4134868447371840

Names of 4134868447371840

• Cardinal: 4134868447371840 can be written as Four quadrillion, one hundred thirty-four trillion, eight hundred sixty-eight billion, four hundred forty-seven million, three hundred seventy-one thousand, eight hundred forty.

Scientific notation

• Scientific notation: 4.13486844737184 × 10¹⁵

Factors of 4134868447371840

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 15
• Sum of prime factors: 626

Divisors of 4134868447371840

• Number of divisors d(n): 1512
• Complete list of divisors:
  1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 37 40 45 48 60 61 64 72 74 80 90 96 97 111 120 122 144 148 160 180 183 185 192 194 222 240 244 288 291 296 305 320 333 360 366 370 388 421 444 480 485 488 549 555 576 582 592 610 666 720 732 740 776 842 873 888 915 960 970 976 1098 1110 1164 1184 1220 1263 1332 1369 1440 1455 1464 1480 1552 1665 1684 1746 1776 1830 1940 1952 2105 2196 2220 2257 2328 2368 2440 2526 2664 2738 2745 2880 2910 2928 2960 3104 3330 3368 3492 3552 3589 3660 3789 3880 3904 4107 4210 4365 4392 4440 4514 4656 4880 5052 5328 5476 5490 5820 5856 5917 5920 6208 6315 6660 6736 6771 6845 6984 7104 7178 7320 7578 7760 8214 8420 8730 8784 8880 9028 9312 9760 10104 10656 10767 10952 10980 11285 11640 11712 11834 11840 12321 12630 13320 13472 13542 13690 13968 14356 14640 15156 15520 15577 16428 16840 17460 17568 17751 17760 17945 18056 18624 18945 19520 20208 20313 20535 21312 21534 21904 21960 22570 23280 23668 24642 25260 25681 26640 26944 27084 27380 27936 28712 29280 29585 30312 31040 31154 32301 32856 33680 33855 34920 35136 35502 35520 35890 36112 37890 40416 40626 40837 41070 43068 43808 43920 45140 46560 46731 47336 49284 50520 51362 53253 53280 53835 54168 54760 55872 57424 58560 59170 60624 61605 62308 64602 65712 67360 67710 69840 71004 71780 72224 75780 77043 77885 80832 81252 81674 82140 83509 86136 87616 87840 88755 90280 93120 93462 94672 98568 101040 101565 102724 106506 106560 107670 108336 109520 114848 118340 121248 122511 123210 124616 128405 129204 131424 132793 134720 135420 139680 140193 142008 143560 144448 151560 154086 155770 161505 162504 163348 164280 167018 172272 175680 177241 177510 180560 186924 189344 197136 202080 203130 204185 205448 213012 215340 216672 218929 219040 229696 231129 233655 236680 242496 245022 246420 249232 250527 256810 258408 262848 265586 266265 270840 279360 280386 284016 287120 303120 308172 311540 323010 325008 326696 328560 334036 344544 354482 355020 361120 367533 373848 378688 385215 394272 398379 404160 406260 408370 410896 417545 426024 430680 433344 437858 438080 462258 467310 473360 490044 492840 498464 501054 513620 516816 531172 531723 532530 541680 560772 568032 574240 576349 606240 612555 616344 623080 646020 650016 653392 656787 657120 663965 668072 689088 700965 708964 710040 722240 735066 747696 751581 770430 788544 796758 812520 816740 821792 835090 852048 861360 875716 886205 924516 934620 946720 950197 980088 985680 996928 1002108 1027240 1033632 1062344 1063446 1065060 1083360 1094645 1121544 1136064 1148480 1152698 1155645 1195137 1212480 1225110 1232688 1246160 1252635 1292040 1300032 1306784 1313574 1314240 1327930 1336144 1401930 1417928 1420080 1470132 1495392 1503162 1510969 1540860 1593516 1595169 1625040 1633480 1643584 1670180 1704096 1722720 1729047 1751432 1772410 1837665 1849032 1869240 1893440 1900394 1960176 1970361 1971360 1991895 2004216 2054480 2067264 2124688 2126892 2130120 2166720 2189290 2243088 2305396 2311290 2390274 2450220 2465376 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4736389974080 4910770127520 5328438720840 5587660064016 5648727387120 5742872843572 6208511182240 6778472864544 6984575080020 7104584961120 7178591054465 7450213418688 7531636516160 8473091080680 8525501953344 8614309265358 9312766773360 9821540255040 10656877441680 11175320128032 11297454774240 11485745687144 12417022364480 12921463898037 13556945729088 13969150160040 14209169922240 14357182108930 16946182161360 17228618530716 18625533546720 21313754883360 21535773163395 22350640256064 22594909548480 22971491374288 25842927796074 27938300320080 28714364217860 33892364322720 34457237061432 37251067093440 42627509766720 43071546326790 45942982748576 51685855592148 55876600640160 57428728435720 64607319490185 67784728645440 68914474122864 86143092653580 91885965497152 103371711184296 111753201280320 114857456871440 129214638980370 137828948245728 172286185307160 206743422368592 229714913742880 258429277960740 275657896491456 344572370614320 413486844737184 459429827485760 516858555921480 689144741228640 826973689474368 1033717111842960 1378289482457280 2067434223685920 4134868447371840
• Sum of all divisors σ(n): 15045519142003896
• Sum of proper divisors (its aliquot sum) s(n): 10910650694632056
• 4134868447371840 is an abundant number, because the sum of its proper divisors (10910650694632056) is greater than itself. Its abundance is 6775782247260216

Bases of 4134868447371840

• Binary: 1110101100001010010000010100111111111010001001000000₂
• Hexadecimal: 0xEB0A414FFA240
• Base-36: 14POSCAFBK0

Squares and roots of 4134868447371840

• 4134868447371840 squared (4134868447371840²) is 17097137077071210775803224985600
• 4134868447371840 cubed (4134868447371840³) is 70694412640372956059693305088674140541845504000
• The square root of 4134868447371840 is 64302942.7582582725
• The cube root of 4134868447371840 is 160504.5071067575

Scales and comparisons

• 4,134,868,447,371,840 seconds is equal to 131,476,026 years, 33 weeks, 1 day, 10 hours, 24 minutes.
• To count from 1 to 4,134,868,447,371,840 would take you about three hundred ninety-four million, four hundred twenty-eight thousand and seventy-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 4134868447371840 cubic inches would be around 13375.4 feet tall.

Recreational maths with 4134868447371840

• 4134868447371840 backwards is 0481737448684314
• 4134868447371840 is a Harshad number.
• The number of decimal digits it has is: 16
• The sum of 4134868447371840's digits is 72
• More coming soon!