137495228482985984
137,495,228,482,985,984 is an even composite number composed of five prime numbers multiplied together.
137495228482985984 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, six hundred eighty divisors.
Prime factorization of 137495228482985984:
213 × 133 × 194 × 312 × 61
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 13 × 13 × 13 × 19 × 19 × 19 × 19 × 31 × 31 × 61)See below for interesting mathematical facts about the number 137495228482985984 from the Numbermatics database.
Names of 137495228482985984
- Cardinal: 137495228482985984 can be written as One hundred thirty-seven quadrillion, four hundred ninety-five trillion, two hundred twenty-eight billion, four hundred eighty-two million, nine hundred eighty-five thousand, nine hundred eighty-four.
Scientific notation
- Scientific notation: 1.37495228482985984 × 1017
Factors of 137495228482985984
Divisors of 137495228482985984
- Number of divisors d(n): 1680
-
Complete list of divisors:
1 2 4 8 13 16 19 26 31 32 38 52 61 62 64 76 104 122 124 128 152 169 208 244 247 248 256 304 338 361 403 416 488 494 496 512 589 608 676 722 793 806 832 961 976 988 992 1024 1159 1178 1216 1352 1444 1586 1612 1664 1891 1922 1952 1976 1984 2048 2197 2318 2356 2432 2704 2888 3172 3211 3224 3328 3782 3844 3904 3952 3968 4096 4394 4636 4693 4712 4864 5239 5408 5776 6344 6422 6448 6656 6859 7564 7657 7688 7808 7904 7936 8192 8788 9272 9386 9424 9728 10309 10478 10816 11191 11552 12493 12688 12844 12896 13312 13718 15067 15128 15314 15376 15616 15808 15872 17576 18259 18544 18772 18848 19456 20618 20956 21632 22021 22382 23104 24583 24986 25376 25688 25792 26624 27436 30134 30256 30628 30752 31232 31616 31744 35152 35929 36518 37088 37544 37696 38912 41236 41743 41912 43264 44042 44764 46208 49166 49972 50752 51376 51584 53248 54872 58621 60268 60512 61009 61256 61504 62464 63232 63488 68107 70304 71858 73036 74176 75088 75392 77824 82472 83486 83824 86528 88084 89167 89528 92416 98332 99541 99944 101504 102752 103168 106496 109744 117242 120536 121024 122018 122512 123008 124928 126464 126976 130321 134017 136214 140608 143716 145483 146072 148352 150176 150784 155648 162409 164944 166972 167648 173056 176168 178334 179056 184832 195871 196664 199082 199888 203008 205504 206336 212629 219488 234484 237367 241072 242048 244036 245024 246016 249856 252928 253952 260642 268034 272428 281216 286273 287432 290966 292144 296704 300352 301568 319579 324818 329888 333944 335296 346112 346921 352336 356668 358112 369664 391742 393328 398164 399776 406016 411008 412672 418399 425258 438976 467077 468968 474734 482144 484096 488072 490048 492032 499712 505856 521284 536068 544856 562432 572546 574864 581932 584288 593408 600704 603136 639158 649636 659776 667888 670592 682651 692224 693842 704672 713336 716224 739328 762073 783484 786656 793117 796328 799552 812032 822016 825344 836798 850516 877952 934154 937936 949468 964288 968192 976144 980096 984064 1011712 1042568 1072136 1089712 1113799 1124864 1145092 1149728 1159171 1163864 1168576 1186816 1201408 1206272 1278316 1294033 1299272 1319552 1335776 1341184 1365302 1384448 1387684 1409344 1426672 1432448 1478656 1524146 1566968 1573312 1586234 1592656 1599104 1624064 1644032 1650688 1673596 1694173 1701032 1755904 1868308 1875872 1891279 1898936 1928576 1936384 1952288 1960192 1968128 2023424 2085136 2111317 2144272 2179424 2227598 2249728 2290184 2299456 2318342 2327728 2337152 2373632 2402816 2412544 2546323 2556632 2588066 2598544 2639104 2671552 2682368 2730604 2764177 2775368 2818688 2853344 2864896 2957312 3048292 3085771 3133936 3146624 3172468 3185312 3198208 3248128 3288064 3301376 3347192 3388346 3402064 3511808 3721549 3736616 3751744 3782558 3797872 3857152 3872768 3904576 3920384 3936256 4039951 4154527 4170272 4222634 4288544 4358848 4455196 4499456 4509973 4580368 4598912 4636684 4655456 4674304 4747264 4805632 4825088 5092646 5113264 5176132 5197088 5278208 5343104 5364736 5439187 5461208 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106253262848 107559655424 113983602772 114445074848 115852186424 117660493184 118136851456 118615138304 119589353728 120073521152 122232757456 123447074816 126175749632 128244204544 131881305088 135903526382 139721835656 140287511104 140855476736 142012357552 142587306368 144812914688 146593401344 147186896896 156609049792 161660954624 164311134208 166591419436 167265878624 169322426312 171965336192 172661552128 173360586752 174784440064 175492069376 180422647808 185973246628 191972383616 192749599744 195119471872 198165041152 198628230866 201413648384 205035593152 205865696768 208396832384 211649644544 215119310848 227967205544 228890149696 231704372848 235320986368 236273702912 239178707456 240147042304 244465514912 252351499264 256488409088 263762610176 271807052764 275148942757 279443671312 280575022208 281710953472 284024715104 285174612736 289625829376 293186802688 294373793792 313218099584 323321909248 328622268416 333182838872 334531757248 338644852624 343930672384 345323104256 349568880128 350984138752 371946493256 383944767232 385499199488 390238943744 396330082304 397256461732 410071186304 411731393536 416793664768 423299289088 430238621696 455934411088 457780299392 463408745696 470641972736 472547405824 478357414912 480294084608 488931029824 504702998528 512976818176 527525220352 541422113167 543614105528 550297885514 558887342624 561150044416 563421906944 568049430208 570349225472 579251658752 586373605376 626436199168 646643818496 666365677744 669063514496 677289705248 687861344768 