34042711616593920
34,042,711,616,593,920 is an even composite number composed of five prime numbers multiplied together.
34042711616593920 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two thousand, two hundred forty divisors.
Prime factorization of 34042711616593920:
213 × 34 × 5 × 413 × 533
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 41 × 41 × 41 × 53 × 53 × 53)See below for interesting mathematical facts about the number 34042711616593920 from the Numbermatics database.
Names of 34042711616593920
- Cardinal: 34042711616593920 can be written as Thirty-four quadrillion, forty-two trillion, seven hundred eleven billion, six hundred sixteen million, five hundred ninety-three thousand, nine hundred twenty.
Scientific notation
- Scientific notation: 3.404271161659392 × 1016
Factors of 34042711616593920
Divisors of 34042711616593920
- Number of divisors d(n): 2240
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 41 45 48 53 54 60 64 72 80 81 82 90 96 106 108 120 123 128 135 144 159 160 162 164 180 192 205 212 216 240 246 256 265 270 288 318 320 324 328 360 369 384 405 410 424 432 477 480 492 512 530 540 576 615 636 640 648 656 720 738 768 795 810 820 848 864 954 960 984 1024 1060 1080 1107 1152 1230 1272 1280 1296 1312 1431 1440 1476 1536 1590 1620 1640 1681 1696 1728 1845 1908 1920 1968 2048 2120 2160 2173 2214 2304 2385 2460 2544 2560 2592 2624 2809 2862 2880 2952 3072 3180 3240 3280 3321 3362 3392 3456 3690 3816 3840 3936 4096 4240 4293 4320 4346 4428 4608 4770 4920 5043 5088 5120 5184 5248 5535 5618 5724 5760 5904 6144 6360 6480 6519 6560 6642 6724 6784 6912 7155 7380 7632 7680 7872 8192 8405 8427 8480 8586 8640 8692 8856 9216 9540 9840 10086 10176 10240 10368 10496 10865 11070 11236 11448 11520 11808 12288 12720 12960 13038 13120 13284 13448 13568 13824 14045 14310 14760 15129 15264 15360 15744 16605 16810 16854 16960 17172 17280 17384 17712 18432 19080 19557 19680 20172 20352 20480 20736 20992 21465 21730 22140 22472 22896 23040 23616 24576 25215 25281 25440 25920 26076 26240 26568 26896 27136 27648 28090 28620 29520 30258 30528 30720 31488 32595 33210 33620 33708 33920 34344 34560 34768 35424 36864 38160 39114 39360 40344 40704 40960 41472 41984 42135 42930 43460 44280 44944 45387 45792 46080 47232 50430 50562 50880 51840 52152 52480 53136 53792 54272 55296 56180 57240 58671 59040 60516 61056 61440 62976 65190 66420 67240 67416 67840 68688 68921 69120 69536 70848 73728 75645 75843 76320 78228 78720 80688 81408 82944 83968 84270 85860 86920 88560 89093 89888 90774 91584 92160 94464 97785 100860 101124 101760 103680 104304 104960 106272 107584 108544 110592 112360 114480 115169 117342 118080 121032 122112 122880 125952 126405 130380 132840 134480 134832 135680 136161 137376 137842 138240 139072 141696 148877 151290 151686 152640 156456 157440 161376 162816 165888 167936 168540 171720 173840 176013 177120 178186 179776 181548 183168 184320 188928 195570 201720 202248 203520 206763 207360 208608 209920 212544 215168 217088 221184 224720 226935 227529 228960 230338 234684 236160 242064 244224 251904 252810 260760 265680 267279 268960 269664 271360 272322 274752 275684 276480 278144 283392 293355 297754 302580 303372 305280 312912 314880 322752 325632 331776 335872 337080 343440 344605 345507 347680 352026 354240 356372 359552 363096 366336 368640 377856 379215 391140 403440 404496 407040 413526 414720 417216 419840 425088 430336 434176 445465 446631 449440 453870 455058 457920 460676 469368 472320 484128 488448 503808 505620 521520 531360 534558 537920 539328 542720 544644 549504 551368 552960 556288 566784 575845 586710 595508 605160 606744 610560 620289 625824 629760 645504 651264 663552 674160 680805 686880 689210 691014 695360 704052 708480 712744 719104 726192 732672 744385 755712 758430 782280 801837 806880 808992 814080 827052 829440 834432 839680 850176 860672 880065 890930 893262 898880 