137561137713120

Names of 137561137713120

• Cardinal: 137561137713120 can be written as One hundred thirty-seven trillion, five hundred sixty-one billion, one hundred thirty-seven million, seven hundred thirteen thousand, one hundred twenty.

Scientific notation

• Scientific notation: 1.3756113771312 × 10¹⁴

Factors of 137561137713120

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 1249

Divisors of 137561137713120

• Number of divisors d(n): 648
• Complete list of divisors:
  1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 41 44 48 55 60 66 80 82 88 96 110 120 121 123 132 160 164 165 176 205 220 240 242 246 264 328 330 352 363 410 440 451 480 484 492 528 605 615 656 660 726 820 880 902 968 984 1056 1187 1210 1230 1312 1320 1353 1452 1640 1681 1760 1804 1815 1936 1968 2255 2374 2420 2460 2640 2706 2904 3280 3362 3561 3608 3630 3872 3936 4510 4748 4840 4920 4961 5043 5280 5412 5808 5935 6560 6724 6765 7122 7216 7260 8405 9020 9496 9680 9840 9922 10086 10824 11616 11870 13057 13448 13530 14244 14432 14520 14883 16810 17805 18040 18491 18992 19360 19680 19844 20172 21648 23740 24805 25215 26114 26896 27060 28488 29040 29766 33620 35610 36080 36982 37984 39171 39688 40344 43296 47480 48667 49610 50430 52228 53792 54120 55473 56976 58080 59532 65285 67240 71220 72160 73964 74415 78342 79376 80688 92455 94960 97334 99220 100860 104456 108240 110946 113952 119064 130570 134480 142440 143627 146001 147928 148830 156684 158752 161376 184910 189920 194668 195855 198440 201720 203401 208912 216480 221892 238128 243335 261140 268960 277365 284880 287254 292002 295856 297660 313368 369820 389336 391710 396880 403440 406802 417824 430881 443784 476256 486670 522280 535337 554730 569760 574508 584004 591712 595320 610203 626736 718135 730005 739640 778672 783420 793760 806880 813604 861762 887568 973340 1017005 1044560 1070674 1109460 1149016 1168008 1190640 1220406 1253472 1408969 1436270 1460010 1479280 1557344 1566840 1606011 1627208 1723524 1775136 1946680 1995347 2034010 2089120 2141348 2154405 2218920 2298032 2336016 2381280 2440812 2676685 2817938 2872540 2920020 2958560 3051015 3133680 3212022 3254416 3447048 3893360 3990694 4068020 4226907 4282696 4308810 4437840 4596064 4672032 4881624 5353370 5635876 5745080 5840040 5888707 5986041 6102030 6267360 6424044 6508832 6894096 7044845 7786720 7981388 8030055 8136040 8453814 8565392 8617620 8875680 9763248 9976735 10706740 11271752 11490160 11680080 11777414 11972082 12204060 12848088 13788192 14089690 15498659 15962776 16060110 16272080 16907628 17130784 17235240 17666121 19526496 19953470 21134535 21413480 21948817 22543504 22980320 23360160 23554828 23944164 24408120 25696176 28179380 29443535 29930205 30997318 31925552 32120220 32544160 33815256 34470480 35332242 39906940 42269070 42826960 43897634 45087008 46495977 47109656 47888328 48816240 51392352 56358760 57767729 58887070 59860410 61994636 63851104 64240440 65846451 67630512 68940960 70664484 77493295 79813880 84538140 85653920 87795268 88330605 92991954 94219312 95776656 97632480 109744085 112717520 115535458 117774140 119720820 123989272 128480880 131692902 135261024 141328968 154986590 159627760 169076280 170485249 173303187 175590536 176661210 185983908 188438624 191553312 219488170 225435040 231070916 232479885 235548280 239441640 241436987 247978544 256961760 263385804 282657936 288838645 309973180 319255520 329232255 338152560 340970498 346606374 351181072 353322420 371967816 438976340 462141832 464959770 471096560 478883280 482873974 495957088 511455747 526771608 565315872 577677290 619946360 635445019 658464510 676305120 681940996 693212748 702362144 706644840 724310961 743935632 852426245 