137412634268416
137,412,634,268,416 is an even composite number composed of five prime numbers multiplied together.
137412634268416 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of six hundred forty-eight divisors.
Prime factorization of 137412634268416:
28 × 133 × 192 × 732 × 127
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 13 × 13 × 13 × 19 × 19 × 73 × 73 × 127)See below for interesting mathematical facts about the number 137412634268416 from the Numbermatics database.
Names of 137412634268416
- Cardinal: 137412634268416 can be written as One hundred thirty-seven trillion, four hundred twelve billion, six hundred thirty-four million, two hundred sixty-eight thousand, four hundred sixteen.
Scientific notation
- Scientific notation: 1.37412634268416 × 1014
Factors of 137412634268416
Divisors of 137412634268416
- Number of divisors d(n): 648
-
Complete list of divisors:
1 2 4 8 13 16 19 26 32 38 52 64 73 76 104 127 128 146 152 169 208 247 254 256 292 304 338 361 416 494 508 584 608 676 722 832 949 988 1016 1168 1216 1352 1387 1444 1651 1664 1898 1976 2032 2197 2336 2413 2432 2704 2774 2888 3211 3302 3328 3796 3952 4064 4394 4672 4693 4826 4864 5329 5408 5548 5776 6422 6604 7592 7904 8128 8788 9271 9344 9386 9652 10658 10816 11096 11552 12337 12844 13208 15184 15808 16256 17576 18031 18542 18688 18772 19304 21316 21463 21632 22192 23104 24674 25688 26353 26416 30368 31369 31616 32512 35152 36062 37084 37544 38608 41743 42632 42926 43264 44384 45847 46208 49348 51376 52706 52832 60736 61009 62738 63232 69277 70304 72124 74168 75088 77216 83486 85264 85852 88768 91694 92416 98696 101251 102752 105412 105664 120523 121472 122018 125476 138554 140608 144248 148336 150176 154432 160381 166972 170528 171704 176149 177536 183388 197392 202502 205504 210824 211328 234403 241046 242944 244036 250952 277108 279019 281216 288496 296672 300352 308864 320762 333944 341056 342589 343408 352298 355072 366776 394784 405004 407797 411008 421648 422656 468806 482092 488072 501904 554216 558038 562432 576992 593344 596011 600704 617728 641524 667888 676783 682112 685178 686816 704596 733552 789568 793117 810008 815594 822016 843296 900601 937612 964184 976144 1003808 1108432 1116076 1153984 1186688 1192022 1201408 1283048 1316263 1335776 1353566 1364224 1370356 1373632 1409192 1467104 1566799 1579136 1586234 1620016 1631188 1686592 1801202 1875224 1923769 1928368 1952288 2007616 2216864 2232152 2289937 2307968 2373376 2384044 2566096 2632526 2671552 2707132 2740712 2747264 2818384 2934208 3047239 3133598 3158272 3172468 3240032 3262376 3346831 3373184 3602404 3750448 3847538 3856736 3904576 4015232 4433728 4453657 4464304 4579874 4615936 4768088 5132192 5265052 5301361 5343104 5414264 5481424 5494528 5636768 5868416 6094478 6267196 6344936 6480064 6524752 6693662 6746368 7204808 7500896 7695076 7713472 7748143 7809152 8030464 8798179 8867456 8907314 8928608 9159748 9536176 10264384 10530104 10602722 10686208 10828528 10962848 11273536 11707813 11736832 12188956 12534392 12689872 12858877 12960128 13049504 13387324 14409616 15001792 15390152 15426944 15496286 15618304 17111419 17596358 17734912 17814628 17857216 18319496 19072352 20368387 20528768 21060208 21205444 21657056 21925696 22547072 23415626 24377912 25008997 25068784 25379744 25717754 25920256 26099008 26774648 28819232 29769181 30003584 30780304 30853888 30992572 34222838 35192716 35629256 35714432 36638992 38144704 40736774 41057536 42120416 42410888 43314112 43508803 43851392 45094144 46831252 48755824 50017994 50137568 50759488 51435508 52198016 53549296 57638464 57897541 59538362 60007168 61560608 61985144 68445676 70385432 71258512 71428864 73277984 76289408 81473548 84240832 84821776 86628224 87017606 87702784 93662504 97511648 100035988 100275136 100725859 101518976 102871016 104396032 107098592 114376327 115276928 115795082 119076724 123121216 123970288 136891352 140770864 142517024 146555968 152578816 162947096 167165401 168481664 169643552 173256448 174035212 