138478408640

Names of 138478408640

• Cardinal: 138478408640 can be written as One hundred thirty-eight billion, four hundred seventy-eight million, four hundred eight thousand, six hundred forty.

Scientific notation

• Scientific notation: 1.3847840864 × 10¹¹

Factors of 138478408640

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 176

Divisors of 138478408640

• Number of divisors d(n): 672
• Complete list of divisors:
  1 2 4 5 8 10 11 13 16 20 22 26 31 32 40 44 47 52 55 62 64 65 67 80 88 94 104 110 124 130 134 143 155 160 176 188 208 220 235 248 260 268 286 310 320 335 341 352 376 403 416 440 470 496 517 520 536 572 611 620 670 682 704 715 737 752 806 832 871 880 940 961 992 1034 1040 1072 1144 1222 1240 1340 1364 1430 1457 1474 1504 1612 1705 1742 1760 1880 1922 1984 2015 2068 2077 2080 2144 2288 2444 2480 2585 2680 2728 2860 2914 2948 3008 3055 3149 3224 3410 3484 3520 3685 3760 3844 4030 4136 4154 4160 4288 4355 4433 4576 4805 4888 4960 5170 5360 5456 5720 5828 5896 6110 6298 6448 6721 6820 6968 7285 7370 7520 7688 8060 8272 8308 8710 8866 9152 9581 9610 9776 9920 10340 10385 10571 10720 10912 11440 11656 11792 12220 12493 12596 12896 13442 13640 13936 14570 14740 15040 15376 15745 16027 16120 16544 16616 17420 17732 18941 19162 19220 19552 20680 20770 21142 21440 21824 22165 22847 22880 23312 23584 24440 24986 25192 25792 26884 27001 27280 27872 29140 29480 30752 31490 32054 32240 33088 33232 33605 34639 34840 35464 37882 38324 38440 39104 40937 41360 41540 42284 44330 45167 45694 45760 46624 47168 47905 48880 49972 50384 52855 53768 54002 54560 55744 58280 58960 61504 62465 62980 64108 64387 64480 66464 67210 69278 69680 70928 75764 76648 76880 80135 81874 82720 83080 84568 88660 90334 91388 93248 94705 95810 97619 97760 99944 100768 105710 107536 108004 109120 114235 116560 117920 124930 125960 128216 128774 128960 132928 134420 135005 137423 138556 139360 141856 151528 153296 153760 160270 163748 165440 166160 169136 173195 177320 180668 182776 189410 191620 195238 195520 199888 201536 204685 208351 211420 215072 216008 225835 228470 233120 235840 249860 251920 256432 257548 268840 270010 274846 277112 278720 283712 297011 303056 306592 307520 320540 321935 327496 332320 338272 346390 354640 361336 365552 378820 383240 390476 399776 409370 416702 422840 430144 432016 450307 451670 456940 466240 488095 496837 499720 503840 512864 515096 537680 540020 549692 554224 587171 594022 606112 613184 641080 643870 654992 664640 676544 687115 692780 708257 709280 722672 731104 757640 766480 780952 799552 818740 833404 837031 845680 864032 900614 903340 913880 976190 993674 999440 1007680 1025728 1030192 1041755 1073809 1075360 1080040 1099384 1108448 1174342 1188044 1212224 1269047 1282160 1287740 1309984 1374230 1385560 1416514 1418560 1445344 1462208 1485055 1515280 1532960 1561904 1637480 1666808 1674062 1691360 1728064 1801228 1806680 1827760 1952380 1987348 1998880 2060384 2083510 2147618 2150720 2160080 2198768 2216896 2251535 2348684 2376088 2484185 2538094 2564320 2575480 2619968 2748460 2771120 2833028 2890688 2935855 2970110 3026189 3030560 3065920 3123808 3274960 3333616 3348124 3382720 3541285 3602456 3613360 3655520 3904760 3974696 3997760 4120768 4167020 4185155 4295236 4320160 4397536 4503070 4697368 4752176 4968370 5076188 5128640 5150960 5369045 5496920 5542240 5666056 5871710 5940220 6052378 6061120 6247616 6345235 6458881 6549920 6667232 6696248 7082570 7204912 7226720 7311040 7809520 7949392 8334040 8370310 8590472 8640320 8795072 9006140 9207341 9394736 9504352 9936740 10152376 10301920 10738090 10993840 11084480 11332112 11743420 11880440 12104756 12690470 12917762 13099840 13334464 13392496 13959517 14165140 14409824 14453440 15130945 15619040 15898784 16668080 16740620 17180944 18012280 18414682 18789472 19008704 19873480 20304752 20603840 21476180 21987680 22664224 23486840 23760880 24209512 25380940 25835524 26784992 27919034 28330280 28819648 30261890 31238080 31797568 32294405 33288079 33336160 33481240 34361888 36024560 36829364 37578944 39340457 39746960 40609504 42952360 43975360 45328448 46036705 46973680 47521760 48419024 50761880 51671048 53569984 55838068 56660560 60523780 64588810 66576158 66672320 66962480 68723776 69797585 72049120 73658728 78680914 79493920 81219008 85904720 92073410 93947360 95043520 96838048 101523760 103342096 111676136 113321120 121047560 129177620 133152316 133924960 139595170 144098240 147317456 157361828 158987840 166440395 171809440 184146820 187894720 193676096 196702285 203047520 206684192 223352272 226642240 242095120 258355240 266304632 267849920 279190340 294634912 314723656 332880790 343618880 368293640 393404570 406095040 413368384 432745027 446704544 484190240 516710480 532609264 558380680 589269824 629447312 665761580 736587280 786809140 865490054 893409088 968380480 1033420960 1065218528 1116761360 1258894624 1331523160 1473174560 1573618280 1730980108 2066841920 2130437056 2163725135 2233522720 2517789248 2663046320 2946349120 3147236560 3461960216 4327450270 4467045440 5326092640 6294473120 6923920432 8654900540 10652185280 12588946240 13847840864 17309801080 27695681728 34619602160 69239204320 138478408640
• Sum of all divisors σ(n): 414919314432
• Sum of proper divisors (its aliquot sum) s(n): 276440905792
• 138478408640 is an abundant number, because the sum of its proper divisors (276440905792) is greater than itself. Its abundance is 137962497152

Bases of 138478408640

• Binary: 10000000111101111101001101001111000000₂
• Hexadecimal: 0x203DF4D3C0
• Base-36: 1RM6GVY8

Squares and roots of 138478408640

• 138478408640 squared (138478408640²) is 19176269659466826649600
• 138478408640 cubed (138478408640³) is 2655499306094480865307350892544000
• The square root of 138478408640 is 372126.8716983499
• The cube root of 138478408640 is 5173.6139786169

Scales and comparisons

• 138,478,408,640 seconds is equal to 4,403 years, 9 weeks, 4 days, 8 hours, 37 minutes, 20 seconds.
• To count from 1 to 138,478,408,640 would take you about eight thousand, eight hundred six 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 138478408640 cubic inches would be around 431.1 feet tall.

Recreational maths with 138478408640

• 138478408640 backwards is 046804874831
• The number of decimal digits it has is: 12
• The sum of 138478408640's digits is 53
• More coming soon!