4142718364753920
4,142,718,364,753,920 is an even composite number composed of seven prime numbers multiplied together.
4142718364753920 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand and sixteen divisors.
Prime factorization of 4142718364753920:
213 × 3 × 5 × 72 × 17 × 1492 × 1823
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 7 × 7 × 17 × 149 × 149 × 1823)See below for interesting mathematical facts about the number 4142718364753920 from the Numbermatics database.
Names of 4142718364753920
- Cardinal: 4142718364753920 can be written as Four quadrillion, one hundred forty-two trillion, seven hundred eighteen billion, three hundred sixty-four million, seven hundred fifty-three thousand, nine hundred twenty.
Scientific notation
- Scientific notation: 4.14271836475392 × 1015
Factors of 4142718364753920
Divisors of 4142718364753920
- Number of divisors d(n): 2016
-
Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 14 15 16 17 20 21 24 28 30 32 34 35 40 42 48 49 51 56 60 64 68 70 80 84 85 96 98 102 105 112 119 120 128 136 140 147 149 160 168 170 192 196 204 210 224 238 240 245 255 256 272 280 294 298 320 336 340 357 384 392 408 420 447 448 476 480 490 510 512 544 560 588 595 596 640 672 680 714 735 745 768 784 816 833 840 894 896 952 960 980 1020 1024 1043 1088 1120 1176 1190 1192 1280 1344 1360 1428 1470 1490 1536 1568 1632 1666 1680 1785 1788 1792 1823 1904 1920 1960 2040 2048 2086 2176 2235 2240 2352 2380 2384 2499 2533 2560 2688 2720 2856 2940 2980 3072 3129 3136 3264 3332 3360 3570 3576 3584 3646 3808 3840 3920 4080 4096 4165 4172 4352 4470 4480 4704 4760 4768 4998 5066 5120 5215 5376 5440 5469 5712 5880 5960 6144 6258 6272 6528 6664 6720 7140 7152 7168 7292 7301 7599 7616 7680 7840 8160 8192 8330 8344 8704 8940 8960 9115 9408 9520 9536 9996 10132 10240 10430 10752 10880 10938 11424 11760 11920 12288 12495 12516 12544 12665 12761 13056 13328 13440 14280 14304 14336 14584 14602 15198 15232 15360 15645 15680 16320 16660 16688 17408 17731 17880 17920 18230 18816 19040 19072 19992 20264 20480 20860 21504 21760 21876 21903 22201 22848 23520 23840 24576 24990 25032 25088 25330 25522 26112 26656 26880 27345 28560 28608 28672 29168 29204 30396 30464 30720 30991 31290 31360 32640 33320 33376 34816 35462 35760 35840 36460 36505 37632 37995 38080 38144 38283 39984 40528 40960 41720 43008 43520 43752 43806 44402 45696 47040 47680 49980 50064 50176 50660 51044 52224 53193 53312 53760 54690 57120 57216 57344 58336 58408 60792 60928 61440 61982 62580 62720 63805 65280 66603 66640 66752 69632 70924 71520 71680 72920 73010 75264 75990 76160 76288 76566 79968 81056 83440 86016 87040 87504 87612 88655 88804 89327 91392 92973 94080 95360 99960 100128 100352 101320 102088 104448 106386 106624 107520 109380 109515 111005 114240 114432 116672 116816 121584 121856 122880 123964 124117 125160 125440 127610 130560 133206 133280 133504 139264 141848 143040 143360 145840 146020 150528 151980 152320 152576 153132 154955 155407 159936 162112 166880 172032 174080 175008 175224 177310 177608 178654 182784 185946 188160 190720 191415 199920 200256 200704 202640 204176 208896 212772 213248 215040 216937 218760 219030 222010 228480 228864 233344 233632 243168 243712 247928 248234 250320 250880 255220 261120 265965 266412 266560 267008 267981 271627 283696 286080 286720 291680 292040 301056 303960 304640 305152 306264 309910 310814 319872 324224 333015 333760 348160 350016 350448 354620 355216 357308 365568 371892 372351 376320 377417 381440 382830 399840 400512 401408 405280 408352 417792 425544 426496 430080 433874 437520 438060 444020 446635 456960 457728 464865 466221 466688 467264 486336 487424 495856 496468 500640 501760 510440 522240 531930 532824 533120 