Search a number
-
+
43043323824768 = 2733135910072063
BaseRepresentation
bin10011100100101110011100…
…00001101100101010000000
312122101220100020121121200010
421302113032001230222000
521120210211344343033
6231313455135424520
712031530455532621
oct1162271601545200
9178356306547603
1043043323824768
1112795631186603
1249b2102085140
131b02c77981527
14a8b44519ba48
154e99c7b54863
hex2725ce06ca80

43043323824768 has 128 divisors (see below), whose sum is σ = 118350780825600. Its totient is φ = 13846265072640.

The previous prime is 43043323824673. The next prime is 43043323824773. The reversal of 43043323824768 is 86742832334034.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 762496 + ... + 9309567.

It is an arithmetic number, because the mean of its divisors is an integer number (924615475200).

Almost surely, 243043323824768 is an apocalyptic number.

43043323824768 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 43043323824768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59175390412800).

43043323824768 is an abundant number, since it is smaller than the sum of its proper divisors (75307457000832).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

43043323824768 is a wasteful number, since it uses less digits than its factorization.

43043323824768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10072470 (or 10072458 counting only the distinct ones).

The product of its (nonzero) digits is 55738368, while the sum is 57.

The spelling of 43043323824768 in words is "forty-three trillion, forty-three billion, three hundred twenty-three million, eight hundred twenty-four thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 124 128 186 192 248 359 372 384 496 718 744 992 1077 1436 1488 1984 2154 2872 2976 3968 4308 5744 5952 8616 11129 11488 11904 17232 22258 22976 33387 34464 44516 45952 66774 68928 89032 133548 137856 178064 267096 356128 534192 712256 1068384 1424512 2136768 4273536 10072063 20144126 30216189 40288252 60432378 80576504 120864756 161153008 241729512 312233953 322306016 483459024 624467906 644612032 936701859 966918048 1248935812 1289224064 1873403718 1933836096 2497871624 3615870617 3746807436 3867672192 4995743248 7231741234 7493614872 9991486496 10847611851 14463482468 14987229744 19982972992 21695223702 28926964936 29974459488 39965945984 43390447404 57853929872 59948918976 86780894808 112091989127 115707859744 119897837952 173561789616 224183978254 231415719488 336275967381 347123579232 448367956508 462831438976 672551934762 694247158464 896735913016 1345103869524 1388494316928 1793471826032 2690207739048 3586943652064 5380415478096 7173887304128 10760830956192 14347774608256 21521661912384 43043323824768