137904417880416
137,904,417,880,416 is an even composite number composed of five prime numbers multiplied together.
What does the number 137904417880416 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1008 divisors.
137904417880416 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand and eight divisors.
Prime factorization of 137904417880416:
25 × 36 × 112 × 19 × 1373
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 11 × 11 × 19 × 137 × 137 × 137)See below for interesting mathematical facts about the number 137904417880416 from the Numbermatics database.
Names of 137904417880416
- Cardinal: 137904417880416 can be written as One hundred thirty-seven trillion, nine hundred four billion, four hundred seventeen million, eight hundred eighty thousand, four hundred sixteen.
Scientific notation
- Scientific notation: 1.37904417880416 × 1014
Factors of 137904417880416
Divisors of 137904417880416
- Number of divisors d(n): 1008
-
Complete list of divisors:
1 2 3 4 6 8 9 11 12 16 18 19 22 24 27 32 33 36 38 44 48 54 57 66 72 76 81 88 96 99 108 114 121 132 137 144 152 162 171 176 198 209 216 228 242 243 264 274 288 297 304 324 342 352 363 396 411 418 432 456 484 486 513 528 548 594 608 627 648 684 726 729 792 822 836 864 891 912 968 972 1026 1056 1089 1096 1188 1233 1254 1296 1368 1452 1458 1507 1539 1584 1644 1672 1782 1824 1881 1936 1944 2052 2178 2192 2299 2376 2466 2508 2592 2603 2673 2736 2904 2916 3014 3078 3168 3267 3288 3344 3564 3699 3762 3872 3888 4104 4356 4384 4521 4598 4617 4752 4932 5016 5206 5346 5472 5643 5808 5832 6028 6156 6534 6576 6688 6897 7128 7398 7524 7776 7809 8019 8208 8712 9042 9196 9234 9504 9801 9864 10032 10412 10692 11097 11286 11616 11664 12056 12312 13068 13152 13563 13794 13851 14256 14796 15048 15618 16038 16416 16577 16929 17424 18084 18392 18468 18769 19602 19728 20064 20691 20824 21384 22194 22572 23328 23427 24112 24624 26136 27126 27588 27702 28512 28633 29403 29592 30096 31236 32076 33154 33291 33858 34848 36168 36784 36936 37538 39204 39456 40689 41382 41648 42768 44388 45144 46854 48224 49248 49731 50787 52272 54252 55176 55404 56307 57266 58806 59184 60192 62073 62472 64152 66308 66582 67716 70281 72336 73568 73872 75076 78408 81378 82764 83296 85536 85899 88209 88776 90288 93708 99462 99873 101574 104544 108504 110352 110808 112614 114532 117612 118368 122067 124146 124944 128304 132616 133164 135432 140562 144672 147744 149193 150152 152361 156816 162756 165528 168921 171798 176418 177552 180576 186219 187416 198924 199746 203148 206459 210843 217008 220704 221616 225228 229064 235224 244134 248292 249888 256608 257697 265232 266328 270864 281124 298386 300304 304722 313632 314963 325512 331056 337842 343596 352836 355104 356611 366201 372438 374832 397848 399492 406296 412918 421686 434016 443232 447579 450456 458128 470448 488268 496584 506763 515394 530464 532656 541728 558657 562248 596772 600608 609444 619377 629926 632529 651024 662112 675684 687192 705672 713222 732402 744876 749664 773091 795696 798984 812592 825836 843372 895158 900912 916256 940896 944889 976536 993168 1013526 1030788 1065312 1069833 1098603 1117314 1124496 1193544 1218888 1238754 1259852 1265058 1302048 1342737 1351368 1374384 1411344 1426444 1464804 1489752 1520289 1546182 1591392 1597968 1625184 1651672 1675971 1686744 1790316 1801824 1858131 1889778 1897587 1953072 1986336 2027052 2061576 2139666 2197206 2234628 2248992 2271049 2319273 2387088 2437776 2477508 2519704 2530116 2571353 2685474 2702736 2748768 2822688 2834667 2852888 2929608 2979504 3040578 3092364 3195936 3209499 3303344 3351942 3373488 3580632 3716262 3779556 3795174 3906144 3922721 4028211 4054104 4123152 4279332 4394412 4469256 4542098 4560867 4638546 