137964005340672
137,964,005,340,672 is an even composite number composed of six prime numbers multiplied together.
137964005340672 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of seven hundred twenty divisors.
Prime factorization of 137964005340672:
29 × 3 × 72 × 67 × 131 × 4572
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 7 × 7 × 67 × 131 × 457 × 457)See below for interesting mathematical facts about the number 137964005340672 from the Numbermatics database.
Names of 137964005340672
- Cardinal: 137964005340672 can be written as One hundred thirty-seven trillion, nine hundred sixty-four billion, five million, three hundred forty thousand, six hundred seventy-two.
Scientific notation
- Scientific notation: 1.37964005340672 × 1014
Factors of 137964005340672
Divisors of 137964005340672
- Number of divisors d(n): 720
-
Complete list of divisors:
1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 64 67 84 96 98 112 128 131 134 147 168 192 196 201 224 256 262 268 294 336 384 392 393 402 448 457 469 512 524 536 588 672 768 784 786 804 896 914 917 938 1048 1072 1176 1344 1371 1407 1536 1568 1572 1608 1792 1828 1834 1876 2096 2144 2352 2688 2742 2751 2814 3136 3144 3199 3216 3283 3584 3656 3668 3752 4192 4288 4704 5376 5484 5502 5628 6272 6288 6398 6419 6432 6566 7312 7336 7504 8384 8576 8777 9408 9597 9849 10752 10968 11004 11256 12544 12576 12796 12838 12864 13132 14624 14672 15008 16768 17152 17554 18816 19194 19257 19698 21936 22008 22393 22512 25088 25152 25592 25676 25728 26264 26331 29248 29344 30016 30619 33536 34304 35108 37632 38388 38514 39396 43872 44016 44786 45024 50304 51184 51352 51456 52528 52662 58496 58688 59867 60032 61238 61439 67072 67179 70216 75264 76776 77028 78792 87744 88032 89572 90048 91857 100608 102368 102704 102912 105056 105324 116992 117376 119734 120064 122476 122878 134358 140432 153552 154056 157584 175488 176064 179144 179601 180096 183714 184317 201216 204736 205408 208849 210112 210648 214333 233984 234752 239468 240128 244952 245756 268716 280864 307104 308112 315168 350976 352128 358288 359202 360192 367428 368634 409472 410816 417698 419069 420224 421296 428666 430073 469504 478936 489904 491512 537432 561728 614208 616224 626547 630336 642999 701952 704256 716576 718404 720384 734856 737268 818944 821632 835396 838138 840448 842592 857332 860146 957872 979808 983024 1074864 1123456 1228416 1232448 1253094 1257207 1260672 1285998 1290219 1408512 1433152 1436808 1461943 1469712 1474536 1500331 1637888 1643264 1670792 1676276 1680896 1685184 1714664 1720292 1915744 1959616 1966048 2149728 2246912 2456832 2464896 2506188 2514414 2521344 2571996 2580438 2866304 2873616 2923886 2933483 2939424 2949072 3000662 3286528 3341584 3352552 3370368 3429328 3440584 3831488 3919232 3932096 4011089 4299456 4385829 4493824 4500993 4913664 4929792 5012376 5028828 5042688 5143992 5160876 5732608 5747232 5847772 5866966 5878848 5898144 6001324 6683168 6705104 6740736 6858656 6881168 7662976 7838464 7864192 8022178 8598912 8771658 8800449 9001986 9859584 10024752 10057656 10233601 10287984 10321752 11465216 11494464 11695544 11733932 11757696 11796288 12002648 12033267 13366336 13410208 13481472 13717312 13762336 13992883 15325952 15676928 15728384 16044356 17197824 17543316 17600898 18003972 20049504 20115312 20467202 20575968 20643504 22988928 23391088 23467864 23515392 23592576 24005296 24066534 26732672 26820416 27359219 27434624 27524672 27985766 28077623 30651904 30700803 31456768 32088712 34395648 35086632 35201796 36007944 40099008 40230624 40934404 41151936 41287008 41978649 45977856 46782176 46935728 47030784 47185152 48010592 48133068 53465344 53640832 54718438 54869248 55049344 55971532 56155246 61401606 64177424 70173264 70403592 72015888 80198016 80461248 81868808 82077657 82303872 82574016 83957298 84232869 91955712 93564352 93871456 94370304 96021184 96266136 97950181 106930688 107281664 109436876 109738496 110098688 111943064 112310492 122803212 128354848 140346528 140807184 144031776 160396032 160922496 163737616 164155314 164607744 165148032 167914596 168465738 187128704 187742912 191514533 192042368 192532272 195900362 196543361 214563328 218873752 220197376 223886128 224620984 245606424 256709696 280693056 281614368 288063552 293850543 320792064 321844992 327475232 328310628 329215488 330296064 335829192 336931476 374257408 375485824 383029066 384084736 385064544 391800724 393086722 437747504 447772256 449241968 491212848 513419392 561386112 563228736 574543599 576127104 587701086 589630083 643689984 654950464 656621256 660592128 671658384 673862952 685651267 748514816 750971648 766058132 768169472 770129088 783601448 786173444 875495008 895544512 898483936 982425696 