866515935 877952680 924283664 929919540 942193120 957766560 965747948 1022911494 1053543216 1155354580 1207184935 1239892720 1270890038 1316929020 1363881992 1386425496 1413289680 1448621922 1487871264 1704852490 1733031870 1755905360 1848567328 1859839080 1906335057 1931495896 2045822988 2107086432 2310709160 2368476889 2414369870 2479785440 2541780076 2557278735 2633858040 2727763984 2772850992 2826579360 2897243844 3177225095 3409704980 3466063740 3511810720 3621554805 3719678160 3812670114 3862991792 4091645976 4621418320 4736953778 4828739740 5083560152 5114557470 5267716080 5455527968 5545701984 5794487688 6354450190 6819409960 6932127480 6989895209 7105430667 7243109610 7439356320 7625340228 7725983584 8183291952 9242836640 9473907556 9531675285 9657479480 10167120304 10229114940 10535432160 11588975376 11842384445 12708900380 13638819920 13864254960 13979790418 14210861334 14486219220 15250680456 16366583904 18947815112 19063350570 19314958960 20334240608 20458229880 20969685627 23177950752 23684768890 25417800760 26053245779 27277639840 27728509920 27959580836 28421722668 28972438440 30501360912 34949476045 35527153335 37895630224 38126701140 38629917920 40916459760 41939371254 47369537780 50835601520 52106491558 55919161672 56843445336 57944876880 61002721824 69898952090 71054306670 75791260448 76253402280 78159737337 81832919520 83878742508 94739075560 101671203040 104212983116 104848428135 111838323344 113686890672 115889753760 130266228895 139797904180 142108613340 152506804560 156319474674 167757485016 189478151120 208425966232 209696856270 223676646688 227373781344 260532457790 279595808360 284217226680 286585703569 305013609120 312638949348 335514970032 378956302240 390798686685 416851932464 419393712540 521064915580 559191616720 568434453360 573171407138 625277898696 671029940064 781597373370 833703864928 838787425080 859757110707 1042129831160 1118383233440 1136868906720 1146342814276 1250555797392 1432928517845 1563194746740 1677574850160 1719514221414 2084259662320 2292685628552 2501111594784 2865857035690 3126389493480 3355149700320 3439028442828 4168519324640 4298785553535 4585371257104 5731714071380 6252778986960 6878056885656 8597571107070 9170742514208 11463428142760 12505557973920 13756113771312 17195142214140 22926856285520 27512227542624 34390284428280 45853712571040 68780568856560 137561137713120
• Sum of all divisors σ(n): 488603053960056
• Sum of proper divisors (its aliquot sum) s(n): 351041916246936
• 137561137713120 is an abundant number, because the sum of its proper divisors (351041916246936) is greater than itself. Its abundance is 213480778533816

Bases of 137561137713120

• Binary: 11111010001110001110010101111111000111111100000₂
• Hexadecimal: 0x7D1C72BF8FE0
• Base-36: 1CREPPO5PC

Squares and roots of 137561137713120

• 137561137713120 squared (137561137713120²) is 18923066608927965543420134400
• 137561137713120 cubed (137561137713120³) is 2603078571745282551408407345080579043328000
• The square root of 137561137713120 is 11728646.0306857245
• The cube root of 137561137713120 is 51621.6544872407

Scales and comparisons

• 137,561,137,713,120 seconds is equal to 4,374,018 years, 35 weeks, 14 hours, 32 minutes.
• To count from 1 to 137,561,137,713,120 would take you about ten million, nine hundred thirty-five thousand and forty-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 137561137713120 cubic inches would be around 4301.8 feet tall.

Recreational maths with 137561137713120

• 137561137713120 backwards is 021317731165731
• 137561137713120 is a Harshad number.
• The number of decimal digits it has is: 15
• The sum of 137561137713120's digits is 48
• More coming soon!