137389817174016

Names of 137389817174016

• Cardinal: 137389817174016 can be written as One hundred thirty-seven trillion, three hundred eighty-nine billion, eight hundred seventeen million, one hundred seventy-four thousand and sixteen.

Scientific notation

• Scientific notation: 1.37389817174016 × 10¹⁴

Factors of 137389817174016

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 19
• Sum of prime factors: 236

Divisors of 137389817174016

• Number of divisors d(n): 720
• Complete list of divisors:
  1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 89 96 121 128 131 132 176 178 192 242 256 262 264 267 352 356 363 384 393 484 512 524 528 534 704 712 726 768 786 968 979 1024 1048 1056 1068 1331 1408 1424 1441 1452 1536 1572 1936 1958 2048 2096 2112 2136 2662 2816 2848 2882 2904 2937 3072 3144 3872 3916 3993 4192 4224 4272 4323 5324 5632 5696 5764 5808 5874 6144 6288 7744 7832 7986 8384 8448 8544 8646 10648 10769 11264 11392 11528 11616 11659 11748 12576 14641 15488 15664 15851 15972 16768 16896 17088 17161 17292 21296 21538 22528 22784 23056 23232 23318 23496 25152 29282 30976 31328 31702 31944 32307 33536 33792 34176 34322 34584 34977 42592 43076 43923 45568 46112 46464 46636 46992 47553 50304 51483 58564 61952 62656 63404 63888 64614 67072 67584 68352 68644 69168 69954 85184 86152 87846 91136 92224 92928 93272 93984 95106 100608 102966 117128 118459 123904 125312 126808 127776 128249 129228 134144 136704 137288 138336 139908 170368 172304 174361 175692 182272 184448 185856 186544 187968 188771 190212 201216 205932 234256 236918 247808 250624 253616 255552 256498 258456 268288 273408 274576 276672 279816 340736 344608 348722 351384 355377 368896 371712 373088 375936 377542 380424 384747 402432 411864 468512 473836 501248 507232 511104 512996 516912 523083 546816 549152 553344 559632 566313 681472 689216 697444 702768 710754 737792 743424 746176 751872 755084 760848 769494 804864 823728 937024 947672 1002496 1014464 1022208 1025992 1033824 1046166 1098304 1106688 1119264 1132626 1303049 1362944 1378432 1394888 1405536 1410739 1421508 1475584 1492352 1503744 1510168 1521696 1527329 1538988 1647456 1874048 1895344 1917971 2004992 2028928 2044416 2051984 2067648 2076481 2092332 2196608 2213376 2238528 2265252 2606098 2725888 2756864 2789776 2811072 2821478 2843016 2951168 2984704 3007488 3020336 3043392 3054658 3077976 3294912 3748096 3790688 3835942 3909147 4057856 4088832 4103968 4135296 4152962 4184664 4232217 4393216 4426752 4477056 4530504 4581987 5212196 5513728 5579552 5622144 5642956 5686032 5753913 5969408 6014976 6040672 6086784 6109316 6155952 6229443 6589824 7496192 7581376 7671884 7818294 8115712 8177664 8207936 8270592 8305924 8369328 8464434 8786432 8853504 8954112 9061008 9163974 10424392 11027456 11159104 11244288 11285912 11372064 11507826 11938816 12081344 12173568 12218632 12311904 12458886 13179648 14992384 15162752 15343768 15518129 15636588 16231424 16415872 16541184 16611848 16738656 16800619 16928868 17572864 17908224 18122016 18327948 20848784 22054912 22318208 22488576 22571824 22744128 22841291 23015652 23877632 24162688 24347136 24437264 24623808 24917772 26359296 29984768 30325504 30687536 31036258 31273176 32462848 32831744 33082368 33223696 33477312 33601238 33857736 35145728 35816448 36244032 36655896 41697568 44636416 44977152 45143648 45488256 45682582 46031304 46554387 48325376 48694272 48874528 49247616 49835544 50401857 52718592 60651008 61375072 62072516 62546352 65663488 66164736 66447392 66954624 67202476 67715472 68523873 71632896 72488064 73311792 83395136 89272832 89954304 90287296 90976512 91365164 92062608 93108774 96650752 97388544 97749056 98495232 99671088 100803714 105437184 121302016 122750144 124145032 125092704 131326976 132894784 133909248 134404952 135430944 137047746 144976128 146623584 166790272 170699419 178545664 180574592 181953024 182730328 184125216 184806809 186217548 193301504 195498112 196990464 199342176 201607428 242604032 245500288 248290064 250185408 251254201 262653952 