137531309041152
137,531,309,041,152 is an even composite number composed of six prime numbers multiplied together.
What does the number 137531309041152 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1080 divisors.
137531309041152 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand and eighty divisors.
Prime factorization of 137531309041152:
29 × 32 × 13 × 23 × 972 × 1032
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 13 × 23 × 97 × 97 × 103 × 103)See below for interesting mathematical facts about the number 137531309041152 from the Numbermatics database.
Names of 137531309041152
- Cardinal: 137531309041152 can be written as One hundred thirty-seven trillion, five hundred thirty-one billion, three hundred nine million, forty-one thousand, one hundred fifty-two.
Scientific notation
- Scientific notation: 1.37531309041152 × 1014
Factors of 137531309041152
Divisors of 137531309041152
- Number of divisors d(n): 1080
-
Complete list of divisors:
1 2 3 4 6 8 9 12 13 16 18 23 24 26 32 36 39 46 48 52 64 69 72 78 92 96 97 103 104 117 128 138 144 156 184 192 194 206 207 208 234 256 276 288 291 299 309 312 368 384 388 412 414 416 468 512 552 576 582 598 618 624 736 768 776 824 828 832 873 897 927 936 1104 1152 1164 1196 1236 1248 1261 1339 1472 1536 1552 1648 1656 1664 1746 1794 1854 1872 2208 2231 2304 2328 2369 2392 2472 2496 2522 2678 2691 2944 3104 3296 3312 3328 3492 3588 3708 3744 3783 4017 4416 4462 4608 4656 4738 4784 4944 4992 5044 5356 5382 5888 6208 6592 6624 6656 6693 6984 7107 7176 7416 7488 7566 8034 8832 8924 9312 9409 9476 9568 9888 9984 9991 10088 10609 10712 10764 11349 11776 12051 12416 13184 13248 13386 13968 14214 14352 14832 14976 15132 16068 17664 17848 18624 18818 18952 19136 19776 19968 19982 20079 20176 21218 21321 21424 21528 22698 24102 24832 26368 26496 26772 27936 28227 28428 28704 29003 29664 29952 29973 30264 30797 31827 32136 35328 35696 37248 37636 37904 38272 39552 39964 40158 40352 42436 42642 42848 43056 45396 48204 49664 52736 52992 53544 55872 56454 56856 57408 58006 59328 59904 59946 60528 61594 63654 64272 71392 74496 75272 75808 76544 79104 79928 80316 80704 84681 84872 85284 85696 86112 87009 89919 90792 92391 95481 96408 105984 107088 111744 112908 113712 114816 116012 118656 119892 121056 122317 123188 127308 128544 129883 137917 142784 148992 150544 151616 153088 158208 159856 160632 161408 169362 169744 170568 171392 172224 174018 179838 181584 184782 190962 192816 214176 216407 223488 225816 227424 229632 229793 232024 237312 239784 242112 244007 244634 246376 254616 257088 259766 261027 275834 277173 285568 301088 303232 319712 321264 322816 338724 339488 341136 342784 344448 348036 359676 363168 366951 369564 381924 385632 389649 413751 428352 432814 446976 451632 454848 459264 459586 464048 474624 479568 484224 488014 489268 492752 509232 514176 519532 522054 551668 554346 571136 602176 606464 639424 642528 645632 649221 677448 678976 682272 685568 688896 689379 696072 719352 726336 732021 733902 739128 763848 771264 779298 827502 856704 865628 903264 909696 919172 928096 959136 968448 969127 976028 978536 985504 1018464 1028352 1029073 1039064 1044108 1100853 1103336 1108692 1142272 1168947 1204352 1212928 1241253 1278848 1285056 1298442 1354896 1357952 1364544 1377792 1378758 1392144 1438704 1452672 1464042 1467804 1478256 1527696 1542528 1558596 1655004 1713408 1731256 1806528 1819392 1838344 1856192 1918272 1936896 1938254 1947663 1952056 1957072 1971008 2036928 2056704 2058146 2068137 2078128 2088216 2196063 2201706 2206672 2217384 2337894 2408704 2482506 2557696 2570112 2596884 2709792 2715904 2729088 2757516 2784288 2813291 2877408 2905344 2907381 2928084 2935608 2956512 2987309 3055392 3085056 3087219 3117192 3172091 3310008 3426816 3462512 3613056 3638784 3676688 3712384 3836544 3876508 3895326 3904112 3914144 3942016 4073856 4116292 4136274 4156256 4176432 4392126 4403412 4413344 4434768 4675788 4817408 4965012 5115392 5140224 5193768 5419584 5431808 5458176 5515032 5568576 5626582 5754816 5810688 5814762 5856168 5871216 5913024 5974618 6110784 6170112 6174438 6234384 6344182 6620016 6925024 7226112 7353376 7424768 7673088 7753016 7790652 7808224 7828288 7884032 8147712 8232584 8272548 8312512 8352864 8439873 8722143 8784252 8806824 8826688 8869536 8961927 9261657 9351576 9516273 9930024 10280448 10387536 10839168 10916352 11030064 11137152 11253164 11509632 11629524 11712336 11742432 11826048 11949236 12221568 12348876 12468768 12598651 12688364 13240032 13377949 13850048 14452224 14706752 14849536 15346176 15506032 15581304 15616448 15656576 15768064 16295424 16465168 16545096 16625024 16705728 16879746 17444286 17568504 17613648 17653376 17739072 17923854 18523314 18703152 19032546 19860048 20775072 21678336 22060128 22274304 22289921 22506328 23019264 23259048 23424672 23484864 23652096 23668679 23898472 24443136 24697752 24937536 25197302 25319619 25376728 26480064 26755898 26885781 27700096 28548819 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149625216 