137248098993792
137,248,098,993,792 is an even composite number composed of four prime numbers multiplied together.
What does the number 137248098993792 look like?
This visualization shows the relationship between its 4 prime factors (large circles) and 864 divisors.
137248098993792 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of eight hundred sixty-four divisors.
Prime factorization of 137248098993792:
27 × 317 × 192 × 23
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 19 × 19 × 23)See below for interesting mathematical facts about the number 137248098993792 from the Numbermatics database.
Names of 137248098993792
- Cardinal: 137248098993792 can be written as One hundred thirty-seven trillion, two hundred forty-eight billion, ninety-eight million, nine hundred ninety-three thousand, seven hundred ninety-two.
Scientific notation
- Scientific notation: 1.37248098993792 × 1014
Factors of 137248098993792
Divisors of 137248098993792
- Number of divisors d(n): 864
-
Complete list of divisors:
1 2 3 4 6 8 9 12 16 18 19 23 24 27 32 36 38 46 48 54 57 64 69 72 76 81 92 96 108 114 128 138 144 152 162 171 184 192 207 216 228 243 276 288 304 324 342 361 368 384 414 432 437 456 486 513 552 576 608 621 648 684 722 729 736 828 864 874 912 972 1026 1083 1104 1152 1216 1242 1296 1311 1368 1444 1458 1472 1539 1656 1728 1748 1824 1863 1944 2052 2166 2187 2208 2432 2484 2592 2622 2736 2888 2916 2944 3078 3249 3312 3456 3496 3648 3726 3888 3933 4104 4332 4374 4416 4617 4968 5184 5244 5472 5589 5776 5832 6156 6498 6561 6624 6992 7296 7452 7776 7866 8208 8303 8664 8748 8832 9234 9747 9936 10368 10488 10944 11178 11552 11664 11799 12312 12996 13122 13248 13851 13984 14904 15552 15732 16416 16606 16767 17328 17496 18468 19494 19683 19872 20976 21888 22356 23104 23328 23598 24624 24909 25992 26244 26496 27702 27968 29241 29808 31104 31464 32832 33212 33534 34656 34992 35397 36936 38988 39366 39744 41553 41952 44712 46208 46656 47196 49248 49818 50301 51984 52488 55404 55936 58482 59049 59616 62928 65664 66424 67068 69312 69984 70794 73872 74727 77976 78732 79488 83106 83904 87723 89424 93312 94392 98496 99636 100602 103968 104976 106191 110808 116964 118098 119232 124659 125856 132848 134136 138624 139968 141588 147744 149454 150903 155952 157464 166212 167808 175446 177147 178848 188784 196992 199272 201204 207936 209952 212382 221616 224181 233928 236196 238464 249318 251712 263169 265696 268272 279936 283176 295488 298908 301806 311904 314928 318573 332424 350892 354294 357696 373977 377568 398544 402408 415872 419904 424764 443232 448362 452709 467856 472392 498636 503424 526338 531392 531441 536544 566352 590976 597816 603612 623808 629856 637146 664848 672543 701784 708588 715392 747954 755136 789507 797088 804816 839808 849528 886464 896724 905418 935712 944784 955719 997272 1052676 1062784 1062882 1073088 1121931 1132704 1195632 1207224 1247616 1259712 1274292 1329696 1345086 1358127 1403568 1417176 1495908 1510272 1579014 1594176 1594323 1609632 1699056 1772928 1793448 1810836 1871424 1889568 1911438 1994544 2017629 2105352 2125764 2146176 2243862 2265408 2368521 2391264 2414448 2519424 2548584 2659392 2690172 2716254 2807136 2834352 2867157 2991816 3158028 3188352 3188646 3219264 3365793 3398112 3586896 3621672 3742848 3779136 3822876 3989088 4035258 4074381 4210704 4251528 4487724 4530816 4737042 4782528 4782969 4828896 5097168 5318784 5380344 5432508 5614272 5668704 5734314 5983632 6052887 6316056 6377292 6438528 6731586 6796224 7105563 7173792 7243344 7558272 7645752 7978176 8070516 8148762 8421408 8503056 8601471 8975448 9474084 9565056 9565938 9657792 10097379 10194336 10760688 10865016 11228544 11337408 11468628 11967264 12105774 12223143 12632112 12754584 13463172 13592448 14211126 14347584 14348907 14486688 15291504 15956352 16141032 16297524 16842816 17006112 17202942 17950896 18158661 18948168 19131876 19315584 20194758 20388672 21316689 21521376 21730032 22674816 22937256 23934528 24211548 24446286 25264224 25509168 25804413 26926344 28422252 28695168 28697814 28973376 30292137 30583008 32282064 32595048 33685632 34012224 34405884 35901792 36317322 36669429 37896336 38263752 40389516 40777344 42633378 43042752 43046721 43460064 45874512 47869056 48423096 48892572 50528448 51018336 51608826 53852688 54475983 56844504 57395628 57946752 60584274 61166016 63950067 64564128 65190096 68024448 68811768 71803584 72634644 73338858 75792672 76527504 77413239 80779032 85266756 86085504 86093442 86920128 90876411 91749024 96846192 97785144 101056896 102036672 103217652 107705376 108951966 110008287 113689008 114791256 121168548 122332032 127900134 129128256 129140163 130380192 137623536 143607168 145269288 146677716 151585344 153055008 154826478 161558064 163427949 170533512 172186884 173840256 181752822 183498048 191850201 193692384 195570288 204073344 206435304 215410752 217903932 220016574 227378016 229582512 232239717 242337096 255800268 258256512 258280326 260760384 272629233 