34428764983984
34,428,764,983,984 is an even composite number composed of five prime numbers multiplied together.
What does the number 34428764983984 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 360 divisors.
34428764983984 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of three hundred sixty divisors.
Prime factorization of 34428764983984:
24 × 72 × 31 × 613 × 792
(2 × 2 × 2 × 2 × 7 × 7 × 31 × 61 × 61 × 61 × 79 × 79)See below for interesting mathematical facts about the number 34428764983984 from the Numbermatics database.
Names of 34428764983984
- Cardinal: 34428764983984 can be written as Thirty-four trillion, four hundred twenty-eight billion, seven hundred sixty-four million, nine hundred eighty-three thousand, nine hundred eighty-four.
Scientific notation
- Scientific notation: 3.4428764983984 × 1013
Factors of 34428764983984
Divisors of 34428764983984
- Number of divisors d(n): 360
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Complete list of divisors:
1 2 4 7 8 14 16 28 31 49 56 61 62 79 98 112 122 124 158 196 217 244 248 316 392 427 434 488 496 553 632 784 854 868 976 1106 1264 1519 1708 1736 1891 2212 2449 2989 3038 3416 3472 3721 3782 3871 4424 4819 4898 5978 6076 6241 6832 7442 7564 7742 8848 9638 9796 11956 12152 12482 13237 14884 15128 15484 17143 19276 19592 23912 24304 24964 26047 26474 29768 30256 30968 33733 34286 38552 39184 43687 47824 49928 52094 52948 59536 61936 67466 68572 77104 87374 92659 99856 104188 105896 115351 120001 134932 137144 149389 174748 182329 185318 193471 208376 211792 226981 230702 236131 240002 269864 274288 293959 298778 305809 349496 364658 370636 380701 386942 416752 453962 461404 472262 480004 539728 587918 597556 611618 698992 729316 741272 761402 773884 807457 907924 922808 944524 960008 1045723 1175836 1195112 1223236 1354297 1458632 1482544 1522804 1547768 1588867 1614914 1815848 1845616 1889048 1920016 2057713 2091446 2351672 2390224 2446472 2664907 2708594 2917264 3045608 3095536 3177734 3229828 3631696 3778096 4115426 4182892 4703344 4892944 5329814 5417188 5652199 6091216 6355468 6459656 7036411 7320061 8230852 8365784 9112729 9480079 10659628 10834376 11122069 11304398 11801731 12710936 12919312 14072822 14403991 14640122 16461704 16731568 17931499 18225458 18654349 18960158 21319256 21668752 22244138 22608796 23222761 23603462 25421872 28145644 28807982 29280244 32923408 35862998 36450916 37308698 37920316 42638512 44488276 45217592 46445522 47206924 49254877 56291288 57615964 58560488 63789103 71725996 72901832 74617396 75840632 82612117 88976552 90435184 92891044 94413848 98509754 112582576 115231928 117120976 125520493 127578206 143451992 145803664 149234792 151681264 162559327 165224234 177953104 185782088 188827696 197019508 230463856 251040986 255156412 286903984 298469584 325118654 330448468 344784139 371564176 394039016 446523721 502081972 510312824 555876469 578284819 650237308 660896936 689568278 719905591 788078032 878643451 893047442 1004163944 1020625648 1111752938 1137915289 1156569638 1300474616 1321793872 1379136556 1416588421 1439811182 1757286902 1786094884 2008327888 2223505876 2275830578 2313139276 2600949232 2758273112 2833176842 2879622364 3514573804 3572189768 3891135283 4447011752 4551661156 4626278552 5039339137 5516546224 5666353684 5759244728 7029147608 7144379536 7782270566 8894023504 9103322312 9252557104 9916118947 10078678274 11332707368 11518489456 14058295216 15564541132 18206644624 19832237894 20157356548 22665414736 27237946981 31129082264 35275373959 39664475788 40314713096 43914241051 54475893962 62258164528 69412832629 70550747918 79328951576 80629426192 87828482102 108951787924 138825665258 141101495836 158657903152 175656964204 217903575848 277651330516 282202991672 307399687357 351313928408 435807151696 555302661032 564405983344 614799374714 702627856816 1110605322064 1229598749428 2151797811499 2459197498856 4303595622998 4918394997712 8607191245996 17214382491992 34428764983984
- Sum of all divisors σ(n): 82478428292736
- Sum of proper divisors (its aliquot sum) s(n): 48049663308752
- 34428764983984 is an abundant number, because the sum of its proper divisors (48049663308752) is greater than itself. Its abundance is 13620898324768
Bases of 34428764983984
- Binary: 1111101010000000100100100111010010010101100002
- Hexadecimal: 0x1F50124E92B0
- Base-36: C7CCTQW8G
Squares and roots of 34428764983984
- 34428764983984 squared (344287649839842) is 1185339858322402799776512256
- 34428764983984 cubed (344287649839843) is 40809787408330897057955989740223219707904
-
The
square root of 34428764983984 is 5867603.0015658013 -
The
cube root of 34428764983984 is 32531.7291660413
Scales and comparisons
How big is 34428764983984?- 34,428,764,983,984 seconds is equal to 1,094,728 years, 12 weeks, 4 hours, 53 minutes, 4 seconds.
-
To count from 1 to 34,428,764,983,984 would take you about two million, seven hundred thirty-six thousand, eight hundred twenty 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 34428764983984 cubic inches would be around 2711 feet tall.
Recreational maths with 34428764983984
- 34428764983984 backwards is 48938946782443
- 34428764983984 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 34428764983984's digits is 79
- More coming soon!
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