4080734588889504
4,080,734,588,889,504 is an even composite number composed of six prime numbers multiplied together.
What does the number 4080734588889504 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 288 divisors.
4080734588889504 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two hundred eighty-eight divisors.
Prime factorization of 4080734588889504:
25 × 32 × 7 × 13 × 29 × 5369161547
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 7 × 13 × 29 × 5369161547)See below for interesting mathematical facts about the number 4080734588889504 from the Numbermatics database.
Names of 4080734588889504
- Cardinal: 4080734588889504 can be written as Four quadrillion, eighty trillion, seven hundred thirty-four billion, five hundred eighty-eight million, eight hundred eighty-nine thousand, five hundred four.
Scientific notation
- Scientific notation: 4.080734588889504 × 1015
Factors of 4080734588889504
- Number of distinct prime factors ω(n): 6
- Total number of prime factors Ω(n): 11
- Sum of prime factors: 5369161601
Divisors of 4080734588889504
- Number of divisors d(n): 288
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Complete list of divisors:
1 2 3 4 6 7 8 9 12 13 14 16 18 21 24 26 28 29 32 36 39 42 48 52 56 58 63 72 78 84 87 91 96 104 112 116 117 126 144 156 168 174 182 203 208 224 232 234 252 261 273 288 312 336 348 364 377 406 416 464 468 504 522 546 609 624 672 696 728 754 812 819 928 936 1008 1044 1092 1131 1218 1248 1392 1456 1508 1624 1638 1827 1872 2016 2088 2184 2262 2436 2639 2784 2912 3016 3248 3276 3393 3654 3744 4176 4368 4524 4872 5278 6032 6496 6552 6786 7308 7917 8352 8736 9048 9744 10556 12064 13104 13572 14616 15834 18096 19488 21112 23751 26208 27144 29232 31668 36192 42224 47502 54288 58464 63336 84448 95004 108576 126672 190008 253344 380016 760032 5369161547 10738323094 16107484641 21476646188 32214969282 37584130829 42953292376 48322453923 64429938564 69799100111 75168261658 85906584752 96644907846 112752392487 128859877128 139598200222 150336523316 155705684863 171813169504 193289815692 209397300333 225504784974 257719754256 279196400444 300673046632 311411369726 338257177461 386579631384 418794600666 451009569948 467117054589 488593700777 515439508512 558392800888 601346093264 622822739452 628191900999 676514354922 773159262768 837589201332 902019139896 934234109178 977187401554 1089939794041 1116785601776 1202692186528 1245645478904 1256383801998 1353028709844 1401351163767 1465781102331 1546318525536 1675178402664 1804038279792 1868468218356 1954374803108 2024173903219 2179879588082 2233571203552 2491290957808 2512767603996 2706057419688 2802702327534 2931562204662 3269819382123 3350356805328 3608076559584 3736936436712 3908749606216 4048347806438 4359759176164 4397343306993 4982581915616 5025535207992 5412114839376 5605404655068 5863124409324 6072521709657 6539638764246 6700713610656 7473872873424 7817499212432 8096695612876 8719518352328 8794686613986 9809458146369 10051070415984 10824229678752 11210809310136 11726248818648 12145043419314 13079277528492 14169217322533 14947745746848 15634998424864 16193391225752 17439036704656 17589373227972 18217565128971 19618916292738 20102140831968 22421618620272 23452497637296 24290086838628 26158555056984 28338434645066 32386782451504 34878073409312 35178746455944 36435130257942 39237832585476 42507651967599 44843237240544 46904995274592 48580173677256 52317110113968 56676869290132 64773564903008 70357492911888 72870260515884 78475665170952 85015303935198 97160347354512 104634220227936 113353738580264 127522955902797 140714985823776 145740521031768 156951330341904 170030607870396 194320694709024 226707477160528 255045911805594 291481042063536 313902660683808 340061215740792 453414954321056 510091823611188 582962084127072 680122431481584 1020183647222376 1360244862963168 2040367294444752 4080734588889504
- Sum of all divisors σ(n): 14775073514248320
- Sum of proper divisors (its aliquot sum) s(n): 10694338925358816
- 4080734588889504 is an abundant number, because the sum of its proper divisors (10694338925358816) is greater than itself. Its abundance is 6613604336469312
Bases of 4080734588889504
- Binary: 11100111111101101000000011111001011111101001101000002
- Hexadecimal: 0xE7F680F97E9A0
- Base-36: 146HZL8S2W0
Squares and roots of 4080734588889504
- 4080734588889504 squared (40807345888895042) is 16652394784959189222719921366016
- 4080734588889504 cubed (40807345888895043) is 67954003386826157400390357205307959896164696064
-
The
square root of 4080734588889504 is 63880627.6494643089 -
The
cube root of 4080734588889504 is 159800.9841832061
Scales and comparisons
How big is 4080734588889504?- 4,080,734,588,889,504 seconds is equal to 129,754,737 years, 20 weeks, 10 hours, 38 minutes, 24 seconds.
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To count from 1 to 4,080,734,588,889,504 would take you about three hundred eighty-nine million, two hundred sixty-four thousand, two hundred twelve 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 4080734588889504 cubic inches would be around 13316.7 feet tall.
Recreational maths with 4080734588889504
- 4080734588889504 backwards is 4059888854370804
- The number of decimal digits it has is: 16
- The sum of 4080734588889504's digits is 81
- More coming soon!
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