187325008 195023296 200071976 200550272 201451718 203037952 205742032 214197184 222448447 228752654 230553856 231590164 238153448 244318663 246242432 247940576 273782704 281541728 285034048 293111936 325116961 325894192 334330802 336963328 339287104 348070424 374650016 386999353 390046592 400143952 401100544 402903436 411484064 428394368 444896894 457505308 463180328 476306896 488637326 492484864 495881152 547565408 563083456 565614439 570068096 586223872 650233922 651788384 668661604 678574208 696140848 749300032 773998706 780093184 800287904 805806872 822968128 856788736 889793788 915010616 926360656 952613792 977274652 991762304 1095130816 1126166912 1131228878 1140136192 1300467844 1303576768 1337323208 1357148416 1392281696 1486892251 1498600064 1547997412 1600575808 1611613744 1645936256 1779587576 1830021232 1852721312 1905227584 1954549304 1983524608 2173150213 2190261632 2252333824 2262457756 2600935688 2607153536 2674646416 2784563392 2973784502 2997200128 3095994824 3176142619 3201151616 3223227488 3291872512 3559175152 3660042464 3705442624 3810455168 3909098608 4226520493 4346300426 4380523264 4524915512 5201871376 5214307072 5349292832 5569126784 5947569004 6191989648 6352285238 6402303232 6446454976 7118350304 7320084928 7352987707 7410885248 7620910336 7818197216 8453040986 8692600852 9049831024 10403742752 10698585664 11138253568 11895138008 12383979296 12704570476 12892909952 14236700608 14640169856 14705975414 14821770496 15636394432 16906081972 17385201704 18099662048 20807485504 21397171328 23790276016 24767958592 25409140952 25785819904 28250952769 28473401216 29280339712 29411950828 31272788864 33812163944 34770403408 36199324096 41289854047 41614971008 42794342656 47580552032 49535917184 50818281904 56501905538 56946802432 58823901656 62545577728 67624327888 69540806816 72398648192 82579708094 83229942016 95161104064 99071834368 101636563808 113003811076 117647803312 135248655776 139081613632 144797296384 165159416188 190322208128 203273127616 226007622152 235295606624 270497311552 278163227264 330318832376 380644416256 406546255232 452015244304 470591213248 536768102611 540994623104 556326454528 660637664752 813092510464 904030488608 941182426496 1073536205222 1081989246208 1321275329504 1808060977216 1882364852992 2147072410444 2642550659008 3616121954432 4294144820888 5285101318016 7232243908864 8588289641776 10570202636032 17176579283552 34353158567104 68706317134208 137412634268416
- Sum of all divisors σ(n): 320455529694720
- Sum of proper divisors (its aliquot sum) s(n): 183042895426304
- 137412634268416 is an abundant number, because the sum of its proper divisors (183042895426304) is greater than itself. Its abundance is 45630261157888
Bases of 137412634268416
- Binary: 111110011111001110111110100000011010011000000002
- Hexadecimal: 0x7CF9DF40D300
- Base-36: 1CPIHQJYF4
Squares and roots of 137412634268416
- 137412634268416 squared (1374126342684162) is 18882232056585455207535149056
- 137412634268416 cubed (1374126342684163) is 2594657247762937645856863024353328073015296
-
The
square root of 137412634268416 is 11722313.5203088643 -
The
cube root of 137412634268416 is 51603.0718315795
Scales and comparisons
How big is 137412634268416?- 137,412,634,268,416 seconds is equal to 4,369,296 years, 37 weeks, 4 days, 17 hours, 40 minutes, 16 seconds.
-
To count from 1 to 137,412,634,268,416 would take you about ten million, nine hundred twenty-three thousand, two hundred forty-one 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 137412634268416 cubic inches would be around 4300.3 feet tall.
Recreational maths with 137412634268416
- 137412634268416 backwards is 614862436214731
- The number of decimal digits it has is: 15
- The sum of 137412634268416's digits is 58
- More coming soon!
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The information we have on file for 137412634268416 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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