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13297934225232 13381569031680 13838500657152 14273673633792 14775482472480 15376111841280 15666227159040 15760514637312 16057882838016 16622417781540 17298125821440 17730578966976 17842092042240 18451334209536 19700643296640 20072353547520 20251464376320 20757750985728 21014019516416 21410510450688 22163223708720 23064167761920 23640771955968 23789456056320 25947188732160 26267524395520 26595868450464 26763138063360 27677001314304 29550964944960 30752223682560 31521029274624 32115765676032 33244835563080 34596251642880 35461157933952 35684184084480 39401286593280 40144707095040 41515501971456 42028039032832 42821020901376 44326447417440 46128335523840 47281543911936 51894377464320 52535048791040 53191736900928 53526276126720 55354002628608 59101929889920 63042058549248 64231531352064 66489671126160 69192503285760 70922315867904 71368368168960 78802573186560 80289414190080 83031003942912 84056078065664 88652894834880 92256671047680 94563087823872 103788754928640 105070097582080 106383473801856 107052552253440 118203859779840 126084117098496 128463062704128 132979342252320 138385006571520 141844631735808 157605146373120 160578828380160 166062007885824 177305789669760 189126175647744 207577509857280 210140195164160 212766947603712 214105104506880 236407719559680 252168234196992 265958684504640 276770013143040 283689263471616 315210292746240 321157656760320 354611579339520 378252351295488 415155019714560 420280390328320 425533895207424 472815439119360 531917369009280 567378526943232 630420585492480 642315313520640 709223158679040 756504702590976 830310039429120 851067790414848 945630878238720 1063834738018560 1134757053886464 1260841170984960 1418446317358080 1702135580829696 1891261756477440 2127669476037120 2269514107772928 2836892634716160 3404271161659392 3782523512954880 4255338952074240 5673785269432320 6808542323318784 8510677904148480 11347570538864640 17021355808296960 34042711616593920
- Sum of all divisors σ(n): 127498599272832480
- Sum of proper divisors (its aliquot sum) s(n): 93455887656238560
- 34042711616593920 is an abundant number, because the sum of its proper divisors (93455887656238560) is greater than itself. Its abundance is 59413176039644640
Bases of 34042711616593920
- Binary: 11110001111000110101010011101010001100100100000000000002
- Hexadecimal: 0x78F1AA75192000
- Base-36: 9B74TTFR400
Squares and roots of 34042711616593920
- 34042711616593920 squared (340427116165939202) is 1158906214210578626022302180966400
- 34042711616593920 cubed (340427116165939203) is 39452310041049346840914693188614165097021964288000
-
The
square root of 34042711616593920 is 184506670.9270803573 -
The
cube root of 34042711616593920 is 324096.7793010113
Scales and comparisons
How big is 34042711616593920?- 34,042,711,616,593,920 seconds is equal to 1,082,452,928 years, 20 weeks, 19 hours, 12 minutes.
-
To count from 1 to 34,042,711,616,593,920 would take you about three billion, two hundred forty-seven million, three hundred fifty-eight thousand, seven hundred eighty-five 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 34042711616593920 cubic inches would be around 27008.1 feet tall.
Recreational maths with 34042711616593920
- 34042711616593920 backwards is 02939561611724043
- The number of decimal digits it has is: 17
- The sum of 34042711616593920's digits is 63
- More coming soon!
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"Number 34042711616593920 - Facts about the integer". Numbermatics.com. 2024. Web. 11 May 2024.
APA style:
Numbermatics. (2024). Number 34042711616593920 - Facts about the integer. Retrieved 11 May 2024, from https://numbermatics.com/n/34042711616593920/
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The information we have on file for 34042711616593920 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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