4774176 4875552 4955016 5039408 5060232 5142706 5370948 5405472 5574393 5669334 5705776 5859216 5959008 6081156 6184728 6418998 6606688 6703884 6746976 6813147 6957819 7161264 7432524 7559112 7590348 7714059 7845442 8056422 8108208 8246304 8504001 8558664 8788824 8938512 9084196 9121734 9277092 9628497 9910032 10078816 10120464 10285412 10741896 11148786 11338668 11411552 11718432 11768163 12084633 12162312 12369456 12837996 13407768 13626294 13682601 13915638 14322528 14865048 15118224 15180696 15428118 15690884 16112844 16216416 16723179 17008002 17117328 17577648 17877024 18168392 18243468 18554184 19256994 19820064 20240928 20439441 20570824 20873457 21483792 22297572 22677336 23142177 23536326 24169266 24324624 24738912 25512003 25675992 26815536 27252588 27365202 27831276 28284883 28885491 29730096 30236448 30361392 30856236 31381768 32225688 33446358 34016004 34234656 35155296 35304489 36336784 36486936 37108368 38513988 40878882 41141648 41746914 42967584 43149931 44595144 45354672 46284354 47072652 48338532 48649248 48855707 50169537 51024006 51351984 53631072 54505176 54730404 55662552 56569766 57770982 59460192 60722784 61318323 61712472 62763536 64451376 66892716 68032008 69426531 70608978 72673568 72973872 74216736 76536009 77027976 81757764 82283296 83493828 84854649 86299862 86656473 89190288 90709344 92568708 94145304 96677064 97711414 100339074 102048012 102703968 105913467 109010352 109460808 111325104 113139532 115541964 122636646 123424944 125527072 128902752 129449793 133785432 136064016 138853062 141217956 145947744 146567121 150508611 153072018 154055952 163515528 166987656 169709298 172599724 173312946 178380576 183954969 185137416 188290608 193354128 195422828 200678148 204096024 208279593 211826934 218020704 218921616 222650208 226279064 229608027 231083928 245273292 246849888 254563947 258899586 259969419 267570864 272128032 277706124 282435912 293134242 301017222 306144036 308111904 311133713 317740401 327031056 333975312 339418596 345199448 346625892 367909938 370274832 376581216 386708256 388349379 390845656 401356296 408192048 416559186 423653868 437843232 439701363 452558128 459216054 462167856 490546584 509127894 517799172 519938838 535141728 537412777 551864907 555412248 564871824 586268484 602034444 612288072 622267426 624838779 635480802 654062112 667950624 678837192 690398896 693251784 735819876 740549664 763691841 776698758 781691312 802712592 816384096 833118372 847307736 879402726 905116256 918432108 924335712 933401139 953221203 981093168 1018255788 1035598344 1039877676 1074825554 1103729814 1110824496 1129743648 1165048137 1172536968 1204068888 1224576144 1244534852 1249677558 1270961604 1319104089 1357674384 1380797792 1386503568 1471639752 1527383682 1553397516 1563382624 1605425184 1612238331 1655594721 1666236744 1694615472 1758805452 1836864216 1866802278 1874516337 1906442406 1962186336 2036511576 2071196688 2079755352 2149651108 2207459628 2221648992 2291075523 2330096274 2345073936 2408137776 2449152288 2489069704 2499355116 2541923208 2638208178 2715348768 2773007136 2800203417 2859663609 2943279504 3054767364 3106795032 3224476662 3311189442 3332473488 3389230944 3495144411 3517610904 3673728432 3733604556 3749032674 3812884812 3957312267 4073023152 4142393376 4159510704 4299302216 4414919256 4582151046 4660192548 4690147872 4816275552 4836714993 4978139408 4998710232 5083846416 5276416356 5600406834 5719327218 5886559008 5911540547 6109534728 6213590064 6448953324 6622378884 6664946976 6873226569 6990288822 7035221808 7347456864 7467209112 7498065348 7625769624 7914624534 8146046304 8319021408 8400610251 8598604432 8829838512 9164302092 9320385096 9673429986 9956278816 9997420464 10167692832 10485433233 