3980949669471504
3,980,949,669,471,504 is an even composite number composed of seven prime numbers multiplied together.
3980949669471504 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of three hundred twenty divisors.
Prime factorization of 3980949669471504:
24 × 3 × 17 × 41 × 73 × 3109 × 524287
(2 × 2 × 2 × 2 × 3 × 17 × 41 × 73 × 3109 × 524287)See below for interesting mathematical facts about the number 3980949669471504 from the Numbermatics database.
Names of 3980949669471504
- Cardinal: 3980949669471504 can be written as Three quadrillion, nine hundred eighty trillion, nine hundred forty-nine billion, six hundred sixty-nine million, four hundred seventy-one thousand, five hundred four.
Scientific notation
- Scientific notation: 3.980949669471504 × 1015
Factors of 3980949669471504
Divisors of 3980949669471504
- Number of divisors d(n): 320
-
Complete list of divisors:
1 2 3 4 6 8 12 16 17 24 34 41 48 51 68 73 82 102 123 136 146 164 204 219 246 272 292 328 408 438 492 584 656 697 816 876 984 1168 1241 1394 1752 1968 2091 2482 2788 2993 3109 3504 3723 4182 4964 5576 5986 6218 7446 8364 8979 9327 9928 11152 11972 12436 14892 16728 17958 18654 19856 23944 24872 29784 33456 35916 37308 47888 49744 50881 52853 59568 71832 74616 101762 105706 127469 143664 149232 152643 158559 203524 211412 226957 254938 305286 317118 382407 407048 422824 453914 509876 524287 610572 634236 680871 764814 814096 845648 907828 1019752 1048574 1221144 1268472 1361742 1529628 1572861 1815656 2039504 2097148 2166973 2442288 2536944 2723484 3059256 3145722 3631312 3858269 4194296 4333946 5446968 6118512 6291444 6500919 7716538 8388592 8667892 8912879 9305237 10893936 11574807 12582888 13001838 15433076 17335784 17825758 18610474 21495767 23149614 25165776 26003676 26738637 27915711 30866152 34671568 35651516 37220948 38272951 42991534 46299228 52007352 53477274 55831422 61732304 64487301 71303032 74441896 76545902 85983068 92598456 104014704 106954548 111662844 114818853 128974602 142606064 148883792 153091804 158189029 171966136 185196912 213909096 223325688 229637706 257949204 306183608 316378058 343932272 365428039 427818192 446651376 459275412 474567087 515898408 612367216 632756116 650640167 730856078 918550824 949134174 1031796816 1096284117 1265512232 1301280334 1461712156 1569190991 1630008283 1837101648 1898268348 1951920501 2192568234 2531024464 2602560668 2923424312 3138381982 3260016566 3796536696 3903841002 4385136468 4707572973 4890024849 5205121336 5846848624 6276763964 6520033132 7593073392 7807682004 8770272936 9415145946 9780049698 10410242672 12553527928 13040066264 15615364008 17540545872 18830291892 19560099396 25107055856 26080132528 26676246847 27710140811 31230728016 37660583784 39120198792 53352493694 55420281622 66830339603 75321167568 78240397584 80028740541 83130422433 106704987388 110840563244 118990604659 133660679206 160057481082 166260844866 200491018809 213409974776 221681126488 237981209318 267321358412 320114962164 332521689732 356971813977 400982037618 426819949552 443362252976 475962418636 534642716824 640229924328 665043379464 713943627954 801964075236 951924837272 1069285433648 1136115773251 1280459848656 1330086758928 1427887255908 1603928150472 1903849674544 2022840279203 2272231546502 2855774511816 3207856300944 3408347319753 4045680558406 4544463093004 4878614791019 5711549023632 6068520837609 6816694639506 8091361116812 9088926186008 9757229582038 12137041675218 13633389279012 14635844373057 16182722233624 18177852372016 19514459164076 24274083350436 27266778558024 29271688746114 32365444467248 39028918328152 48548166700872 54533557116048 58543377492228 78057836656304 82936451447323 97096333401744 117086754984456 165872902894646 234173509968912 248809354341969 331745805789292 497618708683938 663491611578584 995237417367876 1326983223157168 1990474834735752 3980949669471504
- Sum of all divisors σ(n): 11311117322158080
- Sum of proper divisors (its aliquot sum) s(n): 7330167652686576
- 3980949669471504 is an abundant number, because the sum of its proper divisors (7330167652686576) is greater than itself. Its abundance is 3349217983215072
Bases of 3980949669471504
- Binary: 11100010010010100111000100101110101011100101000100002
- Hexadecimal: 0xE24A712EAE510
- Base-36: 1374N144MXC
Squares and roots of 3980949669471504
- 3980949669471504 squared (39809496694715042) is 15847960270865276946686668022016
- 3980949669471504 cubed (39809496694715043) is 63089932202098651264059683250428030631756632064
-
The
square root of 3980949669471504 is 63094767.3699769179 -
The
cube root of 3980949669471504 is 158487.6997818325
Scales and comparisons
How big is 3980949669471504?- 3,980,949,669,471,504 seconds is equal to 126,581,885 years, 31 weeks, 2 days, 14 hours, 58 minutes, 24 seconds.
-
To count from 1 to 3,980,949,669,471,504 would take you about three hundred seventy-nine million, seven hundred forty-five thousand, six hundred fifty-six 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 3980949669471504 cubic inches would be around 13207.3 feet tall.
Recreational maths with 3980949669471504
- 3980949669471504 backwards is 4051749669490893
- The number of decimal digits it has is: 16
- The sum of 3980949669471504's digits is 84
- More coming soon!
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