138514016964960
138,514,016,964,960 is an even composite number composed of six prime numbers multiplied together.
What does the number 138514016964960 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 2448 divisors.
138514016964960 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand, four hundred forty-eight divisors.
Prime factorization of 138514016964960:
25 × 316 × 5 × 7 × 132 × 17
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 7 × 13 × 13 × 17)See below for interesting mathematical facts about the number 138514016964960 from the Numbermatics database.
Names of 138514016964960
- Cardinal: 138514016964960 can be written as One hundred thirty-eight trillion, five hundred fourteen billion, sixteen million, nine hundred sixty-four thousand, nine hundred sixty.
Scientific notation
- Scientific notation: 1.3851401696496 × 1014
Factors of 138514016964960
Divisors of 138514016964960
- Number of divisors d(n): 2448
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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 51 52 54 56 60 63 65 68 70 72 78 80 81 84 85 90 91 96 102 104 105 108 112 117 119 120 126 130 135 136 140 144 153 156 160 162 168 169 170 180 182 189 195 204 208 210 216 221 224 234 238 240 243 252 255 260 270 272 273 280 288 306 312 315 324 336 338 340 351 357 360 364 378 390 405 408 416 420 432 442 455 459 468 476 480 486 504 507 510 520 540 544 546 560 567 585 595 612 624 630 648 663 672 676 680 702 714 720 728 729 756 765 780 810 816 819 840 845 864 884 910 918 936 945 952 972 1008 1014 1020 1040 1053 1071 1080 1092 1105 1120 1134 1170 1183 1190 1215 1224 1248 1260 1296 1326 1352 1360 1365 1377 1404 1428 1440 1456 1458 1512 1521 1530 1547 1560 1620 1632 1638 1680 1690 1701 1755 1768 1785 1820 1836 1872 1890 1904 1944 1989 2016 2028 2040 2080 2106 2142 2160 2184 2187 2210 2268 2295 2340 2366 2380 2430 2448 2457 2520 2535 2592 2652 2704 2720 2730 2754 2808 2835 2856 2873 2912 2916 3024 3042 3060 3094 3120 3159 3213 3240 3276 3315 3360 3380 3402 3510 3536 3549 3570 3640 3645 3672 3744 3780 3808 3888 3978 4056 4080 4095 4131 4212 4284 4320 4368 4374 4420 4536 4563 4590 4641 4680 4732 4760 4860 4896 4914 5040 5070 5103 5265 5304 5355 5408 5460 5508 5616 5670 5712 5746 5832 5915 5967 6048 6084 6120 6188 6240 6318 6426 6480 6552 6561 6630 6760 6804 6885 7020 7072 7098 7140 7280 7290 7344 7371 7560 7605 7735 7776 7956 8112 8160 8190 8262 8424 8505 8568 8619 8736 8748 8840 9072 9126 9180 9282 9360 9464 9477 9520 9639 9720 9828 9945 10080 10140 10206 10530 10608 10647 10710 10920 10935 11016 11232 11340 11424 11492 11664 11830 11934 12168 12240 12285 12376 12393 12636 12852 12960 13104 13122 13260 13520 13608 13689 13770 13923 14040 14196 14280 14365 14560 14580 14688 14742 15120 15210 15309 15470 15795 15912 16065 16224 16380 16524 16848 17010 17136 17238 17496 17680 17745 17901 18144 18252 18360 18564 18720 18928 18954 19040 19278 19440 19656 19683 19890 20111 20280 20412 20655 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769522316472 814788335088 819609567840 824488196220 855024796080 865712606031 887910365160 905320372320 961902895590 989385835464 1018485418860 1026029755296 1065492438192 1099317594960 1154283474708 1163983335840 1183880486880 1236732294330 1282537194120 1319181113952 1331865547740 1357980558480 1442854343385 1522132054560 1539044632944 1629576670176 1648976392440 1710049592160 1731425212062 1775820730320 1923805791180 1978771670928 2036970837720 2130984876384 2198635189920 2308566949416 2473464588660 2565074388240 2663731095480 2715961116960 2885708686770 3078089265888 3297952784880 3462850424124 3551641460640 3847611582360 3957543341856 4073941675440 4328563030155 4617133898832 4946929177320 5130148776480 5327462190960 5771417373540 6595905569760 6925700848248 7695223164720 8147883350880 8657126060310 9234267797664 9893858354640 10654924381920 11542834747080 13851401696496 15390446329440 17314252120620 19787716709280 23085669494160 27702803392992 34628504241240 46171338988320 69257008482480 138514016964960
- Sum of all divisors σ(n): 643186192765536
- Sum of proper divisors (its aliquot sum) s(n): 504672175800576
- 138514016964960 is an abundant number, because the sum of its proper divisors (504672175800576) is greater than itself. Its abundance is 366158158835616
Bases of 138514016964960
- Binary: 111110111111010010011101100011100010001011000002
- Hexadecimal: 0x7DFA4EC71160
- Base-36: 1D3KGLDI00
Squares and roots of 138514016964960
- 138514016964960 squared (1385140169649602) is 19186132895769226689867801600
- 138514016964960 cubed (1385140169649603) is 2657548337416555797129448695362059431936000
-
The
square root of 138514016964960 is 11769197.8046492191 -
The
cube root of 138514016964960 is 51740.5738814995
Scales and comparisons
How big is 138514016964960?- 138,514,016,964,960 seconds is equal to 4,404,317 years, 14 weeks, 6 days, 15 hours, 36 minutes.
-
To count from 1 to 138,514,016,964,960 would take you about eleven million, ten thousand, seven hundred ninety-three 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 138514016964960 cubic inches would be around 4311.7 feet tall.
Recreational maths with 138514016964960
- 138514016964960 backwards is 069469610415831
- 138514016964960 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138514016964960's digits is 63
- More coming soon!
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"Number 138514016964960 - Facts about the integer". Numbermatics.com. 2024. Web. 5 June 2024.
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Numbermatics. (2024). Number 138514016964960 - Facts about the integer. Retrieved 5 June 2024, from https://numbermatics.com/n/138514016964960/
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The information we have on file for 138514016964960 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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