138311868784320
138,311,868,784,320 is an even composite number composed of eight prime numbers multiplied together.
What does the number 138311868784320 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 3024 divisors.
138311868784320 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of three thousand and twenty-four divisors.
Prime factorization of 138311868784320:
26 × 32 × 5 × 72 × 11 × 19 × 71 × 2572
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 7 × 7 × 11 × 19 × 71 × 257 × 257)See below for interesting mathematical facts about the number 138311868784320 from the Numbermatics database.
Names of 138311868784320
- Cardinal: 138311868784320 can be written as One hundred thirty-eight trillion, three hundred eleven billion, eight hundred sixty-eight million, seven hundred eighty-four thousand, three hundred twenty.
Scientific notation
- Scientific notation: 1.3831186878432 × 1014
Factors of 138311868784320
Divisors of 138311868784320
- Number of divisors d(n): 3024
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 11 12 14 15 16 18 19 20 21 22 24 28 30 32 33 35 36 38 40 42 44 45 48 49 55 56 57 60 63 64 66 70 71 72 76 77 80 84 88 90 95 96 98 99 105 110 112 114 120 126 132 133 140 142 144 147 152 154 160 165 168 171 176 180 190 192 196 198 209 210 213 220 224 228 231 240 245 252 257 264 266 280 284 285 288 294 304 308 315 320 330 336 342 352 355 360 380 385 392 396 399 418 420 426 440 441 448 456 462 480 490 495 497 504 514 528 532 539 560 568 570 576 588 608 616 627 630 639 660 665 672 684 693 704 710 720 735 760 770 771 781 784 792 798 836 840 852 855 880 882 912 924 931 960 980 990 994 1008 1028 1045 1056 1064 1065 1078 1120 1136 1140 1155 1176 1197 1216 1232 1254 1260 1278 1285 1320 1330 1344 1349 1368 1386 1420 1440 1463 1470 1491 1520 1540 1542 1562 1568 1584 1596 1617 1672 1680 1704 1710 1760 1764 1799 1824 1848 1862 1881 1960 1980 1988 1995 2016 2056 2090 2112 2128 2130 2156 2205 2240 2272 2280 2310 2313 2343 2352 2394 2464 2485 2508 2520 2556 2570 2640 2660 2695 2698 2736 2772 2793 2827 2840 2880 2926 2940 2982 3040 3080 3084 3124 3135 3136 3168 3192 3195 3234 3344 3360 3408 3420 3465 3479 3520 3528 3598 3648 3696 3724 3762 3855 3905 3920 3960 3976 3990 4032 4047 4112 4180 4256 4260 4312 4389 4410 4473 4544 4560 4620 4626 4655 4686 4704 4788 4851 4883 4928 4970 5016 5040 5112 5140 5280 5320 5390 5396 5397 5467 5472 5544 5586 5654 5680 5852 5880 5964 5985 6080 6160 6168 6248 6270 6336 6384 6390 6468 6688 6720 6745 6816 6840 6930 6958 7029 7056 7196 7315 7392 7448 7455 7524 7710 7810 7840 7920 7952 7980 8085 8094 8224 8360 8379 8481 8512 8520 8624 8778 8820 8946 8995 9120 9240 9252 9310 9372 9405 9408 9443 9576 9702 9766 9940 10032 10080 10224 10241 10280 10437 10560 10640 10780 10792 10794 10934 10944 11088 11172 11308 11360 11565 11704 11715 11760 11928 11970 12141 12320 12336 12496 12540 12593 12768 12780 12936 13167 13376 13490 13632 13680 13860 13916 13965 14058 14112 14135 14392 14630 14649 14784 14839 14896 14910 15048 15420 15620 15680 15840 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898129018080 909946505160 940897066560 960499088780 974027244960 987941919888 1039938863040 1047817187760 1097713244320 1152598906536 1213262006880 1234927399860 1257380625312 1317255893184 1397089583680 1411345599840 1440748633170 1455914408256 1536798542048 1571725781640 1646569866480 1728898359804 1796258036160 1819893010320 1920998177560 1948054489920 1975883839776 2095634375520 2161122949755 2195426488640 2305197813072 2426524013760 2469854799720 2514761250624 2822691199680 2881497266340 3073597084096 3143451563280 3293139732960 3457796719608 3639786020640 3841996355120 3951767679552 4191268751040 4322245899510 4610395626144 4939709599440 5762994532680 6286903126560 6586279465920 6915593439216 7279572041280 7683992710240 8644491799020 9220791252288 9879419198880 11525989065360 12573806253120 13831186878432 15367985420480 17288983598040 19758838397760 23051978130720 27662373756864 34577967196080 46103956261440 69155934392160 138311868784320
- Sum of all divisors σ(n): 646958311384320
- Sum of proper divisors (its aliquot sum) s(n): 508646442600000
- 138311868784320 is an abundant number, because the sum of its proper divisors (508646442600000) is greater than itself. Its abundance is 370334573815680
Bases of 138311868784320
- Binary: 111110111001011001111011100111010011110110000002
- Hexadecimal: 0x7DCB3DCE9EC0
- Base-36: 1D0ZLFKFK0
Squares and roots of 138311868784320
- 138311868784320 squared (1383118687843202) is 19130173046610953234677862400
- 138311868784320 cubed (1383118687843203) is 2645929984244189335066840367813504237568000
-
The
square root of 138311868784320 is 11760606.6503526935 -
The
cube root of 138311868784320 is 51715.3914599233
Scales and comparisons
How big is 138311868784320?- 138,311,868,784,320 seconds is equal to 4,397,889 years, 31 weeks, 1 day, 15 hours, 12 minutes.
-
To count from 1 to 138,311,868,784,320 would take you about ten million, nine hundred ninety-four thousand, seven hundred twenty-four 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 138311868784320 cubic inches would be around 4309.6 feet tall.
Recreational maths with 138311868784320
- 138311868784320 backwards is 023487868113831
- 138311868784320 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138311868784320's digits is 63
- More coming soon!
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"Number 138311868784320 - Facts about the integer". Numbermatics.com. 2024. Web. 17 June 2024.
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Numbermatics. (2024). Number 138311868784320 - Facts about the integer. Retrieved 17 June 2024, from https://numbermatics.com/n/138311868784320/
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The information we have on file for 138311868784320 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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