137906218312128
137,906,218,312,128 is an even composite number composed of seven prime numbers multiplied together.
137906218312128 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand and sixteen divisors.
Prime factorization of 137906218312128:
26 × 38 × 7 × 31 × 43 × 61 × 577
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 7 × 31 × 43 × 61 × 577)See below for interesting mathematical facts about the number 137906218312128 from the Numbermatics database.
Names of 137906218312128
- Cardinal: 137906218312128 can be written as One hundred thirty-seven trillion, nine hundred six billion, two hundred eighteen million, three hundred twelve thousand, one hundred twenty-eight.
Scientific notation
- Scientific notation: 1.37906218312128 × 1014
Factors of 137906218312128
Divisors of 137906218312128
- Number of divisors d(n): 2016
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 31 32 36 42 43 48 54 56 61 62 63 64 72 81 84 86 93 96 108 112 122 124 126 129 144 162 168 172 183 186 189 192 216 217 224 243 244 248 252 258 279 288 301 324 336 344 366 372 378 387 427 432 434 448 486 488 496 504 516 549 558 567 576 577 602 648 651 672 688 729 732 744 756 774 837 854 864 868 903 972 976 992 1008 1032 1098 1116 1134 1154 1161 1204 1281 1296 1302 1333 1344 1376 1458 1464 1488 1512 1548 1647 1674 1701 1708 1728 1731 1736 1806 1891 1944 1952 1953 1984 2016 2064 2187 2196 2232 2268 2308 2322 2408 2511 2562 2592 2604 2623 2666 2709 2752 2916 2928 2976 3024 3096 3294 3348 3402 3416 3462 3472 3483 3612 3782 3843 3888 3904 3906 3999 4032 4039 4128 4374 4392 4464 4536 4616 4644 4816 4941 5022 5103 5124 5184 5193 5208 5246 5332 5418 5673 5832 5856 5859 5952 6048 6192 6561 6588 6696 6804 6832 6924 6944 6966 7224 7533 7564 7686 7776 7812 7869 7998 8078 8127 8256 8748 8784 8928 9072 9232 9288 9331 9632 9882 10044 10206 10248 10386 10416 10449 10492 10664 10836 11346 11529 11664 11712 11718 11997 12096 12117 12384 13122 13176 13237 13392 13608 13664 13848 13888 13932 14448 14823 15066 15128 15309 15372 15552 15579 15624 15738 15996 16156 16254 17019 17496 17568 17577 17856 17887 18144 18361 18464 18576 18662 19264 19764 20088 20412 20496 20772 20832 20898 20984 21328 21672 22599 22692 23058 23328 23436 23607 23994 24234 24381 24768 24811 26244 26352 26474 26784 27216 27328 27696 27864 27993 28896 29646 30132 30256 30618 30744 31158 31248 31347 31476 31992 32312 32508 34038 34587 34992 35136 35154 35197 35774 35991 36288 36351 36722 36928 37152 37324 39528 39711 40176 40824 40992 41544 41664 41796 41968 42656 43344 44469 45198 45384 45927 46116 46656 46737 46872 47214 47988 48468 48762 49622 51057 52488 52704 52731 52948 53568 53661 54432 55083 55392 55728 55986 57792 59292 60264 60512 61236 61488 62316 62496 62694 62952 63984 64624 65016 67797 68076 69174 69984 70308 70394 70821 71548 71982 72702 73143 73444 74304 74433 74648 79056 79422 80352 81313 81648 81984 83088 83592 83936 83979 85312 86688 88938 90396 90768 91854 92232 93474 93744 94041 94428 95976 96936 97524 99244 102114 103761 104976 105408 105462 105591 105896 107322 107973 108864 109053 110166 110784 111456 111972 118584 119133 120528 121024 122472 122976 124632 124992 125209 125388 125904 127968 129248 130032 133407 135594 136152 138348 139968 140211 140616 140788 141642 143096 143964 145404 146286 146888 148866 149296 153171 158112 158193 158844 160704 160983 162626 163296 165249 166176 167184 167872 167958 173376 173677 177876 180792 181536 183708 184464 186948 187488 188082 188856 191952 193872 195048 198488 203391 204228 207522 209952 210924 211182 211792 212463 214644 215946 218106 219429 220332 222912 223299 223944 237168 238266 241056 243939 244944 245952 246379 249264 250418 250776 251808 251937 255936 258496 260064 266814 271188 272304 276696 280422 281232 281576 282123 283284 286192 287928 290808 292572 293776 297732 298592 306342 311283 316224 316386 316773 317688 321966 323919 325252 326592 327159 330498 332352 334368 335916 347354 355752 357399 361584 363072 367416 368928 373896 374976 375627 376164 377712 383904 387744 390096 396976 400221 406782 408456 415044 419904 420633 421848 422364 423584 424926 429288 431892 436212 438858 440664 446598 447888 459513 474336 474579 476532 482112 482949 487878 489888 492758 495747 498528 500836 501552 503616 503874 520128 521031 533628 542376 544608 553392 560844 562464 563152 564246 566568 569191 572384 575856 581616 585144 587552 595464 597184 612684 622566 632772 633546 635376 637389 643932 647838 650504 654318 658287 660996 668736 669897 671832 694708 711504 714798 723168 731817 734832 737856 739137 747792 751254 752328 