1026838784 1122772224 1126457472 1149087198 1152254208 1175402172 1179260166 1309900928 1313242512 1340601731 1343316768 1347725904 1371302534 1501943296 1532116264 1540258176 1567202896 1572346888 1750990016 1791089024 1796967872 1833067673 1964851392 2053677568 2056953801 2245544448 2252914944 2298174396 2304508416 2350804344 2358520332 2619801856 2626485024 2681203462 2686633536 2695451808 2742605068 3064232528 3080516352 3134405792 3144693776 3501980032 3582178048 3593935744 3666135346 3929702784 4021805193 4113907602 4505829888 4596348792 4701608688 4717040664 5239603712 5252970048 5362406924 5373267072 5390903616 5485210136 5499203019 6128465056 6161032704 6268811584 6289387552 7003960064 7164356096 7187871488 7332270692 7859405568 8043610386 8227815204 9192697584 9403217376 9434081328 10505940096 10724813848 10746534144 10781807232 10970420272 10998406038 12256930112 12537623168 12578775104 12831473711 14007920128 14375742976 14664541384 15718811136 16087220772 16455630408 18385395168 18806434752 18868162656 21011880192 21449627696 21493068288 21563614464 21940840544 21996812076 24513860224 25075246336 25157550208 25662947422 29329082768 32174441544 32911260816 36770790336 37612869504 37736325312 38494421133 42023760384 42899255392 43127228928 43881681088 43993624152 49027720448 50150492672 50315100416 51325894844 58658165536 64348883088 65822521632 73541580672 75225739008 75472650624 76988842266 85798510784 87763362176 87987248304 89820315977 98055440896 100630200832 102651789688 117316331072 128697766176 131645043264 147083161344 150451478016 150945301248 153977684532 171597021568 175526724352 175974496608 179640631954 205303579376 234632662144 257395532352 263290086528 269460947931 294166322688 301890602496 307955369064 343194043136 351053448704 351948993216 359281263908 410607158752 469265324288 514791064704 526580173056 538921895862 615910738128 686388086272 703897986432 718562527816 821214317504 938530648576 1029582129408 1053160346112 1077843791724 1231821476256 1407795972864 1437125055632 1642428635008 2059164258816 2155687583448 2463642952512 2815591945728 2874250111264 3284857270016 4311375166896 4927285905024 5748500222528 6569714540032 8622750333792 9854571810048 11497000445056 17245500667584 19709143620096 22994000890112 34491001335168 45988001780224 68982002670336 137964005340672
- Sum of all divisors σ(n): 438204746726208
- Sum of proper divisors (its aliquot sum) s(n): 300240741385536
- 137964005340672 is an abundant number, because the sum of its proper divisors (300240741385536) is greater than itself. Its abundance is 162276736044864
Bases of 137964005340672
- Binary: 111110101111010001111111000011110110110000000002
- Hexadecimal: 0x7D7A3F87B600
- Base-36: 1CWJSENKLC
Squares and roots of 137964005340672
- 137964005340672 squared (1379640053406722) is 19034066769640972138777411584
- 137964005340672 cubed (1379640053406723) is 2626016089461454522906276766123612279144448
-
The
square root of 137964005340672 is 11745807.9901159633 -
The
cube root of 137964005340672 is 51671.9991915373
Scales and comparisons
How big is 137964005340672?- 137,964,005,340,672 seconds is equal to 4,386,828 years, 32 weeks, 1 day, 8 hours, 51 minutes, 12 seconds.
-
To count from 1 to 137,964,005,340,672 would take you about ten million, nine hundred sixty-seven thousand and seventy-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 137964005340672 cubic inches would be around 4306 feet tall.
Recreational maths with 137964005340672
- 137964005340672 backwards is 276043500469731
- The number of decimal digits it has is: 15
- The sum of 137964005340672's digits is 57
- More coming soon!
Link to this page
HTML: To link to this page, just copy and paste the link below into your blog, web page or email.
BBCODE: To link to this page in a forum post or comment box, just copy and paste the link code below:
Cite this page
MLA style:
"Number 137964005340672 - Facts about the integer". Numbermatics.com. 2024. Web. 14 June 2024.
APA style:
Numbermatics. (2024). Number 137964005340672 - Facts about the integer. Retrieved 14 June 2024, from https://numbermatics.com/n/137964005340672/
Chicago style:
Numbermatics. 2024. "Number 137964005340672 - Facts about the integer". https://numbermatics.com/n/137964005340672/
The information we have on file for 137964005340672 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!
Keywords: Divisors of 137964005340672, math, Factors of 137964005340672, curriculum, school, college, exams, university, Prime factorization of 137964005340672, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-seven trillion, nine hundred sixty-four billion, five million, three hundred forty thousand, six hundred seventy-two.