690646208512 699137760256 701968277504 743892986512 767889534464 770998398976 780477887488 794512923464 820142372608 823462787072 833587329536 846598578176 883372921483 911868822176 915560598784 926817491392 941283945472 945094811648 956714829824 977862059648 1009405997056 1025953636352 1055050440704 1082844226334 1087228211056 1100595771028 1117774685248 1122300088832 1126843813888 1136098860416 1140698450944 1172747210752 1252872398336 1291083500629 1332731355488 1338127028992 1354579410496 1375722689536 1381292417024 1398275520512 1487785973024 1535779068928 1541996797952 1560955774976 1589025846928 1640284745216 1646925574144 1667174659072 1766745842966 1823737644352 1831121197568 1853634982784 1882567890944 1913429659648 1955724119296 2018811994112 2165688452668 2174456422112 2201191542056 2235549370496 2244600177664 2253687627776 2272197720832 2281396901888 2345494421504 2505744796672 2582167001258 2665462710976 2676254057984 2709158820992 2751445379072 2796551041024 2975571946048 3071558137856 3121911549952 3178051693856 3280569490432 3293851148288 3334349318144 3533491685932 3647475288704 3662242395136 3707269965568 3765135781888 3826859319296 3911448238592 4331376905336 4348912844224 4402383084112 4471098740992 4489200355328 4544395441664 4562793803776 5011489593344 5164334002516 5330925421952 5352508115968 5418317641984 5502890758144 5593102082048 5951143892096 6143116275712 6243823099904 6356103387712 6561138980864 6668698636288 7066983371864 7294950577408 7324484790272 7414539931136 7530271563776 7822896477184 8662753810672 8697825688448 8804766168224 8942197481984 8978400710656 9088790883328 9125587607552 10022979186688 10328668005032 10661850843904 10705016231936 10836635283968 11005781516288 11902287784192 12286232551424 12712206775424 13122277961728 13337397272576 14133966743728 14589901154816 14648969580544 14829079862272 15645792954368 16784085508177 17325507621344 17395651376896 17609532336448 17884394963968 17956801421312 18177581766656 20045958373376 20657336010064 21323701687808 21410032463872 21673270567936 23804575568384 25424413550848 26244555923456 28267933487456 29179802309632 29297939161088 29658159724544 31291585908736 33568171016354 34651015242688 34791302753792 35219064672896 35768789927936 36355163533312 41314672020128 42647403375616 42820064927744 43346541135872 47609151136768 50848827101696 56535866974912 58359604619264 59316319449088 62583171817472 67136342032708 69302030485376 69582605507584 70438129345792 71537579855872 72710327066624 82629344040256 85294806751232 86693082271744 95218302273536 101697654203392 113071733949824 116719209238528 118632638898176 134272684065416 138604060970752 139165211015168 140876258691584 143075159711744 165258688080512 170589613502464 173386164543488 190436604547072 203395308406784 226143467899648 233438418477056 268545368130832 277208121941504 278330422030336 281752517383168 330517376161024 341179227004928 380873209094144 406790616813568 452286935799296 537090736261664 554416243883008 556660844060672 563505034766336 661034752322048 813581233627136 904573871598592 1074181472523328 1108832487766016 1127010069532672 1322069504644096 1809147743197184 2148362945046656 2217664975532032 2254020139065344 2644139009288192 3618295486394368 4296725890093312 4435329951064064 5288278018576384 7236590972788736 8593451780186624 10576556037152768 17186903560373248 34373807120746496 68747614241492992 137495228482985984
- Sum of all divisors σ(n): 330222492092750040
- Sum of proper divisors (its aliquot sum) s(n): 192727263609764056
- 137495228482985984 is an abundant number, because the sum of its proper divisors (192727263609764056) is greater than itself. Its abundance is 55232035126778072
Bases of 137495228482985984
- Binary: 1111010000111101100101110100011000000101000100000000000002
- Hexadecimal: 0x1E87B2E8C0A2000
- Base-36: 11LTZNYX66M8
Squares and roots of 137495228482985984
- 137495228482985984 squared (1374952284829859842) is 18904937855588520215044164740448256
- 137495228482985984 cubed (1374952284829859843) is 2599338749910794673790377796224491291545873525243904
-
The
square root of 137495228482985984 is 370803490.3867356853 -
The
cube root of 137495228482985984 is 516134.0873050193
Scales and comparisons
How big is 137495228482985984?- 137,495,228,482,985,984 seconds is equal to 4,371,922,965 years, 4 weeks, 5 days, 19 hours, 39 minutes, 44 seconds.
-
To count from 1 to 137,495,228,482,985,984 would take you about thirteen billion, one hundred fifteen million, seven hundred sixty-eight thousand, eight hundred ninety-five 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 137495228482985984 cubic inches would be around 43011.2 feet tall.
Recreational maths with 137495228482985984
- 137495228482985984 backwards is 489589284822594731
- The number of decimal digits it has is: 18
- The sum of 137495228482985984's digits is 98
- More coming soon!
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"Number 137495228482985984 - Facts about the integer". Numbermatics.com. 2024. Web. 13 June 2024.
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Numbermatics. (2024). Number 137495228482985984 - Facts about the integer. Retrieved 13 June 2024, from https://numbermatics.com/n/137495228482985984/
Chicago style:
Numbermatics. 2024. "Number 137495228482985984 - Facts about the integer". https://numbermatics.com/n/137495228482985984/
The information we have on file for 137495228482985984 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!
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