275247072 290538576 293355432 303170688 306110016 309652956 323116128 326855898 330024861 341067024 344373768 363505644 366996096 383700402 387384768 391140576 412870608 430821504 435807864 440033148 454756032 459165024 464479434 484674192 490283847 511600536 516560652 521520768 545258466 550494144 575550603 581077152 586710864 612220032 619305912 646232256 653711796 660049722 682134048 688747536 696719151 727011288 767400804 774769536 782281152 817887699 825741216 871615728 880066296 909512064 918330048 928958868 969348384 980567694 990074583 1023201072 1033121304 1090516932 1100988288 1151101206 1162154304 1173421728 1238611824 1292464512 1307423592 1320099444 1364268096 1377495072 1393438302 1454022576 1470851541 1534801608 1564562304 1635775398 1651482432 1726651809 1743231456 1760132592 1836660096 1857917736 1938696768 1961135388 1980149166 2046402144 2066242608 2090157453 2181033864 2302202412 2324308608 2346843456 2453663097 2477223648 2614847184 2640198888 2728536192 2754990144 2786876604 2908045152 2941703082 2970223749 3069603216 3271550796 3302964864 3453303618 3486462912 3520265184 3715835472 3877393536 3922270776 3960298332 4092804288 4132485216 4180314906 4362067728 4412554623 4604404824 4693686912 4907326194 4954447296 5179955427 5229694368 5280397776 5509980288 5573753208 5816090304 5883406164 5940447498 6139206432 6270472359 6543101592 6906607236 6972925824 7040530368 7431670944 7844541552 7920596664 8185608576 8264970432 8360629812 8724135456 8825109246 9208809648 9814652388 9908894592 10359910854 10459388736 10560795552 11147506416 11632180608 11766812328 11880894996 12278412864 12540944718 13086203184 13237663869 13813214472 14081060736 14863341888 15539866281 15689083104 15841193328 16529940864 16721259624 17448270912 17650218492 18417619296 18811417077 19629304776 20719821708 20918777472 21121591104 22295012832 23533624656 23761789992 24556825728 25081889436 26172406368 26475327738 27626428944 29726683776 31079732562 31378166208 31682386656 33442519248 34896541824 35300436984 36835238592 37622834154 39258609552 39712991607 41439643416 42243182208 44590025664 46619598843 47067249312 47523579984 50163778872 52344812736 52950655476 55252857888 56434251231 62159465124 62756332416 63364773312 66885038496 70600873968 73670477184 75245668308 78517219104 79425983214 82879286832 89180051328 93239197686 94134498624 95047159968 100327557744 104689625472 105901310952 110505715776 112868502462 119138974821 124318930248 126729546624 133770076992 141201747936 150491336616 157034438208 158851966428 165758573664 186478395372 188268997248 190094319936 200655115488 211802621904 221011431552 225737004924 238277949642 248637860496 267540153984 282403495872 300982673232 314068876416 317703932856 331517147328 357416924463 372956790744 380188639872 401310230976 423605243808 451474009848 476555899284 497275720992 564806991744 601965346464 635407865712 663034294656 714833848926 745913581488 802620461952 847210487616 902948019696 953111798568 994551441984 1072250773389 1203930692928 1270815731424 1429667697852 1491827162976 1694420975232 1805896039392 1906223597136 1989102883968 2144501546778 2407861385856 2541631462848 2859335395704 2983654325952 3611792078784 3812447194272 4289003093556 5083262925696 5718670791408 5967308651904 7223584157568 7624894388544 8578006187112 11437341582816 15249788777088 17156012374224 22874683165632 34312024748448 45749366331264 68624049496896 137248098993792
- Sum of all divisors σ(n): 451678050139680
- Sum of proper divisors (its aliquot sum) s(n): 314429951145888
- 137248098993792 is an abundant number, because the sum of its proper divisors (314429951145888) is greater than itself. Its abundance is 177181852152096
Bases of 137248098993792
- Binary: 111110011010011100100000010111111000110100000002
- Hexadecimal: 0x7CD3902FC680
- Base-36: 1CNEWMI000
Squares and roots of 137248098993792
- 137248098993792 squared (1372480989937922) is 18837040677409728602854539264
- 137248098993792 cubed (1372480989937923) is 2585348023643217146322351892338338156249088
-
The
square root of 137248098993792 is 11715293.3806111745 -
The
cube root of 137248098993792 is 51582.4674267165
Scales and comparisons
How big is 137248098993792?- 137,248,098,993,792 seconds is equal to 4,364,065 years, 4 days, 6 hours, 43 minutes, 12 seconds.
-
To count from 1 to 137,248,098,993,792 would take you about ten million, nine hundred ten thousand, one hundred sixty-two 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 137248098993792 cubic inches would be around 4298.5 feet tall.
Recreational maths with 137248098993792
- 137248098993792 backwards is 297399890842731
- 137248098993792 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 137248098993792's digits is 81
- More coming soon!
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The information we have on file for 137248098993792 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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