151183812 152260368 158880384 160535388 166200576 176481024 178319368 180050624 186072384 187397376 187878912 189349432 191187776 197582016 199500288 199640162 200609289 201578416 202556952 203013824 211840512 213018111 214047184 215086248 226775718 228390552 240803082 248096512 249300864 263442688 264721536 267479052 270075936 279108576 281096064 281818368 284024148 286781664 289768973 296373024 299250432 299460243 302367624 304520736 307692827 317760768 321070776 332401152 352962048 356638736 360101248 372144768 374794752 378698864 382375552 395164032 399280324 401218578 403156832 405113904 406027648 426036222 428094368 430172496 453551436 456781104 481606164 496193024 498601728 526885376 529443072 534958104 540151872 558217152 562192128 563636736 568048296 573563328 579537946 592746048 598500864 598920486 604735248 609041472 615385654 635521536 642141552 713277472 720202496 744289536 757397728 764751104 790328064 798560648 802437156 806313664 810227808 812055296 852072444 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5538470886 5706219776 6059181824 6388485184 6419497248 6450509312 6481822464 6816579552 6849509888 6882759936 6887585589 6954455352 7187045832 7256822976 7308497664 7384627848 7705698624 7785966318 8559329664 9088772736 9183447452 9272607136 9582727776 9675763968 9846170464 10274264832 10381288424 10431683028 11076941772 11412439552 11678949477 12118363648 12776970368 12838994496 12963644928 13633159104 13765519872 13775171178 13908910704 14374091664 14513645952 14616995328 14769255696 15411397248 15571932636 17118659328 18177545472 18366894904 18545214272 19165455552 19351527936 19692340928 20548529664 20662756767 20762576848 20863366056 22153883544 23357898954 25553940736 25677988992 27266318208 27550342356 27817821408 28748183328 29027291904 29538511392 29846204219 30822794496 31143865272 34237318656 36355090944 36733789808 37090428544 38330911104 39384681856 41325513534 41525153696 41726732112 44307767088 46715797908 51107881472 51355977984 54532636416 55100684712 55635642816 57496366656 58054583808 59077022784 59692408438 61645588992 62287730544 73467579616 74180857088 76661822208 78769363712 82651027068 83050307392 83453464224 88615534176 89538612657 93431595816 102711955968 109065272832 110201369424 111271285632 114992733312 118154045568 119384816876 124575461088 146935159232 148361714176 153323644416 157538727424 165302054136 166100614784 166906928448 177231068352 179077225314 186863191632 220402738848 222542571264 229985466624 236308091136 238769633752 249150922176 268615837971 293870318464 330604108272 332201229568 333813856896 354462136704 358154450628 373726383264 440805477696 445085142528 459970933248 472616182272 477539267504 498301844352 537231675942 587740636928 661208216544 664402459136 667627713792 708924273408 716308901256 747452766528 881610955392 955078535008 996603688704 1074463351884 1175481273856 1322416433088 1335255427584 1417848546816 1432617802512 1494905533056 1763221910784 1910157070016 1993207377408 2148926703768 2644832866176 2865235605024 2989811066112 3526443821568 3820314140032 4297853407536 5289665732352 5730471210048 5979622132224 7640628280064 8595706815072 10579331464704 11460942420096 15281256560128 17191413630144 22921884840192 34382827260288 45843769680384 68765654520576 137531309041152
- Sum of all divisors σ(n): 455106315487824
- Sum of proper divisors (its aliquot sum) s(n): 317575006446672
- 137531309041152 is an abundant number, because the sum of its proper divisors (317575006446672) is greater than itself. Its abundance is 180043697405520
Bases of 137531309041152
- Binary: 111110100010101100000001101001000100110000000002
- Hexadecimal: 0x7D1580D22600
- Base-36: 1CR10EG740
Squares and roots of 137531309041152
- 137531309041152 squared (1375313090411522) is 18914860966572857857629487104
- 137531309041152 cubed (1375313090411523) is 2601385589064154743527125244968907789303808
-
The
square root of 137531309041152 is 11727374.3455707937 -
The
cube root of 137531309041152 is 51617.9230149805
Scales and comparisons
How big is 137531309041152?- 137,531,309,041,152 seconds is equal to 4,373,070 years, 11 weeks, 1 day, 8 hours, 19 minutes, 12 seconds.
-
To count from 1 to 137,531,309,041,152 would take you about ten million, nine hundred thirty-two thousand, six hundred seventy-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 137531309041152 cubic inches would be around 4301.5 feet tall.
Recreational maths with 137531309041152
- 137531309041152 backwards is 251140903135731
- The number of decimal digits it has is: 15
- The sum of 137531309041152's digits is 45
- More coming soon!
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"Number 137531309041152 - Facts about the integer". Numbermatics.com. 2024. Web. 15 June 2024.
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The information we have on file for 137531309041152 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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