468346721653944

Names of 468346721653944

• Cardinal: 468346721653944 can be written as Four hundred sixty-eight trillion, three hundred forty-six billion, seven hundred twenty-one million, six hundred fifty-three thousand, nine hundred forty-four.

Scientific notation

• Scientific notation: 4.68346721653944 × 10¹⁴

Factors of 468346721653944

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 18
• Sum of prime factors: 3979

Divisors of 468346721653944

• Number of divisors d(n): 312
• Complete list of divisors:
  1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 81 84 108 126 162 168 189 216 243 252 324 378 486 504 567 648 729 756 972 1134 1458 1512 1701 1944 2187 2268 2916 3402 3967 4374 4536 5103 5832 6561 6804 7934 8748 10206 11901 13122 13608 15309 15868 17496 19683 20412 23802 26244 27769 30618 31736 35703 39366 40824 45927 47604 52488 55538 59049 61236 71406 78732 83307 91854 95208 107109 111076 118098 122472 137781 142812 157464 166614 177147 183708 214218 222152 236196 249921 275562 285624 321327 333228 354294 367416 413343 428436 472392 499842 531441 551124 642654 666456 708588 749763 826686 856872 963981 999684 1062882 1102248 1240029 1285308 1417176 1499526 1653372 1927962 1999368 2125764 2249289 2480058 2570616 2891943 2999052 3306744 3720087 3855924 4251528 4498578 4960116 5783886 5998104 6747867 7440174 7711848 8675829 8997156 9920232 11567772 13495734 14880348 15737089 17351658 17994312 20243601 23135544 26027487 26991468 29760696 31474178 34703316 40487202 47211267 52054974 53982936 60730803 62948356 69406632 78082461 80974404 94422534 104109948 110159623 121461606 125896712 141633801 156164922 161948808 182192409 188845068 208219896 220319246 234247383 242923212 283267602 312329844 330478869 364384818 377690136 424901403 440638492 468494766 485846424 546577227 566535204 624659688 660957738 702742149 728769636 849802806 881276984 936989532 991436607 1093154454 1133070408 1274704209 1321915476 1405484298 1457539272 1639731681 1699605612 1873979064 1982873214 2108226447 2186308908 2549408418 2643830952 2810968596 2974309821 3279463362 3399211224 3824112627 3965746428 4216452894 4372617816 4919195043 5098816836 5621937192 5948619642 6558926724 7648225254 7931492856 8432905788 8922929463 9838390086 10197633672 11472337881 11897239284 13117853448 14757585129 15296450508 16865811576 17845858926 19676780172 22944675762 23794478568 26768788389 29515170258 30592901016 34417013643 35691717852 39353560344 45889351524 53537576778 59030340516 68834027286 71383435704 80306365167 91778703048 103251040929 107075153556 118060681032 137668054572 160612730334 206502081858 214150307112 240919095501 275336109144 309753122787 321225460668 413004163716 481838191002 619506245574 642450921336 722757286503 826008327432 929259368361 963676382004 1239012491148 1445514573006 1858518736722 1927352764008 2168271859509 2478024982296 2787778105083 2891029146012 3717037473444 4336543719018 5575556210166 5782058292024 6504815578527 7434074946888 8363334315249 8673087438036 11151112420332 13009631157054 16726668630498 17346174876072 19514446735581 22302224840664 26019262314108 33453337260996 39028893471162 52038524628216 58543340206743 66906674521992 78057786942324 117086680413486 156115573884648 234173360826972 468346721653944
• Sum of all divisors σ(n): 1505778808701240
• Sum of proper divisors (its aliquot sum) s(n): 1037432087047296
• 468346721653944 is an abundant number, because the sum of its proper divisors (1037432087047296) is greater than itself. Its abundance is 569085365393352

Bases of 468346721653944

• Binary: 1101010011111010101110111111110011101010010111000₂
• Hexadecimal: 0x1A9F577F9D4B8
• Base-36: 4M0JIHPVI0

Squares and roots of 468346721653944

• 468346721653944 squared (468346721653944²) is 219348651683996897662890755136
• 468346721653944 cubed (468346721653944³) is 102731221915412809871427115794420941032656384
• The square root of 468346721653944 is 21641319.7761583847
• The cube root of 468346721653944 is 77658.5292868827

Scales and comparisons

• 468,346,721,653,944 seconds is equal to 14,891,977 years, 2 weeks, 6 days, 18 hours, 32 minutes, 24 seconds.
• To count from 1 to 468,346,721,653,944 would take you about thirty-seven million, two hundred twenty-nine thousand, nine hundred forty-two 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 468346721653944 cubic inches would be around 6471.5 feet tall.

Recreational maths with 468346721653944

• 468346721653944 backwards is 449356127643864
• 468346721653944 is a Harshad number.
• The number of decimal digits it has is: 15
• The sum of 468346721653944's digits is 72
• More coming soon!