4138468914032640
4,138,468,914,032,640 is an even composite number composed of seven prime numbers multiplied together.
4138468914032640 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, two hundred forty-eight divisors.
Prime factorization of 4138468914032640:
212 × 32 × 5 × 11 × 71 × 1289 × 22303
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 11 × 71 × 1289 × 22303)See below for interesting mathematical facts about the number 4138468914032640 from the Numbermatics database.
Names of 4138468914032640
- Cardinal: 4138468914032640 can be written as Four quadrillion, one hundred thirty-eight trillion, four hundred sixty-eight billion, nine hundred fourteen million, thirty-two thousand, six hundred forty.
Scientific notation
- Scientific notation: 4.13846891403264 × 1015
Factors of 4138468914032640
Divisors of 4138468914032640
- Number of divisors d(n): 1248
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 30 32 33 36 40 44 45 48 55 60 64 66 71 72 80 88 90 96 99 110 120 128 132 142 144 160 165 176 180 192 198 213 220 240 256 264 284 288 320 330 352 355 360 384 396 426 440 480 495 512 528 568 576 639 640 660 704 710 720 768 781 792 852 880 960 990 1024 1056 1065 1136 1152 1278 1280 1289 1320 1408 1420 1440 1536 1562 1584 1704 1760 1920 1980 2048 2112 2130 2272 2304 2343 2556 2560 2578 2640 2816 2840 2880 3072 3124 3168 3195 3408 3520 3840 3867 3905 3960 4096 4224 4260 4544 4608 4686 5112 5120 5156 5280 5632 5680 5760 6144 6248 6336 6390 6445 6816 7029 7040 7680 7734 7810 7920 8448 8520 9088 9216 9372 10224 10240 10312 10560 11264 11360 11520 11601 11715 12288 12496 12672 12780 12890 13632 14058 14080 14179 15360 15468 15620 15840 16896 17040 18176 18432 18744 19335 20448 20480 20624 21120 22303 22528 22720 23040 23202 23430 24992 25344 25560 25780 27264 28116 28160 28358 30720 30936 31240 31680 33792 34080 35145 36352 36864 37488 38670 40896 41248 42240 42537 44606 45056 45440 46080 46404 46860 49984 50688 51120 51560 54528 56232 56320 56716 58005 61440 61872 62480 63360 66909 67584 68160 70290 70895 72704 74976 77340 81792 82496 84480 85074 89212 90880 91519 92160 92808 93720 99968 101376 102240 103120 109056 111515 112464 112640 113432 116010 123744 124960 126720 127611 133818 135168 136320 140580 141790 145408 149952 154680 163584 164992 168960 170148 178424 181760 183038 184320 185616 187440 199936 200727 202752 204480 206240 212685 218112 223030 224928 225280 226864 232020 245333 247488 249920 253440 255222 267636 272640 274557 281160 283580 290816 299904 309360 327168 329984 334545 337920 340296 356848 363520 366076 371232 374880 399872 401454 405504 408960 412480 425370 436224 446060 449856 453728 457595 464040 490666 494976 499840 506880 510444 535272 545280 549114 562320 567160 599808 618720 638055 654336 659968 669090 675840 680592 713696 727040 732152 735999 742464 749760 799744 802908 817920 823671 824960 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195950232672 200662767360 202073677443 202389911680 214040285184 220788994560 224526308270 227688650640 242867894016 244937790840 261266976896 264946793472 267550356480 269431569924 291873116160 293925349008 294385326080 303584867520 321060427776 323823858688 326583721120 331183491840 336789462405 353262391296 356733808640 359242093232 364301841024 367406686260 391900465344 401325534720 404147354886 404779823360 441577989120 449052616540 455377301280 485735788032 489875581680 522533953792 529893586944 535100712960 538863139848 587850698016 588770652160 607169735040 642120855552 647647717376 653167442240 662366983680 673578924810 718484186464 728603682048 734813372520 783800930688 802651069440 808294709772 809559646720 883155978240 898105233080 910754602560 971471576064 979751163360 1010368387215 1045067907584 1059787173888 1070201425920 1077726279696 1175701396032 1214339470080 1295295434752 1306334884480 1324733967360 1347157849620 1436968372928 1457207364096 1469626745040 1567601861376 1605302138880 1616589419544 1619119293440 1766311956480 1796210466160 1821509205120 1942943152128 1959502326720 2020736774430 2090135815168 2155452559392 2351402792064 2428678940160 2612669768960 2649467934720 2694315699240 2873936745856 2914414728192 2939253490080 3135203722752 3210604277760 3233178839088 3238238586880 3592420932320 3643018410240 3885886304256 3919004653440 4041473548860 4180271630336 4310905118784 4702805584128 4857357880320 5225339537920 5298935869440 5388631398480 5747873491712 5828829456384 5878506980160 6270407445504 6466357678176 6476477173760 7184841864640 7286036820480 7838009306880 8082947097720 8360543260672 8621810237568 9405611168256 9714715760640 10450679075840 10777262796960 11495746983424 11657658912768 11757013960320 12540814891008 12932715356352 14369683729280 14572073640960 15676018613760 16165894195440 17243620475136 18811222336512 19429431521280 20901358151680 21554525593920 22991493966848 23514027920640 25081629782016 25865430712704 28739367458560 29144147281920 31352037227520 32331788390880 34487240950272 37622444673024 41802716303360 43109051187840 45982987933696 47028055841280 51730861425408 57478734917120 58288294563840 62704074455040 64663576781760 68974481900544 75244889346048 86218102375680 91965975867392 94056111682560 103461722850816 114957469834240 125408148910080 129327153563520 137948963801088 172436204751360 188112223365120 206923445701632 229914939668480 258654307127040 275897927602176 344872409502720 376224446730240 413846891403264 459829879336960 517308614254080 689744819005440 827693782806528 1034617228508160 1379489638010880 2069234457016320 4138468914032640
- Sum of all divisors σ(n): 15882458814443520
- Sum of proper divisors (its aliquot sum) s(n): 11743989900410880
- 4138468914032640 is an abundant number, because the sum of its proper divisors (11743989900410880) is greater than itself. Its abundance is 7605520986378240
Bases of 4138468914032640
- Binary: 11101011001111101010011000011000100011110000000000002
- Hexadecimal: 0xEB3EA6188F000
- Base-36: 14QYQDFBB40
Squares and roots of 4138468914032640
- 4138468914032640 squared (41384689140326402) is 17126924952414498646706985369600
- 4138468914032640 cubed (41384689140326403) is 70879246508537354722738736654570916616863744000
-
The
square root of 4138468914032640 is 64330932.7931178067 -
The
cube root of 4138468914032640 is 160551.0804122043
Scales and comparisons
How big is 4138468914032640?- 4,138,468,914,032,640 seconds is equal to 131,590,510 years, 17 weeks, 5 days, 6 hours, 24 minutes.
-
To count from 1 to 4,138,468,914,032,640 would take you about three hundred ninety-four million, seven hundred seventy-one thousand, five hundred thirty-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 4138468914032640 cubic inches would be around 13379.3 feet tall.
Recreational maths with 4138468914032640
- 4138468914032640 backwards is 0462304198648314
- The number of decimal digits it has is: 16
- The sum of 4138468914032640's digits is 63
- More coming soon!
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The information we have on file for 4138468914032640 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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