827142400440

Names of 827142400440

• Cardinal: 827142400440 can be written as Eight hundred twenty-seven billion, one hundred forty-two million, four hundred thousand, four hundred forty.

Scientific notation

• Scientific notation: 8.2714240044 × 10¹¹

Factors of 827142400440

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 11
• Sum of prime factors: 1162

Divisors of 827142400440

• Number of divisors d(n): 512
• Complete list of divisors:
  1 2 3 4 5 6 8 9 10 12 15 17 18 20 24 27 30 34 36 40 45 51 54 60 68 72 85 90 102 108 120 135 136 153 170 180 204 216 255 257 270 306 307 340 360 408 459 510 514 540 571 612 614 680 765 771 918 921 1020 1028 1080 1142 1224 1228 1285 1530 1535 1542 1713 1836 1842 2040 2056 2284 2295 2313 2456 2570 2763 2855 3060 3070 3084 3426 3672 3684 3855 4369 4568 4590 4605 4626 5139 5140 5219 5526 5710 6120 6140 6168 6852 6939 7368 7710 8289 8565 8738 9180 9210 9252 9707 10278 10280 10438 11052 11420 11565 12280 13107 13704 13815 13878 15417 15420 15657 16578 17130 17476 18360 18420 18504 19414 20556 20876 21845 22104 22840 23130 25695 26095 26214 27630 27756 29121 30834 30840 31314 33156 34260 34695 34952 36840 38828 39321 41112 41445 41752 43690 46260 46971 48535 51390 52190 52428 55260 55512 58242 61668 62628 65535 66312 68520 69390 77085 77656 78285 78642 78899 82890 87363 87380 92520 93942 97070 102780 104380 104856 110520 116484 117963 123336 125256 131070 138780 140913 145605 146747 154170 156570 157284 157798 165780 174726 174760 175297 187884 194140 196605 205560 208760 232968 234855 235926 236697 262089 262140 277560 281826 291210 293494 308340 313140 314568 315596 331560 349452 350594 375768 388280 393210 394495 436815 440241 469710 471852 473394 524178 524280 525891 563652 582420 586988 589815 616680 626280 631192 698904 701188 704565 710091 733735 786420 788990 873630 876485 880482 939420 943704 946788 1048356 1051782 1127304 1164840 1173976 1179630 1183485 1310445 1320723 1341283 1402376 1409130 1420182 1467470 1572840 1577673 1577980 1747260 1752970 1760964 1878840 1893576 2096712 2103564 2130273 2201205 2359260 2366970 2494699 2620890 2629455 2641446 2682566 2818260 2840364 2934940 2980049 3155346 3155960 3494520 3505940 3521928 3550455 3962169 4023849 4207128 4260546 4402410 4718520 4733019 4733940 4989398 5241780 5258910 5282892 5365132 5636520 5680728 5869880 5960098 6310692 6603615 6706415 7011880 7100910 7484097 7888365 7924338 8047698 8521092 8804820 8940147 9466038 9467880 9978796 10483560 10517820 10565784 10651365 10730264 11920196 12071547 12473495 12621384 13207230 13412830 14201820 14900245 14968194 15776730 15848676 16095396 17042184 17609640 17880294 18932076 19810845 19957592 20119245 21035640 21302730 22452291 23665095 23840392 24143094 24946990 26414460 26820441 26825660 28403640 29800490 29936388 31553460 31697352 32190792 35760588 36214641 37420485 37864152 39621690 40238490 42605460 44700735 44904582 45051329 47330190 48286188 49893980 52828920 53640882 53651320 59600980 59872776 60357735 63106920 67356873 71521176 72429282 74840970 79243380 80461323 80476980 85210920 89401470 89809164 90102658 94660380 96572376 99787960 107281764 112261455 119201960 120715470 134102205 134713746 135153987 144858564 149681940 158486760 160922646 160953960 178802940 179618328 180205316 181073205 189320760 214563528 224522910 225256645 241430940 268204410 269427492 270307974 289717128 299363880 321845292 336784365 357605880 360410632 362146410 402306615 405461961 449045820 450513290 482861880 536408820 538854984 540615948 643690584 673568730 675769935 724292820 765872593 804613230 810923922 898091640 901026580 1072817640 1081231896 1216385883 1347137460 1351539870 1448585640 1531745186 1609226460 1621847844 1802053160 2027309805 2297617779 2432771766 2694274920 2703079740 3063490372 3218452920 3243695688 3829362965 4054619610 4595235558 4865543532 5406159480 6081929415 6126980744 6892853337 7658725930 8109239220 9190471116 9731087064 11488088895 12163858830 13785706674 15317451860 16218478440 18380942232 20678560011 22976177790 24327717660 27571413348 30634903720 34464266685 41357120022 45952355580 48655435320 55142826696 68928533370 82714240044 91904711160 103392800055 137857066740 165428480088 206785600110 275714133480 413571200220 827142400440
• Sum of all divisors σ(n): 2945380838400
• Sum of proper divisors (its aliquot sum) s(n): 2118238437960
• 827142400440 is an abundant number, because the sum of its proper divisors (2118238437960) is greater than itself. Its abundance is 1291096037520

Bases of 827142400440

• Binary: 1100000010010101100001110110100110111000₂
• Hexadecimal: 0xC0958769B8
• Base-36: AJZF88U0

Squares and roots of 827142400440

• 827142400440 squared (827142400440²) is 684164550605645312193600
• 827142400440 cubed (827142400440³) is 565901508683907319343047506005184000
• The square root of 827142400440 is 909473.6941990131
• The cube root of 827142400440 is 9386.9987775059

Scales and comparisons

• 827,142,400,440 seconds is equal to 26,300 years, 29 weeks, 4 days, 9 hours, 54 minutes.
• To count from 1 to 827,142,400,440 would take you about fifty-two thousand, six hundred one 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 827142400440 cubic inches would be around 782.2 feet tall.

Recreational maths with 827142400440

• 827142400440 backwards is 044004241728
• 827142400440 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 827142400440's digits is 36
• More coming soon!