137742469920

Names of 137742469920

• Cardinal: 137742469920 can be written as One hundred thirty-seven billion, seven hundred forty-two million, four hundred sixty-nine thousand, nine hundred twenty.

Scientific notation

• Scientific notation: 1.3774246992 × 10¹¹

Factors of 137742469920

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 16
• Sum of prime factors: 130

Divisors of 137742469920

• Number of divisors d(n): 1728
• Complete list of divisors:
  1 2 3 4 5 6 8 9 10 11 12 15 16 18 19 20 22 23 24 27 30 32 33 36 38 40 44 45 46 48 54 55 57 60 66 67 69 72 76 80 81 88 90 92 95 96 99 108 110 114 115 120 121 132 134 135 138 144 152 160 162 165 171 176 180 184 190 198 201 207 209 216 220 228 230 240 242 243 253 264 268 270 276 285 288 297 304 324 330 335 342 345 352 360 363 368 380 396 402 405 414 418 432 437 440 456 460 480 484 486 495 506 513 528 536 540 552 570 594 603 605 608 621 627 648 660 670 684 690 720 726 736 737 759 760 792 804 810 828 836 855 864 874 880 891 912 920 968 972 990 1005 1012 1026 1035 1045 1056 1072 1080 1089 1104 1140 1188 1206 1210 1215 1242 1254 1265 1273 1296 1311 1320 1340 1368 1380 1440 1452 1474 1485 1518 1520 1539 1541 1584 1608 1620 1656 1672 1710 1748 1760 1782 1809 1815 1824 1840 1863 1881 1936 1944 1980 2010 2024 2052 2070 2090 2144 2160 2178 2185 2208 2211 2277 2280 2299 2376 2412 2420 2430 2484 2508 2530 2546 2565 2592 2622 2640 2673 2680 2736 2760 2783 2904 2948 2970 3015 3036 3040 3078 3082 3105 3135 3168 3216 3240 3267 3312 3344 3420 3496 3564 3618 3630 3680 3685 3726 3762 3795 3819 3872 3888 3933 3960 4020 4048 4104 4140 4180 4320 4356 4370 4422 4455 4554 4560 4598 4617 4623 4752 4807 4824 4840 4860 4968 5016 5060 5092 5130 5244 5280 5346 5360 5427 5445 5472 5520 5566 5589 5643 5808 5896 5940 6030 6072 6156 6164 6210 6270 6365 6432 6480 6534 6555 6624 6633 6688 6831 6840 6897 6992 7128 7236 7260 7370 7452 7524 7590 7638 7695 7705 7776 7866 7920 8040 8096 8107 8208 8280 8349 8360 8712 8740 8844 8910 9045 9108 9120 9196 9234 9246 9315 9405 9504 9614 9648 9680 9720 9801 9936 10032 10120 10184 10260 10488 10692 10720 10854 10890 11040 11055 11132 11178 11286 11385 11457 11495 11616 11792 11799 11880 12060 12144 12312 12328 12420 12540 12730 12960 13068 13110 13266 13365 13662 13680 13794 13869 13915 13984 14003 14256 14421 14472 14520 14740 14904 15048 15180 15276 15390 15410 15732 15840 16080 16214 16281 16335 16416 16560 16698 16720 16929 16951 17424 17480 17688 17820 18090 18216 18392 18468 18492 18630 18810 19095 19228 19296 19360 19440 19602 19665 19872 19899 20064 20240 20368 20493 20520 20691 20976 21384 21708 21780 22110 22264 22356 22572 22770 22914 22990 23085 23115 23584 23598 23760 24035 24120 24288 24321 24624 24656 24840 25047 25080 25460 26136 26220 26532 26730 27135 27324 27360 27588 27738 27830 27945 28006 28215 28512 28842 28944 29040 29279 29403 29480 29808 30096 30360 30552 30780 30820 31464 32160 32428 32562 32670 33120 33165 33396 33440 33858 33902 34155 34371 34485 34848 34960 35376 35397 35640 36180 36432 36784 36936 36984 37260 37620 38190 38456 38880 39204 39330 39798 40480 40535 40736 40986 41040 41382 41607 41745 41952 42009 42768 43263 43416 43560 44220 44528 44712 45144 45540 45828 45980 46170 46230 47196 47520 48070 48240 48642 49005 49248 49312 49680 50094 50160 50787 50853 50920 52272 52440 52877 53064 53460 54270 54648 55176 55476 55660 55890 56012 56430 57285 57684 57888 58080 58558 58806 58960 58995 59616 59697 60192 60720 61104 61479 61560 61640 62073 62928 64856 65124 65340 66330 66792 67716 67804 68310 68742 68970 69345 69920 70015 70752 70794 71280 72105 72360 72864 72963 73568 73872 73968 74520 75141 75240 76380 76912 78408 78660 79596 81070 81405 81972 82080 82764 83214 83490 84018 84645 84755 85536 86526 86832 87120 87837 88440 89056 89424 90288 91080 91656 91960 92340 92460 94392 96140 96480 97284 98010 99360 99495 100188 100320 101574 101706 101840 102465 103113 103455 104544 104880 105754 106128 