137164213004009472

Names of 137164213004009472

• Cardinal: 137164213004009472 can be written as One hundred thirty-seven quadrillion, one hundred sixty-four trillion, two hundred thirteen billion, four million, nine thousand, four hundred seventy-two.

Scientific notation

• Scientific notation: 1.37164213004009472 × 10¹⁷

Factors of 137164213004009472

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 45
• Sum of prime factors: 42

Divisors of 137164213004009472

• Number of divisors d(n): 798
• Complete list of divisors:
  1 2 3 4 6 8 9 12 16 18 24 27 32 36 37 48 54 64 72 74 81 96 108 111 128 144 148 162 192 216 222 243 256 288 296 324 333 384 432 444 486 512 576 592 648 666 729 768 864 888 972 999 1024 1152 1184 1296 1332 1369 1458 1536 1728 1776 1944 1998 2048 2304 2368 2592 2664 2738 2916 2997 3072 3456 3552 3888 3996 4096 4107 4608 4736 5184 5328 5476 5832 5994 6144 6912 7104 7776 7992 8192 8214 8991 9216 9472 10368 10656 10952 11664 11988 12288 12321 13824 14208 15552 15984 16384 16428 17982 18432 18944 20736 21312 21904 23328 23976 24576 24642 26973 27648 28416 31104 31968 32768 32856 35964 36864 36963 37888 41472 42624 43808 46656 47952 49152 49284 53946 55296 56832 62208 63936 65536 65712 71928 73728 73926 75776 82944 85248 87616 93312 95904 98304 98568 107892 110592 110889 113664 124416 127872 131072 131424 143856 147456 147852 151552 165888 170496 175232 186624 191808 196608 197136 215784 221184 221778 227328 248832 255744 262144 262848 287712 294912 295704 303104 331776 332667 340992 350464 373248 383616 393216 394272 431568 442368 443556 454656 497664 511488 524288 525696 575424 589824 591408 606208 663552 665334 681984 700928 746496 767232 786432 788544 863136 884736 887112 909312 995328 998001 1022976 1048576 1051392 1150848 1179648 1182816 1212416 1327104 1330668 1363968 1401856 1492992 1534464 1572864 1577088 1726272 1769472 1774224 1818624 1990656 1996002 2045952 2097152 2102784 2301696 2359296 2365632 2424832 2654208 2661336 2727936 2803712 2985984 3068928 3145728 3154176 3452544 3538944 3548448 3637248 3981312 3992004 4091904 4194304 4205568 4603392 4718592 4731264 4849664 5308416 5322672 5455872 5607424 5971968 6137856 6291456 6308352 6905088 7077888 7096896 7274496 7962624 7984008 8183808 8388608 8411136 9206784 9437184 9462528 9699328 10616832 10645344 10911744 11214848 11943936 12275712 12582912 12616704 13810176 14155776 14193792 14548992 15925248 15968016 16367616 16777216 16822272 18413568 18874368 18925056 19398656 21233664 21290688 21823488 22429696 23887872 24551424 25165824 25233408 27620352 28311552 28387584 29097984 31850496 31936032 32735232 33554432 33644544 36827136 37748736 37850112 38797312 42467328 42581376 43646976 44859392 47775744 49102848 50331648 50466816 55240704 56623104 56775168 58195968 63700992 63872064 65470464 67108864 67289088 73654272 75497472 75700224 77594624 84934656 85162752 87293952 89718784 95551488 98205696 100663296 100933632 110481408 113246208 113550336 116391936 127401984 127744128 130940928 134217728 134578176 147308544 150994944 151400448 155189248 169869312 170325504 174587904 179437568 191102976 196411392 201326592 201867264 220962816 226492416 227100672 232783872 254803968 255488256 261881856 268435456 269156352 294617088 301989888 302800896 310378496 339738624 340651008 349175808 358875136 382205952 392822784 402653184 403734528 441925632 452984832 454201344 465567744 509607936 510976512 523763712 536870912 538312704 589234176 603979776 605601792 620756992 679477248 681302016 698351616 717750272 764411904 785645568 805306368 807469056 883851264 905969664 908402688 931135488 1019215872 1021953024 1047527424 1073741824 1076625408 1178468352 1207959552 1211203584 1241513984 1358954496 1362604032 1396703232 1435500544 1528823808 1571291136 1610612736 1614938112 1767702528 1811939328 1816805376 1862270976 2038431744 2043906048 2095054848 2147483648 2153250816 2356936704 2415919104 2422407168 2483027968 2717908992 2725208064 2793406464 2871001088 3057647616 3142582272 3221225472 3229876224 3535405056 3623878656 3633610752 3724541952 4076863488 4087812096 4190109696 4294967296 4306501632 4713873408 4831838208 4844814336 4966055936 5435817984 5450416128 5586812928 5742002176 6115295232 6285164544 6442450944 6459752448 7070810112 7247757312 7267221504 7449083904 8153726976 8175624192 8380219392 8589934592 8613003264 9427746816 9663676416 9689628672 9932111872 10871635968 10900832256 11173625856 11484004352 12230590464 12570329088 12884901888 12919504896 14141620224 14495514624 14534443008 14898167808 16307453952 16351248384 16760438784 17179869184 17226006528 18855493632 19327352832 19379257344 19864223744 21743271936 21801664512 22347251712 22968008704 24461180928 25140658176 25769803776 25839009792 28283240448 28991029248 29068886016 29796335616 32614907904 32702496768 33520877568 34359738368 34452013056 37710987264 38654705664 38758514688 39728447488 43486543872 43603329024 44694503424 45936017408 48922361856 50281316352 51539607552 51678019584 56566480896 