138516390472320
138,516,390,472,320 is an even composite number composed of six prime numbers multiplied together.
138516390472320 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand, five hundred ninety-two divisors.
Prime factorization of 138516390472320:
27 × 38 × 5 × 72 × 17 × 1992
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 7 × 7 × 17 × 199 × 199)See below for interesting mathematical facts about the number 138516390472320 from the Numbermatics database.
Names of 138516390472320
- Cardinal: 138516390472320 can be written as One hundred thirty-eight trillion, five hundred sixteen billion, three hundred ninety million, four hundred seventy-two thousand, three hundred twenty.
Scientific notation
- Scientific notation: 1.3851639047232 × 1014
Factors of 138516390472320
Divisors of 138516390472320
- Number of divisors d(n): 2592
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 17 18 20 21 24 27 28 30 32 34 35 36 40 42 45 48 49 51 54 56 60 63 64 68 70 72 80 81 84 85 90 96 98 102 105 108 112 119 120 126 128 135 136 140 144 147 153 160 162 168 170 180 189 192 196 199 204 210 216 224 238 240 243 245 252 255 270 272 280 288 294 306 315 320 324 336 340 357 360 378 384 392 398 405 408 420 432 441 448 459 476 480 486 490 504 510 540 544 560 567 576 588 595 597 612 630 640 648 672 680 714 720 729 735 756 765 784 796 810 816 833 840 864 882 896 918 945 952 960 972 980 995 1008 1020 1071 1080 1088 1120 1134 1152 1176 1190 1194 1215 1224 1260 1296 1323 1344 1360 1377 1393 1428 1440 1458 1470 1512 1530 1568 1592 1620 1632 1666 1680 1701 1728 1764 1785 1791 1836 1890 1904 1920 1944 1960 1990 2016 2040 2142 2160 2176 2187 2205 2240 2268 2295 2352 2380 2388 2430 2448 2499 2520 2592 2646 2688 2720 2754 2786 2835 2856 2880 2916 2940 2985 3024 3060 3136 3184 3213 3240 3264 3332 3360 3383 3402 3456 3528 3570 3582 3645 3672 3780 3808 3888 3920 3969 3980 4032 4080 4131 4165 4179 4284 4320 4374 4410 4480 4536 4590 4704 4760 4776 4860 4896 4998 5040 5103 5184 5292 5355 5373 5440 5508 5572 5670 5712 5760 5832 5880 5970 6048 6120 6272 6368 6426 6480 6528 6561 6615 6664 6720 6766 6804 6885 6965 7056 7140 7164 7290 7344 7497 7560 7616 7776 7840 7938 7960 8064 8160 8262 8330 8358 8505 8568 8640 8748 8820 8955 9072 9180 9408 9520 9552 9639 9720 9751 9792 9996 10080 10149 10206 10368 10584 10710 10746 10880 10935 11016 11144 11340 11424 11664 11760 11907 11940 12096 12240 12393 12495 12537 12736 12852 12960 13122 13230 13328 13440 13532 13608 13770 13930 14112 14280 14328 14580 14688 14994 15120 15232 15309 15552 15680 15876 15920 16065 16119 16320 16524 16660 16716 16915 17010 17136 17280 17496 17640 17910 18144 18360 18816 19040 19104 19278 19440 19502 19584 19845 19992 20160 20298 20412 20655 20895 21168 21420 21492 21870 22032 22288 22491 22680 22848 23328 23520 23681 23814 23880 24192 24480 24786 24990 25074 25472 25515 25704 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97000273440 99437466240 100592876160 101850287112 103062790530 104698707840 106879930920 109933643232 113166985680 114005259648 116010377280 116400328128 117786046320 120239922285 122148492480 123675348636 127312858890 128255917104 129333697920 135800382816 137417054040 139212452736 141343255584 142506574560 144287906742 145500410160 146578190976 150889314240 154594185795 157048061760 160319896380 164900464848 166286183040 169750478520 171007889472 174015565920 176679069480 181067177088 183222738720 188457674112 190008766080 192383875656 194000546880 203700574224 206125581060 213759861840 216431860113 219867286464 226333971360 232020754560 232800656256 235572092640 240479844570 244296984960 247350697272 254625717780 256511834208 271600765632 274834108080 282686511168 285013149120 288575813484 291000820320 301778628480 309188371590 314096123520 320639792760 329800929696 339500957040 342015778944 348031131840 353358138960 360719766855 366445477440 384767751312 388001093760 407401148448 412251162120 427519723680 432863720226 439734572928 452667942720 471144185280 480959689140 494701394544 509251435560 513023668416 543201531264 549668216160 565373022336 570026298240 577151626968 582001640640 618376743180 641279585520 659601859392 679001914080 696062263680 706716277920 721439533710 732890954880 769535502624 814802296896 824502324240 855039447360 865727440452 905335885440 942288370560 961919378280 989402789088 1018502871120 1026047336832 1082159300565 1099336432320 1154303253936 1164003281280 1236753486360 1282559171040 1319203718784 1358003828160 1413432555840 1442879067420 1539071005248 1629604593792 1649004648480 1710078894720 1731454880904 1923838756560 1978805578176 2037005742240 2164318601130 2198672864640 2308606507872 2473506972720 2565118342080 2716007656320 2826865111680 2885758134840 3078142010496 3298009296960 3462909761808 3847677513120 3957611156352 4074011484480 4328637202260 4617213015744 4947013945440 5130236684160 5771516269680 6596018593920 6925819523616 7695355026240 8148022968960 8657274404520 9234426031488 9894027890880 11543032539360 13851639047232 15390710052480 17314548809040 19788055781760 23086065078720 27703278094464 34629097618080 46172130157440 69258195236160 138516390472320
- Sum of all divisors σ(n): 614854006408980
- Sum of proper divisors (its aliquot sum) s(n): 476337615936660
- 138516390472320 is an abundant number, because the sum of its proper divisors (476337615936660) is greater than itself. Its abundance is 337821225464340
Bases of 138516390472320
- Binary: 111110111111010110111000011111111101010100000002
- Hexadecimal: 0x7DFADC3FEA80
- Base-36: 1D3LJUI000
Squares and roots of 138516390472320
- 138516390472320 squared (1385163904723202) is 19186790429480222872686182400
- 138516390472320 cubed (1385163904723203) is 2657684955040454904372018456156673671168000
-
The
square root of 138516390472320 is 11769298.6397796875 -
The
cube root of 138516390472320 is 51740.8694133987
Scales and comparisons
How big is 138516390472320?- 138,516,390,472,320 seconds is equal to 4,404,392 years, 39 weeks, 2 days, 19 hours, 12 minutes.
-
To count from 1 to 138,516,390,472,320 would take you about eleven million, ten thousand, nine hundred eighty-one 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 138516390472320 cubic inches would be around 4311.7 feet tall.
Recreational maths with 138516390472320
- 138516390472320 backwards is 023274093615831
- 138516390472320 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138516390472320's digits is 54
- More coming soon!
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MLA style:
"Number 138516390472320 - Facts about the integer". Numbermatics.com. 2024. Web. 5 June 2024.
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Numbermatics. (2024). Number 138516390472320 - Facts about the integer. Retrieved 5 June 2024, from https://numbermatics.com/n/138516390472320/
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The information we have on file for 138516390472320 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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