138504377801947740

Names of 138504377801947740

• Cardinal: 138504377801947740 can be written as One hundred thirty-eight quadrillion, five hundred four trillion, three hundred seventy-seven billion, eight hundred one million, nine hundred forty-seven thousand, seven hundred forty.

Scientific notation

• Scientific notation: 1.3850437780194774 × 10¹⁷

Factors of 138504377801947740

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 10
• Sum of prime factors: 140949

Divisors of 138504377801947740

• Number of divisors d(n): 324
• Complete list of divisors:
  1 2 3 4 5 6 10 11 12 15 20 22 30 31 33 44 55 60 62 66 93 110 121 124 132 155 165 186 220 242 310 330 341 363 372 465 484 605 620 660 682 726 930 961 1023 1210 1364 1452 1705 1815 1860 1922 2046 2420 2883 3410 3630 3751 3844 4092 4805 5115 5766 6820 7260 7502 9610 10230 10571 11253 11532 14415 15004 18755 19220 20460 21142 22506 28830 31713 37510 42284 45012 52855 56265 57660 63426 75020 105710 112530 116281 126852 140897 158565 211420 225060 232562 281794 317130 348843 422691 465124 563588 581405 634260 697686 704485 845382 1162810 1395372 1408970 1549867 1690764 1744215 2113455 2325620 2817940 3099734 3488430 4226910 4367807 4649601 6199468 6976860 7749335 8453820 8735614 9299202 13103421 15498670 17048537 17471228 18598404 21839035 23248005 26206842 30997340 34097074 43678070 46496010 48045877 51145611 52413684 65517105 68194148 85242685 87356140 92992020 96091754 102291222 131034210 135402017 144137631 170485370 192183508 204582444 240229385 255728055 262068420 270804034 288275262 340970740 406206051 480458770 511456110 528504647 541608068 576550524 677010085 720688155 812412102 960917540 1022912220 1057009294 1354020170 1441376310 1489422187 1585513941 1624824204 2031030255 2114018588 2642523235 2708040340 2882752620 2978844374 3171027882 4062060510 4468266561 5285046470 5957688748 6342055764 7447110935 7927569705 8124121020 8936533122 10570092940 14894221870 15855139410 16383644057 17873066244 19851964609 22341332805 29788443740 31710278820 32767288114 39703929218 44682665610 49150932171 59555893827 65534576228 79407858436 81918220285 89365331220 98301864342 99259823045 119111787654 163836440570 196603728684 198519646090 218371610699 238223575308 245754660855 297779469135 327672881140 397039292180 436743221398 491509321710 595558938270 615410902879 655114832097 873486442796 983018643420 1091858053495 1191117876540 1230821805758 1310229664194 1846232708637 2183716106990 2402087717689 2461643611516 2620459328388 3077054514395 3275574160485 3692465417274 4367432213980 4804175435378 6154109028790 6551148320970 6769519931669 7206263153067 7384930834548 9231163543185 9608350870756 12010438588445 12308218057580 13102296641940 13539039863338 14412526306134 18462327086370 19077737989249 20308559795007 24020877176890 27078079726676 28825052612268 33847599658345 36031315765335 36924654172740 38155475978498 40617119590014 48041754353780 57233213967747 67695199316690 72062631530670 74464719248359 76310951956996 81234239180028 95388689946245 101542798975035 114466427935494 135390398633380 144125263061340 148929438496718 190777379892490 203085597950070 209855117881739 223394157745077 228932855870988 286166069838735 297858876993436 372323596241795 381554759784980 406171195900140 419710235763478 446788315490154 572332139677470 629565353645217 744647192483590 839420471526956 893576630980308 1049275589408695 1116970788725385 1144664279354940 1259130707290434 1489294384967180 2098551178817390 2233941577450770 2308406296699129 2518261414580868 3147826768226085 4197102357634780 4467883154901540 4616812593398258 6295653536452170 6925218890097387 9233625186796516 11542031483495645 12591307072904340 13850437780194774 23084062966991290 27700875560389548 34626094450486935 46168125933982580 69252188900973870 138504377801947740
• Sum of all divisors σ(n): 440470417330269144
• Sum of proper divisors (its aliquot sum) s(n): 301966039528321404
• 138504377801947740 is an abundant number, because the sum of its proper divisors (301966039528321404) is greater than itself. Its abundance is 163461661726373664

Bases of 138504377801947740

• Binary: 111101100000100001111111101101110101110001011101001011100₂
• Hexadecimal: 0x1EC10FF6EB8BA5C
• Base-36: 11VRPCRM7UXO

Squares and roots of 138504377801947740

• 138504377801947740 squared (138504377801947740²) is 19183462670304673873636137691107600
• 138504377801947740 cubed (138504377801947740³) is 2656993561237439788881348299992622781677757916824000
• The square root of 138504377801947740 is 372161762.9498599363
• The cube root of 138504377801947740 is 517393.7364822743

Scales and comparisons

• 138,504,377,801,947,740 seconds is equal to 4,404,010,791 years, 48 weeks, 3 days, 6 hours, 49 minutes.
• To count from 1 to 138,504,377,801,947,740 would take you about thirteen billion, two hundred twelve million, thirty-two thousand, three hundred seventy-five 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 138504377801947740 cubic inches would be around 43116.1 feet tall.

Recreational maths with 138504377801947740

• 138504377801947740 backwards is 047749108773405831
• The number of decimal digits it has is: 18
• The sum of 138504377801947740's digits is 78
• More coming soon!