138506971020
138,506,971,020 is an even composite number composed of seven prime numbers multiplied together.
138506971020 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of four hundred thirty-two divisors.
Prime factorization of 138506971020:
22 × 3 × 5 × 11 × 192 × 592 × 167
(2 × 2 × 3 × 5 × 11 × 19 × 19 × 59 × 59 × 167)See below for interesting mathematical facts about the number 138506971020 from the Numbermatics database.
Names of 138506971020
- Cardinal: 138506971020 can be written as One hundred thirty-eight billion, five hundred six million, nine hundred seventy-one thousand and twenty.
Scientific notation
- Scientific notation: 1.3850697102 × 1011
Factors of 138506971020
Divisors of 138506971020
- Number of divisors d(n): 432
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Complete list of divisors:
1 2 3 4 5 6 10 11 12 15 19 20 22 30 33 38 44 55 57 59 60 66 76 95 110 114 118 132 165 167 177 190 209 220 228 236 285 295 330 334 354 361 380 418 501 570 590 627 649 660 668 708 722 835 836 885 1002 1045 1083 1121 1140 1180 1254 1298 1444 1670 1770 1805 1837 1947 2004 2090 2166 2242 2505 2508 2596 3135 3173 3245 3340 3363 3481 3540 3610 3674 3894 3971 4180 4332 4484 5010 5415 5511 5605 6270 6346 6490 6726 6962 7220 7348 7788 7942 9185 9519 9735 9853 10020 10443 10830 11022 11210 11913 12331 12540 12692 12980 13452 13924 15865 15884 16815 17405 18370 19038 19470 19706 19855 20886 21299 21660 22044 22420 23826 24662 27555 29559 31730 33630 34810 34903 36740 36993 38076 38291 38940 39412 39710 41772 42598 47595 47652 49265 49324 52215 55110 59118 59565 60287 61655 63460 63897 66139 67260 69620 69806 73986 76582 79420 85196 95190 98530 104430 104709 106495 108383 110220 114873 118236 119130 120574 123310 127794 132278 139612 147795 147972 153164 174515 180861 184965 187207 190380 191455 197060 198417 208860 209418 212990 216766 229746 234289 238260 241148 246620 255588 264556 295590 301435 319485 325149 330695 349030 361722 369930 374414 382910 396834 418836 425980 433532 459492 468578 523545 541915 561621 574365 581327 591180 602870 638970 650298 661390 663157 698060 702867 723444 727529 739860 748828 765820 793668 904305 936035 937156 992085 1047090 1083830 1123242 1148730 1162654 1171445 1205740 1256641 1277940 1300596 1322780 1326314 1405734 1455058 1625745 1743981 1808610 1872070 1984170 1989471 2059277 2094180 2167660 2182587 2246484 2297460 2325308 2342890 2513282 2652628 2808105 2811468 2906635 2910116 3251490 3315785 3487962 3514335 3556933 3617220 3637645 3744140 3769923 3968340 3978942 4118554 4365174 4685780 5026564 5616210 5813270 6177831 6283205 6394597 6502980 6631570 6975924 7028670 7113866 7275290 7539846 7957884 8237108 8719905 8730348 9947355 10296385 10670799 10912935 11045213 11232420 11626540 12355662 12566410 12789194 13263140 13823051 14057340 14227732 14550580 15079692 17439810 17784665 18849615 19183791 19894710 20592770 21341598 21825870 22090426 24711324 25132820 25578388 27646102 30889155 31972985 33135639 34879620 35569330 37699230 38367582 39126263 39789420 41185540 41469153 42683196 43651740 44180852 53353995 55226065 55292204 61778310 63945970 66271278 69115255 71138660 75398460 76735164 78252526 82938306 95918955 106707990 110452130 117378789 121497343 123556620 127891940 132542556 138230510 156505052 165678195 165876612 191837910 195631315 207345765 209859047 213415980 220904260 234757578 242994686 276461020 331356390 364492029 383675820 391262630 414691530 419718094 469515156 485989372 586893945 607486715 629577141 662712780 728984058 782525260 829383060 839436188 1049295235 1173787890 1214973430 1259154282 1457968116 1822460145 2098590470 2308449517 2347575780 2429946860 2518308564 3147885705 3644920290 4197180940 4616899034 6295771410 6925348551 7289840580 9233798068 11542247585 12591542820 13850697102 23084495170 27701394204 34626742755 46168990340 69253485510 138506971020
- Sum of all divisors σ(n): 456931093248
- Sum of proper divisors (its aliquot sum) s(n): 318424122228
- 138506971020 is an abundant number, because the sum of its proper divisors (318424122228) is greater than itself. Its abundance is 179917151208
Bases of 138506971020
- Binary: 100000001111111010100010100111100011002
- Hexadecimal: 0x203FA8A78C
- Base-36: 1RMNH2TO
Squares and roots of 138506971020
- 138506971020 squared (1385069710202) is 19184181021135119840400
- 138506971020 cubed (1385069710203) is 2657142804736796051238509825208000
-
The
square root of 138506971020 is 372165.2469266845 -
The
cube root of 138506971020 is 5173.9696551717
Scales and comparisons
How big is 138506971020?- 138,506,971,020 seconds is equal to 4,404 years, 4 weeks, 5 days, 22 hours, 37 minutes.
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To count from 1 to 138,506,971,020 would take you about eight thousand, eight hundred eight 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 138506971020 cubic inches would be around 431.2 feet tall.
Recreational maths with 138506971020
- 138506971020 backwards is 020179605831
- The number of decimal digits it has is: 12
- The sum of 138506971020's digits is 42
- More coming soon!
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