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42343444434324 = 22311571561792767
BaseRepresentation
bin10011010000010110110011…
…11101101100110110010100
312112220222211110001211010210
421220023121331230312110
521022223333233344244
6230020150531245420
711630133012056505
oct1150133175546624
9175828743054123
1042343444434324
1112545832545730
1248ba539a49870
131a81c7b4c2ab7
14a6560dcd0bac
154d66b44734b9
hex2682d9f6cd94

42343444434324 has 48 divisors (see below), whose sum is σ = 107972075667456. Its totient is φ = 12808875064800.

The previous prime is 42343444434323. The next prime is 42343444434383.

42343444434324 is nontrivially palindromic in base 10.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42343444434323) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 280821012 + ... + 280971755.

It is an arithmetic number, because the mean of its divisors is an integer number (2249418243072).

Almost surely, 242343444434324 is an apocalyptic number.

42343444434324 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42343444434324 is an abundant number, since it is smaller than the sum of its proper divisors (65628631233132).

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

42343444434324 is a wasteful number, since it uses less digits than its factorization.

42343444434324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 561793356 (or 561793354 counting only the distinct ones).

The product of its digits is 21233664, while the sum is 48.

It can be divided in two parts, 4234344 and 4434324, that added together give a palindrome (8668668).

The spelling of 42343444434324 in words is "forty-two trillion, three hundred forty-three billion, four hundred forty-four million, four hundred thirty-four thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 571 1142 1713 2284 3426 6281 6852 12562 18843 25124 37686 75372 561792767 1123585534 1685378301 2247171068 3370756602 6179720437 6741513204 12359440874 18539161311 24718881748 37078322622 74156645244 320783669957 641567339914 962351009871 1283134679828 1924702019742 3528620369527 3849404039484 7057240739054 10585861108581 14114481478108 21171722217162 42343444434324