265789568 267818496 268809904 270861888 274095492 289952256 293247168 333580544 341398838 357091328 361149184 363906048 365460656 368250432 369613618 372435096 386603008 390996224 393980928 398684352 403214856 491000576 496580128 500370816 502508402 512098257 531579136 535636992 537619808 541723776 548190984 554420427 579904512 586494336 667161088 682797676 722298368 727812096 730921312 736500864 739227236 744870192 753762603 781992448 787961856 797368704 806429712 982001152 993160256 1000741632 1005016804 1024196514 1063158272 1071273984 1075239616 1083447552 1096381968 1108840854 1159809024 1172988672 1334322176 1365595352 1444596736 1461842624 1473001728 1478454472 1489740384 1507525206 1563984896 1594737408 1612859424 1964002304 1986320512 2001483264 2010033608 2032874899 2048393028 2126316544 2150479232 2166895104 2192763936 2217681708 2345977344 2668644352 2731190704 2889193472 2923685248 2946003456 2956908944 2979480768 3015050412 3127969792 3189474816 3225718848 3928004608 3972641024 4002966528 4020067216 4065749798 4096786056 4252633088 4300958464 4333790208 4385527872 4435363416 4691954688 5462381408 5847370496 5892006912 5913817888 5958961536 6030100824 6098624697 6378949632 6451437696 7945282048 8005933056 8040134432 8131499596 8193572112 8601916928 8667580416 8771055744 8870726832 9383909376 10924762816 11694740992 11784013824 11827635776 11917923072 12060201648 12197249394 12757899264 12902875392 15890564096 16080268864 16262999192 16387144224 17203833856 17542111488 17741453664 21849525632 22361623889 23389481984 23655271552 23835846144 24120403296 24394498788 25805750784 31781128192 32160537728 32525998384 32774288448 34407667712 35084222976 35482907328 43699051264 44723247778 46778963968 47310543104 47671692288 48240806592 48788997576 51611501568 64321075456 65051996768 65548576896 67084871667 70168445952 70965814656 87398102528 89446495556 94621086208 95343384576 96481613184 97577995152 103223003136 128642150912 130103993536 131097153792 134169743334 140336891904 141931629312 174796205056 178892991112 189242172416 192963226368 195155990304 257284301824 260207987072 262194307584 268339486668 283863258624 349592410112 357785982224 378484344832 385926452736 390311980608 514568603648 520415974144 524388615168 536678973336 567726517248 715571964448 771852905472 780623961216 1040831948288 1048777230336 1073357946672 1135453034496 1431143928896 1543705810944 1561247922432 2081663896576 2146715893344 2862287857792 3122495844864 4163327793152 4293431786688 5724575715584 6244991689728 8586863573376 11449151431168 12489983379456 17173727146752 22898302862336 34347454293504 45796605724672 68694908587008 137389817174016
• Sum of all divisors σ(n): 410570250363000
• Sum of proper divisors (its aliquot sum) s(n): 273180433188984
• 137389817174016 is an abundant number, because the sum of its proper divisors (273180433188984) is greater than itself. Its abundance is 135790616014968

Bases of 137389817174016

• Binary: 11111001111010010001111001111111001100000000000₂
• Hexadecimal: 0x7CF48F3F9800
• Base-36: 1CP80DUFPC

Squares and roots of 137389817174016

• 137389817174016 squared (137389817174016²) is 18875961863109541820425568256
• 137389817174016 cubed (137389817174016³) is 2593364949356318381232985714236024837636096
• The square root of 137389817174016 is 11721340.2464912689
• The cube root of 137389817174016 is 51600.2154776893

Scales and comparisons

• 137,389,817,174,016 seconds is equal to 4,368,571 years, 10 weeks, 6 days, 23 hours, 53 minutes, 36 seconds.
• To count from 1 to 137,389,817,174,016 would take you about ten million, nine hundred twenty-one thousand, four hundred twenty-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 137389817174016 cubic inches would be around 4300 feet tall.

Recreational maths with 137389817174016

• 137389817174016 backwards is 610471718983731
• 137389817174016 is a Harshad number.
• The number of decimal digits it has is: 15
• The sum of 137389817174016's digits is 66
• More coming soon!