137122042947305472
137,122,042,947,305,472 is an even composite number composed of four prime numbers multiplied together.
What does the number 137122042947305472 look like?
This visualization shows the relationship between its 4 prime factors (large circles) and 1242 divisors.
137122042947305472 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of one thousand, two hundred forty-two divisors.
Prime factorization of 137122042947305472:
222 × 35 × 72 × 16572
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 7 × 7 × 1657 × 1657)See below for interesting mathematical facts about the number 137122042947305472 from the Numbermatics database.
Names of 137122042947305472
- Cardinal: 137122042947305472 can be written as One hundred thirty-seven quadrillion, one hundred twenty-two trillion, forty-two billion, nine hundred forty-seven million, three hundred five thousand, four hundred seventy-two.
Scientific notation
- Scientific notation: 1.37122042947305472 × 1017
Factors of 137122042947305472
Divisors of 137122042947305472
- Number of divisors d(n): 1242
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 49 54 56 63 64 72 81 84 96 98 108 112 126 128 144 147 162 168 189 192 196 216 224 243 252 256 288 294 324 336 378 384 392 432 441 448 486 504 512 567 576 588 648 672 756 768 784 864 882 896 972 1008 1024 1134 1152 1176 1296 1323 1344 1512 1536 1568 1657 1701 1728 1764 1792 1944 2016 2048 2268 2304 2352 2592 2646 2688 3024 3072 3136 3314 3402 3456 3528 3584 3888 3969 4032 4096 4536 4608 4704 4971 5184 5292 5376 6048 6144 6272 6628 6804 6912 7056 7168 7776 7938 8064 8192 9072 9216 9408 9942 10368 10584 10752 11599 11907 12096 12288 12544 13256 13608 13824 14112 14336 14913 15552 15876 16128 16384 18144 18432 18816 19884 20736 21168 21504 23198 23814 24192 24576 25088 26512 27216 27648 28224 28672 29826 31104 31752 32256 32768 34797 36288 36864 37632 39768 41472 42336 43008 44739 46396 47628 48384 49152 50176 53024 54432 55296 56448 57344 59652 62208 63504 64512 65536 69594 72576 73728 75264 79536 81193 82944 84672 86016 89478 92792 95256 96768 98304 100352 104391 106048 108864 110592 112896 114688 119304 124416 127008 129024 131072 134217 139188 145152 147456 150528 159072 162386 165888 169344 172032 178956 185584 190512 193536 196608 200704 208782 212096 217728 221184 225792 229376 238608 243579 248832 254016 258048 262144 268434 278376 290304 294912 301056 313173 318144 324772 331776 338688 344064 357912 371168 381024 387072 393216 401408 402651 417564 424192 435456 442368 451584 458752 477216 487158 497664 508032 516096 524288 536868 556752 580608 589824 602112 626346 636288 649544 663552 677376 688128 715824 730737 742336 762048 774144 786432 802816 805302 835128 848384 870912 884736 903168 917504 939519 954432 974316 995328 1016064 1032192 1048576 1073736 1113504 1161216 1179648 1204224 1252692 1272576 1299088 1327104 1354752 1376256 1431648 1461474 1484672 1524096 1548288 1572864 1605632 1610604 1670256 1696768 1741824 1769472 1806336 1835008 1879038 1908864 1948632 1990656 2032128 2064384 2097152 2147472 2192211 2227008 2322432 2359296 2408448 2505384 2545152 2598176 2654208 2709504 2745649 2752512 2818557 2863296 2922948 2969344 3048192 3096576 3145728 3211264 3221208 3340512 3393536 3483648 3538944 3612672 3670016 3758076 3817728 3897264 3981312 4064256 4128768 4194304 4294944 4384422 4454016 4644864 4718592 4816896 5010768 5090304 5196352 5308416 5419008 5491298 5505024 5637114 5726592 5845896 5938688 6096384 6193152 6291456 6422528 6442416 6576633 6681024 6787072 6967296 7077888 7225344 7340032 7516152 7635456 7794528 7962624 8128512 8236947 8257536 8589888 8768844 8908032 9289728 9437184 9633792 10021536 10180608 10392704 10616832 10838016 10982596 11010048 11274228 11453184 11691792 11877376 12192768 12386304 12582912 12845056 12884832 13153266 13362048 13574144 13934592 14155776 14450688 14680064 15032304 15270912 15589056 15925248 16257024 16473894 16515072 17179776 17537688 17816064 18579456 18874368 19219543 19267584 19729899 20043072 20361216 20785408 21233664 21676032 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127705546752 130769770572 132845481216 134954139648 137765684224 140736724992 143668740096 145949196288 149451166368 151823407104 154986394752 157446496256 161627332608 164192845824 170274062336 170801332992 174359694096 177127308288 179938852864 184716951552 187648966656 191558320128 199268221824 202431209472 206648526336 211105087488 215503110144 218923794432 227735110656 232479592128 236169744384 246289268736 255411093504 261539541144 265690962432 269908279296 275531368448 281473449984 287337480192 298902332736 303646814208 309972789504 314892992512 323254665216 328385691648 340548124672 341602665984 348719388192 354254616576 359877705728 369433903104 383116640256 398536443648 404862418944 413297052672 422210174976 431006220288 437847588864 455470221312 464959184256 472339488768 492578537472 510822187008 523079082288 531381924864 539816558592 551062736896 562946899968 574674960384 597804665472 607293628416 