10552832712 11200813668 11438654436 11823081094 11871936801 12219069456 12427180128 12897906648 13244757768 13746453138 13980577644 14070443616 14510144979 14934418224 14996130696 15251539248 15829249068 16801220502 17197208864 17659677024 17734621641 18328604184 18640770192 19346859972 19994840928 20619679707 20970866466 21105665424 22401627336 22877308872 23646162188 23743873602 24438138912 25201830753 25795813296 26489515536 27492906276 27961155288 29020289958 29868836448 29992261392 30503078496 31456299699 31658498136 33602441004 35469243282 35615810403 36657208368 37281540384 38693719944 41239359414 41941732932 42211330848 43530434937 44803254672 45754617744 47292324376 47487747204 50403661506 51591626592 52979031072 53203864923 54985812552 55922310576 58040579916 59984522784 62912599398 63316996272 67204882008 70938486564 71231620806 73314416736 75605492259 77387439888 82478718828 83883465864 87060869874 89606509344 91509235488 94584648752 94975494408 100807323012 106407729846 109971625104 111844621152 116081159832 125825198796 126633992544 130591304811 134409764016 141876973128 142463241612 151210984518 154774879776 159611594769 164957437656 167766931728 174121739748 189169297504 189950988816 201614646024 212815459692 219943250208 226816476777 232162319664 251650397592 261182609622 268819528032 283753946256 284926483224 302421969036 319223189538 329914875312 335533863456 348243479496 379901977632 391773914433 403229292048 425630919384 453632953554 464324639328 478834784307 503300795184 522365219244 567507892512 569852966448 604843938072 638446379076 659829750624 696486958992 783547828866 806458584096 851261838768 907265907108 957669568614 1006601590368 1044730438488 1139705932896 1209687876144 1276892758152 1392973917984 1436504352921 1567095657732 1702523677536 1814531814216 1915339137228 2089460876976 2419375752288 2553785516304 2873008705842 3134191315464 3629063628432 3830678274456 4178921753952 4309513058763 5107571032608 5746017411684 6268382630928 7258127256864 7661356548912 8619026117526 11492034823368 12536765261856 15322713097824 17238052235052 22984069646736 34476104470104 45968139293472 68952208940208 137904417880416
- Sum of all divisors σ(n): 474444817484400
- Sum of proper divisors (its aliquot sum) s(n): 336540399603984
- 137904417880416 is an abundant number, because the sum of its proper divisors (336540399603984) is greater than itself. Its abundance is 198635981723568
Bases of 137904417880416
- Binary: 111110101101100010111111101011100111001011000002
- Hexadecimal: 0x7D6C5FD73960
- Base-36: 1CVSEXTI00
Squares and roots of 137904417880416
- 137904417880416 squared (1379044178804162) is 19017628470936400170076333056
- 137904417880416 cubed (1379044178804163) is 2622614983750510097401019247723433195831296
-
The
square root of 137904417880416 is 11743271.1746095687 -
The
cube root of 137904417880416 is 51664.5589741249
Scales and comparisons
How big is 137904417880416?- 137,904,417,880,416 seconds is equal to 4,384,933 years, 47 weeks, 6 days, 16 hours, 33 minutes, 36 seconds.
-
To count from 1 to 137,904,417,880,416 would take you about ten million, nine hundred sixty-two thousand, three hundred thirty-four 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 137904417880416 cubic inches would be around 4305.4 feet tall.
Recreational maths with 137904417880416
- 137904417880416 backwards is 614088714409731
- The number of decimal digits it has is: 15
- The sum of 137904417880416's digits is 63
- More coming soon!
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The information we have on file for 137904417880416 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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