138742513140
138,742,513,140 is an even composite number composed of eight prime numbers multiplied together.
138742513140 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of eight hundred sixty-four divisors.
Prime factorization of 138742513140:
22 × 3 × 5 × 72 × 112 × 23 × 31 × 547
(2 × 2 × 3 × 5 × 7 × 7 × 11 × 11 × 23 × 31 × 547)See below for interesting mathematical facts about the number 138742513140 from the Numbermatics database.
Names of 138742513140
- Cardinal: 138742513140 can be written as One hundred thirty-eight billion, seven hundred forty-two million, five hundred thirteen thousand, one hundred forty.
Scientific notation
- Scientific notation: 1.3874251314 × 1011
Factors of 138742513140
Divisors of 138742513140
- Number of divisors d(n): 864
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Complete list of divisors:
1 2 3 4 5 6 7 10 11 12 14 15 20 21 22 23 28 30 31 33 35 42 44 46 49 55 60 62 66 69 70 77 84 92 93 98 105 110 115 121 124 132 138 140 147 154 155 161 165 186 196 210 217 220 230 231 242 245 253 276 294 308 310 322 330 341 345 363 372 385 420 434 460 462 465 483 484 490 506 539 547 588 605 620 644 651 660 682 690 713 726 735 759 770 805 847 868 924 930 966 980 1012 1023 1078 1085 1094 1127 1155 1210 1265 1302 1364 1380 1426 1452 1470 1518 1519 1540 1610 1617 1641 1694 1705 1771 1815 1860 1932 2046 2139 2156 2170 2188 2254 2310 2387 2415 2420 2530 2541 2604 2695 2735 2783 2852 2940 3036 3038 3220 3234 3255 3282 3381 3388 3410 3542 3565 3630 3751 3795 3829 4092 4235 4278 4340 4508 4557 4620 4774 4830 4991 5060 5082 5115 5313 5390 5470 5566 5635 5929 6017 6076 6468 6510 6564 6762 6820 7084 7130 7161 7260 7502 7590 7595 7658 7843 8085 8205 8349 8470 8556 8855 9114 9548 9660 9982 10164 10230 10626 10695 10780 10940 11132 11253 11270 11487 11858 11935 12034 12397 12581 12705 13020 13524 13915 14260 14322 14973 15004 15180 15190 15316 15686 16170 16410 16698 16709 16905 16940 16957 17710 17787 18051 18228 18755 19145 19481 19964 20460 21252 21390 22506 22540 22785 22974 23529 23716 23870 24068 24794 24955 25162 25410 26257 26565 26803 27830 28644 29645 29946 30085 30380 31372 32340 32820 33396 33418 33810 33914 34937 35420 35574 35805 36102 37191 37510 37743 38290 38962 39215 41745 42119 42780 45012 45570 45948 47058 47740 49588 49910 50127 50324 50820 50871 52514 53130 53606 54901 55660 56265 57435 58443 59290 59892 60170 61985 62905 66187 66836 67620 67828 69874 71148 71610 72204 74382 74865 75020 75486 76580 77924 78430 78771 80409 83490 83545 84238 84785 86273 88067 88935 90255 91140 94116 97405 99820 100254 101742 104811 105028 106260 107212 109802 112530 114870 116886 117645 118580 118699 120340 123970 125810 126357 131285 132374 134015 136367 138391 139748 143220 148764 149730 150972 156860 157542 160818 164703 166980 167090 168476 169570 172546 174685 176134 177870 180510 183799 185955 186527 188715 194810 198561 200508 203484 209622 210595 219604 225060 229740 233772 235290 237398 247940 250635 251620 252714 254355 258819 262570 264201 264748 268030 272734 274505 276782 292215 294833 299460 315084 321636 329406 330935 334180 339140 345092 349370 352268 355740 356097 361020 367598 371910 373054 377430 384307 389620 390011 393855 397122 402045 409101 415173 419244 421190 431365 440335 463309 470580 474796 501270 505428 508710 517638 524055 525140 528402 536060 545468 549010 551397 553564 559581 584430 589666 593495 603911 616469 631785 658812 661870 681835 691955 698740 712194 735196 743820 746108 754860 768614 780022 787710 794244 804090 818202 823515 830346 830893 842380 862730 880670 884499 918995 926618 932635 968737 992805 1002540 1017420 1035276 1048110 1056804 1098020 1102794 1119162 1152921 1168860 1170033 1179332 1186990 1207822 1232938 1263570 1294095 1305689 1321005 1323740 1363670 1383910 1389927 1424388 1474165 1522301 1537228 1560044 1575420 1608180 1636404 1647030 1660692 1661786 1725460 1761340 1768998 1780485 1811733 1837990 1849407 1853236 1865270 1921535 1937474 1950055 1985610 2045505 2051797 2075865 2096220 2205588 2238324 2305842 2316545 2340066 2373980 2415644 2465876 2492679 2527140 2588190 