106191 106920 108540 109296 110352 110952 111320 111780 112024 112860 114570 115368 117116 117612 117920 117990 119394 121440 121605 122208 122958 123120 123280 124146 124821 125235 125856 126027 129712 129789 130248 130680 132660 133584 135432 135608 136620 137484 137940 138690 140030 141588 142560 144210 144720 145926 146395 147015 147744 147936 149040 150282 150480 152559 152760 153824 154033 156816 157320 158631 159192 162140 162810 163944 165528 166428 166980 168036 169290 169510 171855 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54921240 55451880 56684144 56918376 57107160 57972420 59914080 60413364 60492960 62298720 62383365 63040032 63242640 63769662 64245555 65905488 66542256 67125960 68054580 68528592 69566904 70855180 71147970 73228320 73935840 74860038 75516705 75891168 76142880 77296560 78262767 78800040 80551152 82381860 83177820 85026216 85660740 86958630 89385120 89501280 90620046 90739440 92755872 93448080 94863960 95654493 99813384 100688940 102792888 104350356 105066720 106282770 108203040 108887328 109842480 110903760 113368288 113836752 114214320 115944840 120826728 124766730 126485280 127539324 128491110 130437945 131810976 133084512 134251920 136109160 137057184 139133808 141710360 142295940 149720076 151033410 154593120 156525534 157600080 159424155 161102304 164763720 166355640 170052432 171321480 173917260 181240092 181478880 186896160 187150095 189727920 191308986 199626768 201377880 205585776 208700712 212565540 219684960 221807520 226550115 227673504 228428640 231889680 241653456 249533460 255078648 256982220 260875890 268503840 272218320 278267616 283420720 284591880 286963479 299440152 302066820 313051068 315200160 318848310 329527440 332711280 340104864 342642960 347834520 362480184 374300190 379455840 382617972 391313835 399253536 402755760 411171552 417401424 425131080 453100230 463779360 478272465 483306912 499066920 510157296 513964440 521751780 544436640 566841440 569183760 573926958 598880304 604133640 626102136 637696620 659054880 665422560 685285920 695669040 724960368 748600380 765235944 782627670 805511520 834802848 850262160 860890437 906200460 956544930 998133840 1020314592 1027928880 1043503560 1138367520 1147853916 1197760608 1208267280 1252204272 1275393240 1391338080 1434817395 1449920736 1497200760 1530471888 1565255340 1700524320 1721780874 1812400920 1913089860 1996267680 2055857760 2087007120 2295707832 2416534560 2504408544 2550786480 2869634790 2994401520 3060943776 3130510680 3443561748 3624801840 3826179720 4174014240 4304452185 4591415664 5101572960 5739269580 5988803040 6261021360 6887123496 7249603680 7652359440 8608904370 9182831328 11478539160 12522042720 13774246992 15304718880 17217808740 22957078320 27548493984 34435617480 45914156640 68871234960 137742469920
• Sum of all divisors σ(n): 597303383040
• Sum of proper divisors (its aliquot sum) s(n): 459560913120
• 137742469920 is an abundant number, because the sum of its proper divisors (459560913120) is greater than itself. Its abundance is 321818443200

Bases of 137742469920

• Binary: 10000000010010000101110100101100100000₂
• Hexadecimal: 0x2012174B20
• Base-36: 1RA0B600

Squares and roots of 137742469920

• 137742469920 squared (137742469920²) is 18972988019662104806400
• 137742469920 cubed (137742469920³) is 2613386231590827839859439423488000
• The square root of 137742469920 is 371136.7267194127
• The cube root of 137742469920 is 5164.4326972213

Scales and comparisons

• 137,742,469,920 seconds is equal to 4,379 years, 40 weeks, 5 days, 13 hours, 12 minutes.
• To count from 1 to 137,742,469,920 would take you about eight thousand, seven hundred fifty-nine 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 137742469920 cubic inches would be around 430.4 feet tall.

Recreational maths with 137742469920

• 137742469920 backwards is 029964247731
• 137742469920 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 137742469920's digits is 54
• More coming soon!