9225726872544 9884707363440 10645069468320 11532158590680 13838590308816 15376211454240 17298237886020 19769414726880 23064317181360 27677180617632 34596475772040 46128634362720 69192951544080 138385903088160
- Sum of all divisors σ(n): 652164849946008
- Sum of proper divisors (its aliquot sum) s(n): 513778946857848
- 138385903088160 is an abundant number, because the sum of its proper divisors (513778946857848) is greater than itself. Its abundance is 375393043769688
Bases of 138385903088160
- Binary: 111110111011100011110101001100001110010001000002
- Hexadecimal: 0x7DDC7A987220
- Base-36: 1D1XLTOI00
Squares and roots of 138385903088160
- 138385903088160 squared (1383859030881602) is 19150658173525611424732185600
- 138385903088160 cubed (1383859030881603) is 2650181126075994455216697940623986282496000
-
The
square root of 138385903088160 is 11763753.7838973831 -
The
cube root of 138385903088160 is 51724.6170602725
Scales and comparisons
How big is 138385903088160?- 138,385,903,088,160 seconds is equal to 4,400,243 years, 34 weeks, 3 days, 3 hours, 36 minutes.
-
To count from 1 to 138,385,903,088,160 would take you about eleven million, six hundred 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 138385903088160 cubic inches would be around 4310.4 feet tall.
Recreational maths with 138385903088160
- 138385903088160 backwards is 061880309583831
- 138385903088160 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138385903088160's digits is 63
- More coming soon!
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"Number 138385903088160 - Facts about the integer". Numbermatics.com. 2024. Web. 13 June 2024.
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Numbermatics. (2024). Number 138385903088160 - Facts about the integer. Retrieved 13 June 2024, from https://numbermatics.com/n/138385903088160/
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Numbermatics. 2024. "Number 138385903088160 - Facts about the integer". https://numbermatics.com/n/138385903088160/
The information we have on file for 138385903088160 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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