57982058496 58137772032 59592671232 65229815808 65404993536 67041755136 68719476736 68904026112 75421974528 77309411328 77517029376 79456894976 86973087744 87206658048 89389006848 91872034816 97844723712 100562632704 103079215104 103356039168 113132961792 115964116992 116275544064 119185342464 130459631616 130809987072 134083510272 137438953472 137808052224 150843949056 154618822656 155034058752 158913789952 173946175488 174413316096 178778013696 183744069632 195689447424 201125265408 206158430208 206712078336 226265923584 231928233984 232551088128 238370684928 260919263232 261619974144 268167020544 275616104448 301687898112 309237645312 310068117504 317827579904 347892350976 348826632192 357556027392 367488139264 391378894848 402250530816 412316860416 413424156672 452531847168 463856467968 465102176256 476741369856 521838526464 523239948288 536334041088 551232208896 603375796224 618475290624 620136235008 635655159808 695784701952 697653264384 715112054784 734976278528 782757789696 804501061632 826848313344 905063694336 927712935936 930204352512 953482739712 1043677052928 1046479896576 1072668082176 1102464417792 1206751592448 1236950581248 1240272470016 1271310319616 1391569403904 1395306528768 1430224109568 1469952557056 1565515579392 1609002123264 1653696626688 1810127388672 1855425871872 1860408705024 1906965479424 2087354105856 2092959793152 2145336164352 2204928835584 2413503184896 2480544940032 2542620639232 2783138807808 2790613057536 2860448219136 2939905114112 3131031158784 3218004246528 3307393253376 3620254777344 3710851743744 3720817410048 3813930958848 4174708211712 4185919586304 4290672328704 4409857671168 4827006369792 4961089880064 5085241278464 5566277615616 5581226115072 5720896438272 5879810228224 6262062317568 6436008493056 6614786506752 7240509554688 7441634820096 7627861917696 8349416423424 8371839172608 8581344657408 8819715342336 9654012739584 9922179760128 11132555231232 11162452230144 11441792876544 11759620456448 12524124635136 12872016986112 13229573013504 14481019109376 14883269640192 15255723835392 16698832846848 16743678345216 17162689314816 17639430684672 19308025479168 19844359520256 22324904460288 22883585753088 23519240912896 25048249270272 25744033972224 26459146027008 28962038218752 29766539280384 33397665693696 33487356690432 34325378629632 35278861369344 38616050958336 39688719040512 44649808920576 45767171506176 47038481825792 50096498540544 51488067944448 52918292054016 57924076437504 59533078560768 66974713380864 68650757259264 70557722738688 77232101916672 79377438081024 89299617841152 94076963651584 100192997081088 102976135888896 105836584108032 115848152875008 119066157121536 133949426761728 137301514518528 141115445477376 154464203833344 158754876162048 178599235682304 188153927303168 205952271777792 211673168216064 231696305750016 238132314243072 267898853523456 282230890954752 308928407666688 317509752324096 357198471364608 411904543555584 423346336432128 463392611500032 476264628486144 535797707046912 564461781909504 617856815333376 635019504648192 714396942729216 846692672864256 926785223000064 952529256972288 1071595414093824 1235713630666752 1270039009296384 1428793885458432 1693385345728512 1853570446000128 1905058513944576 2143190828187648 2540078018592768 2857587770916864 3707140892000256 3810117027889152 4286381656375296 5080156037185536 5715175541833728 7620234055778304 8572763312750592 11430351083667456 15240468111556608 17145526625501184 22860702167334912 34291053251002368 45721404334669824 68582106502004736 137164213004009472
• Sum of all divisors σ(n): 422721264070199493
• Sum of proper divisors (its aliquot sum) s(n): 285557051066190021
• 137164213004009472 is an abundant number, because the sum of its proper divisors (285557051066190021) is greater than itself. Its abundance is 148392838062180549

Bases of 137164213004009472

• Binary: 111100111010011100010000000000000000000000000000000000000₂
• Hexadecimal: 0x1E74E2000000000
• Base-36: 11IKNLK3K000

Squares and roots of 137164213004009472

• 137164213004009472 squared (137164213004009472²) is 18814021329009281142867147865718784
• 137164213004009472 cubed (137164213004009472³) is 2580610429034206409383178401038400515764451224322048
• The square root of 137164213004009472 is 370356872.4946378959
• The cube root of 137164213004009472 is 515719.5622296757

Scales and comparisons

• 137,164,213,004,009,472 seconds is equal to 4,361,397,696 years, 39 weeks, 3 days, 11 hours, 31 minutes, 12 seconds.
• To count from 1 to 137,164,213,004,009,472 would take you about thirteen billion, eighty-four million, one hundred ninety-three thousand and ninety 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 137164213004009472 cubic inches would be around 42976.6 feet tall.

Recreational maths with 137164213004009472

• 137164213004009472 backwards is 274900400312461731
• 137164213004009472 is a Harshad number.
• The number of decimal digits it has is: 18
• The sum of 137164213004009472's digits is 54
• More coming soon!