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23214344341232 = 2411235734768859
BaseRepresentation
bin1010100011101000000101…
…01111111000011011110000
310001012021021120102111112202
411101310002233320123300
511020320434122404412
6121212304512442332
74614116044066562
oct521640257703360
9101167246374482
1023214344341232
11744016a202880
12272b118b493a8
13cc5145b96285
145a381a345332
152a3cd1eee3c2
hex151d02bf86f0

23214344341232 has 40 divisors (see below), whose sum is σ = 51200016382080. Its totient is φ = 10093193190080.

The previous prime is 23214344341147. The next prime is 23214344341339.

23214344341232 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2867380382 + ... + 2867388477.

It is an arithmetic number, because the mean of its divisors is an integer number (1280000409552).

Almost surely, 223214344341232 is an apocalyptic number.

23214344341232 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

23214344341232 is an abundant number, since it is smaller than the sum of its proper divisors (27985672040848).

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

23214344341232 is a wasteful number, since it uses less digits than its factorization.

23214344341232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5734768901 (or 5734768895 counting only the distinct ones).

The product of its digits is 331776, while the sum is 38.

It can be divided in two parts, 2321434 and 4341232, that added together give a palindrome (6662666).

The spelling of 23214344341232 in words is "twenty-three trillion, two hundred fourteen billion, three hundred forty-four million, three hundred forty-one thousand, two hundred thirty-two".

Divisors: 1 2 4 8 11 16 22 23 44 46 88 92 176 184 253 368 506 1012 2024 4048 5734768859 11469537718 22939075436 45878150872 63082457449 91756301744 126164914898 131899683757 252329829796 263799367514 504659659592 527598735028 1009319319184 1055197470056 1450896521327 2110394940112 2901793042654 5803586085308 11607172170616 23214344341232