534016 535962 543254 567392 572160 583360 584080 602112 607920 609280 610304 612528 619820 620585 621628 639744 648448 650811 666030 667520 696320 700032 700896 709240 710432 714616 731136 743784 744702 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133674885120 134854113436 135987341280 136291563520 141854484480 142029565440 144486550110 144809786240 145053164032 151498203136 154118986784 155414104320 158651898160 162319503360 163549876224 165127485840 165496898560 165775044608 168567641795 173771743488 176135984896 181316455040 186600529920 189139312640 189372753920 190382277792 192648733480 198596278272 202281170154 204437345280 207218805760 217214679360 217579746048 220169981120 227247304704 231178480176 231695657984 233642680320 237977847240 248245347840 248662566912 253843037056 264203977344 264795037696 269708226872 271974682560 272583127040 283708968960 284059130880 288973100220 289619572480 290106328064 308237973568 310828208640 317303796320 324639006720 327099752448 330254971680 330993797120 331550089216 337135283590 347543486976 352271969792 362632910080 378745507840 380764555584 385297466960 397192556544 404562340308 408874690560 414437611520 434429358720 435159492096 440339962240 454494609408 462356960352 463391315968 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21136318187520 21576658149760 24368931557376 24659037885440 25891989779712 27803478958080 28181757583360 29590845462528 30461164446720 32364987224640 34522653039616 34812759367680 36988556828160 39454460616704 40614885928960 42272636375040 43153316299520 48737863114752 49318075770880 51783979559424 59181690925056 60922328893440 64729974449280 69045306079232 73977113656320 81229771857920 84545272750080 86306632599040 98636151541760 103567959118848 118363381850112 121844657786880 129459948898560 138090612158464 147954227312640 172613265198080 197272303083520 207135918237696 243689315573760 258919897797120 276181224316928 295908454625280 345226530396160 414271836475392 517839795594240 591816909250560 690453060792320 828543672950784 1035679591188480 1380906121584640 2071359182376960 4142718364753920
- Sum of all divisors σ(n): 16446512758814208
- Sum of proper divisors (its aliquot sum) s(n): 12303794394060288
- 4142718364753920 is an abundant number, because the sum of its proper divisors (12303794394060288) is greater than itself. Its abundance is 8161076029306368
Bases of 4142718364753920
- Binary: 11101011011111000111110010001000100100100000000000002
- Hexadecimal: 0xEB7C7C8892000
- Base-36: 14SGYJKK0LC
Squares and roots of 4142718364753920
- 4142718364753920 squared (41427183647539202) is 17162115449669392954542155366400
- 4142718364753920 cubed (41427183647539203) is 71097810851372374001328752984814850343436288000
-
The
square root of 4142718364753920 is 64363952.3705149729 -
The
cube root of 4142718364753920 is 160606.0138135085
Scales and comparisons
How big is 4142718364753920?- 4,142,718,364,753,920 seconds is equal to 131,725,629 years, 37 weeks, 6 days, 16 hours, 32 minutes.
-
To count from 1 to 4,142,718,364,753,920 would take you about three hundred ninety-five million, one hundred seventy-six thousand, eight hundred eighty-nine 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 4142718364753920 cubic inches would be around 13383.8 feet tall.
Recreational maths with 4142718364753920
- 4142718364753920 backwards is 0293574638172414
- The number of decimal digits it has is: 16
- The sum of 4142718364753920's digits is 66
- More coming soon!
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The information we have on file for 4142718364753920 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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