2611378 2642010 2727340 2730077 2756985 2767820 2779854 2797905 2906211 2948330 3019555 3044602 3082345 3243163 3294060 3323572 3537996 3560970 3623466 3675980 3698814 3730540 3843070 3874948 3900110 3917067 3971220 4091010 4103594 4151730 4154465 4227377 4290121 4422495 4566903 4611684 4633090 4680132 4843685 4985358 5176380 5222756 5284020 5460154 5513970 5559708 5595810 5764605 5812422 5850165 5896660 6039110 6089204 6155391 6164690 6486326 6528445 6781159 6949635 7121940 7246932 7397628 7611505 7686140 7800220 7834134 8182020 8190231 8207188 8303460 8308930 8454754 8580242 8844990 9058665 9133806 9139823 9247035 9266180 9687370 9729489 9970716 10258985 10656107 10920308 11027940 11191620 11529210 11624844 11700330 12078220 12310782 12329380 12463395 12682131 12870363 12972652 13056890 13562318 13650385 13899270 14362579 14531055 15223010 15668268 16215815 16380462 16617860 16909508 17160484 17689980 18117330 18267612 18279646 18494070 19110539 19374740 19458978 19585335 20343477 20517970 21136885 21312214 21450605 22834515 23058420 23400660 24621564 24926790 25364262 25740726 26113780 27124636 27300770 27419469 27798540 28725158 29062110 30030847 30446020 30776955 31968321 32431630 32760924 33905795 36234660 36559292 36988140 38221078 38917956 39170670 40686954 40951155 41035940 42273770 42624428 42901210 43087737 45669030 45699115 47191331 48647445 49853580 50728524 51481452 53280535 54601540 54838938 57331617 57450316 58124220 60061694 61553910 63410655 63936642 64351815 64863260 67811590 71812895 74592749 76442156 78341340 81373908 81902310 84547540 85802420 86175474 90092541 91338060 91398230 94382662 95552695 97294890 100538053 101717385 106561070 109677876 114663234 120123388 123107820 126821310 127873284 128703630 135623180 137097345 141573993 143625790 149185498 150154235 159841605 163804620 172350948 180185082 182796460 188765324 191105390 194589780 201076106 203434770 210215929 213122140 215438685 223778247 229326468 235956655 253642620 257407260 274194690 283147986 286658085 287251580 298370996 300308470 301614159 319683210 330339317 360370164 372963745 382210780 402152212 406869540 420431858 430877370 447556494 450462705 471913310 502690265 548389380 566295972 573316170 600616940 603228318 630647787 639366420 660678634 707869965 745927490 840863716 861754740 895112988 900925410 943826620 991017951 1005380530 1051079645 1118891235 1146632340 1206456636 1261295574 1321357268 1415739930 1491854980 1508070795 1651696585 1801850820 1982035902 2010761060 2102159290 2237782470 2312375219 2522591148 2831479860 3016141590 3153238935 3303393170 3964071804 4204318580 4475564940 4624750438 4955089755 6032283180 6306477870 6606786340 6937125657 9249500876 9910179510 11561876095 12612955740 13874251314 19820359020 23123752190 27748502628 34685628285 46247504380 69371256570 138742513140
- Sum of all divisors σ(n): 536015757312
- Sum of proper divisors (its aliquot sum) s(n): 397273244172
- 138742513140 is an abundant number, because the sum of its proper divisors (397273244172) is greater than itself. Its abundance is 258530731032
Bases of 138742513140
- Binary: 100000010011011011001010111101111101002
- Hexadecimal: 0x204DB2BDF4
- Base-36: 1RQJPKAC
Squares and roots of 138742513140
- 138742513140 squared (1387425131402) is 19249484952403072659600
- 138742513140 cubed (1387425131403) is 2670721918947015583050927747144000
-
The
square root of 138742513140 is 372481.5608053639 -
The
cube root of 138742513140 is 5176.9009098207
Scales and comparisons
How big is 138742513140?- 138,742,513,140 seconds is equal to 4,411 years, 30 weeks, 2 days, 2 hours, 59 minutes.
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To count from 1 to 138,742,513,140 would take you about eight thousand, eight hundred twenty-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 138742513140 cubic inches would be around 431.4 feet tall.
Recreational maths with 138742513140
- 138742513140 backwards is 041315247831
- The number of decimal digits it has is: 12
- The sum of 138742513140's digits is 39
- More coming soon!
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