755424 755811 767808 769141 775488 780192 793952 800442 813564 816912 830088 841266 843696 844728 847168 849852 858576 863784 872424 877716 881328 893196 895776 919026 933849 948672 949158 950319 953064 965898 971757 975756 979776 981477 985516 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8103074112 8484448032 8535913488 8621293968 8762626656 8826562872 8852058432 8867426589 8971260624 9008179392 9115958376 9153472608 9303529536 9545004036 9898522704 9929883231 9958565736 10092668202 10134201816 10297656684 10418238144 10466470728 10509542624 11135838042 11381217984 11400977043 11495058624 11768750496 11774779569 11823235452 11961680832 12154611168 12726672048 12931940952 13143939984 13198030272 13239844308 13278087648 13456890936 13512269088 13730208912 13955294304 14317506054 14779361088 14847784056 14937848604 15201302724 15446485026 15699706092 15764313936 16703757063 16968896064 17071826976 17242587936 17525253312 17653125744 17734853178 17942521248 18231916752 18306945216 19090008072 19797045408 19859766462 19917131472 20185336404 20268403632 20595313368 20932941456 21019085248 22271676084 22801954086 23169727539 23537500992 23549559138 23646470904 24309222336 25453344096 25863881904 26287879968 26479688616 26556175296 26602279767 26913781872 27024538176 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141878825424 152720064576 158878131696 159613678602 161482691232 164762506944 178173408672 182415632688 185357820312 188396473104 189171767232 200445084756 205217586774 211837508928 212818238136 229080096864 239005577664 239420517903 243220843584 247143760416 251195297472 267260113008 273623449032 278036730468 282594709656 283757650848 307826380161 317756263392 319227357204 322965382464 356346817344 364831265376 370715640624 376792946208 400890169512 410435173548 425636476272 458160193728 478841035806 494287520832 534520226016 547246898064 556073460936 565189419312 567515301696 615652760322 635512526784 638454714408 718261553709 729662530752 741431281248 753585892416 801780339024 820870347096 851272952544 957682071612 1069040452032 1094493796128 1112146921872 1130378838624 1231305520644 1276909428816 1436523107418 1482862562496 1603560678048 1641740694192 1702545905088 1915364143224 2154784661127 2188987592256 2224293843744 2260757677248 2462611041288 2553818857632 2873046214836 3207121356096 3283481388384 3830728286448 4309569322254 4448587687488 4925222082576 5107637715264 5746092429672 6566962776768 7661456572896 8619138644508 9850444165152 11492184859344 15322913145792 17238277289016 19700888330304 22984369718688 34476554578032 45968739437376 68953109156064 137906218312128
- Sum of all divisors σ(n): 504492974256128
- Sum of proper divisors (its aliquot sum) s(n): 366586755944000
- 137906218312128 is an abundant number, because the sum of its proper divisors (366586755944000) is greater than itself. Its abundance is 228680537631872
Bases of 137906218312128
- Binary: 111110101101100110010110010011110100001110000002
- Hexadecimal: 0x7D6CCB27A1C0
- Base-36: 1CVT8PR000
Squares and roots of 137906218312128
- 137906218312128 squared (1379062183121282) is 19018125049152308121231888384
- 137906218312128 cubed (1379062183121283) is 2622717704915748254311586857299438569521152
-
The
square root of 137906218312128 is 11743347.8323742073 -
The
cube root of 137906218312128 is 51664.7838112669
Scales and comparisons
How big is 137906218312128?- 137,906,218,312,128 seconds is equal to 4,384,991 years, 8 weeks, 6 days, 28 minutes, 48 seconds.
-
To count from 1 to 137,906,218,312,128 would take you about ten million, nine hundred sixty-two thousand, four hundred seventy-seven 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 137906218312128 cubic inches would be around 4305.4 feet tall.
Recreational maths with 137906218312128
- 137906218312128 backwards is 821213812609731
- 137906218312128 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 137906218312128's digits is 54
- More coming soon!
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MLA style:
"Number 137906218312128 - Facts about the integer". Numbermatics.com. 2024. Web. 17 June 2024.
APA style:
Numbermatics. (2024). Number 137906218312128 - Facts about the integer. Retrieved 17 June 2024, from https://numbermatics.com/n/137906218312128/
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Numbermatics. 2024. "Number 137906218312128 - Facts about the integer". https://numbermatics.com/n/137906218312128/
The information we have on file for 137906218312128 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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