619945579008 629785985024 646509330432 656771383296 683205331968 697438776384 708509233152 719755411456 738867806208 766233280512 797072887296 809724837888 826594105344 844420349952 862012440576 910940442624 929918368512 944678977536 985157074944 1021644374016 1046158164576 1062763849728 1079633117184 1102125473792 1149349920768 1195609330944 1214587256832 1239891158016 1259571970048 1293018660864 1313542766592 1366410663936 1394877552768 1417018466304 1439510822912 1477735612416 1532466561024 1594145774592 1619449675776 1653188210688 1688840699904 1724024881152 1821880885248 1859836737024 1889357955072 1970314149888 2092316329152 2125527699456 2159266234368 2204250947584 2298699841536 2391218661888 2429174513664 2479782316032 2519143940096 2586037321728 2732821327872 2789755105536 2834036932608 2879021645824 2955471224832 3064933122048 3188291549184 3238899351552 3306376421376 3448049762304 3643761770496 3719673474048 3778715910144 3940628299776 4184632658304 4251055398912 4318532468736 4408501895168 4597399683072 4782437323776 4858349027328 4959564632064 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51822389624832 52902022742016 58300188327936 59514775584768 60459454562304 66954122532864 68016886382592 70536030322688 76518997180416 77733584437248 79353034113024 80612606083072 82753194295296 87450282491904 89272163377152 90689181843456 102025329573888 103644779249664 105804045484032 116600376655872 119029551169536 120918909124608 133908245065728 136033772765184 141072060645376 153037994360832 155467168874496 158706068226048 174900564983808 178544326754304 181378363686912 204050659147776 211608090968064 233200753311744 238059102339072 241837818249216 267816490131456 272067545530368 282144121290752 306075988721664 310934337748992 317412136452096 349801129967616 357088653508608 362756727373824 408101318295552 423216181936128 466401506623488 476118204678144 535632980262912 544135091060736 564288242581504 612151977443328 634824272904192 699602259935232 714177307017216 725513454747648 816202636591104 846432363872256 932803013246976 952236409356288 1071265960525824 1088270182121472 1224303954886656 1269648545808384 1399204519870464 1428354614034432 1632405273182208 1692864727744512 1904472818712576 2142531921051648 2176540364242944 2448607909773312 2539297091616768 2798409039740928 2856709228068864 3264810546364416 3808945637425152 4285063842103296 4897215819546624 5078594183233536 5713418456137728 6529621092728832 7617891274850304 8570127684206592 9794431639093248 11426836912275456 15235782549700608 17140255368413184 19588863278186496 22853673824550912 34280510736826368 45707347649101824 68561021473652736 137122042947305472
- Sum of all divisors σ(n): 478160041518029052
- Sum of proper divisors (its aliquot sum) s(n): 341037998570723580
- 137122042947305472 is an abundant number, because the sum of its proper divisors (341037998570723580) is greater than itself. Its abundance is 203915955623418108
Bases of 137122042947305472
- Binary: 1111001110010011111000101100001001100000000000000000000002
- Hexadecimal: 0x1E727C584C00000
- Base-36: 11I5PGWGLC00
Squares and roots of 137122042947305472
- 137122042947305472 squared (1371220429473054722) is 18802454662042686334215305281142784
- 137122042947305472 cubed (1371220429473054723) is 2578230995683381229698044589785462154621985696514048
-
The
square root of 137122042947305472 is 370299936.4667856273 -
The
cube root of 137122042947305472 is 515666.7055069939
Scales and comparisons
How big is 137122042947305472?- 137,122,042,947,305,472 seconds is equal to 4,360,056,819 years, 20 weeks, 4 days, 11 hours, 31 minutes, 12 seconds.
-
To count from 1 to 137,122,042,947,305,472 would take you about thirteen billion, eighty million, one hundred seventy thousand, four hundred fifty-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 137122042947305472 cubic inches would be around 42972.2 feet tall.
Recreational maths with 137122042947305472
- 137122042947305472 backwards is 274503749240221731
- 137122042947305472 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 137122042947305472's digits is 63
- More coming soon!
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"Number 137122042947305472 - Facts about the integer". Numbermatics.com. 2024. Web. 13 May 2024.
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Numbermatics. (2024). Number 137122042947305472 - Facts about the integer. Retrieved 13 May 2024, from https://numbermatics.com/n/137122042947305472/
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The information we have on file for 137122042947305472 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
Keywords: Divisors of 137122042947305472, math, Factors of 137122042947305472, curriculum, school, college, exams, university, Prime factorization of 137122042947305472, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-seven quadrillion, one hundred twenty-two trillion, forty-two billion, nine hundred forty-seven million, three hundred five thousand, four hundred seventy-two.