Search a number
-
+
42236244263224 = 23112172125352983
BaseRepresentation
bin10011001101001111001000…
…10101100000000100111000
312112112202010111000212222101
421212213210111200010320
521013444312012410344
6225455021315433144
711616316335462514
oct1146474425400470
9175482114025871
1042236244263224
1112504321876500
1248a18008b57b4
131a74b260932ab
14a603608c9144
154d39dd07e9d4
hex2669e4560138

42236244263224 has 48 divisors (see below), whose sum is σ = 87097387703760. Its totient is φ = 19187136777600.

The previous prime is 42236244263153. The next prime is 42236244263231.

42236244263224 is nontrivially palindromic in base 10.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 11010564 + ... + 14342419.

It is an arithmetic number, because the mean of its divisors is an integer number (1814528910495).

Almost surely, 242236244263224 is an apocalyptic number.

42236244263224 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42236244263224 is an abundant number, since it is smaller than the sum of its proper divisors (44861143440536).

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

42236244263224 is a wasteful number, since it uses less digits than its factorization.

42236244263224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25354732 (or 25354717 counting only the distinct ones).

The product of its digits is 5308416, while the sum is 46.

It can be divided in two parts, 4223624 and 4263224, that added together give a palindrome (8486848).

The spelling of 42236244263224 in words is "forty-two trillion, two hundred thirty-six billion, two hundred forty-four million, two hundred sixty-three thousand, two hundred twenty-four".

Divisors: 1 2 4 8 11 22 44 88 121 242 484 968 1721 3442 6884 13768 18931 37862 75724 151448 208241 416482 832964 1665928 25352983 50705966 101411932 202823864 278882813 557765626 1115531252 2231062504 3067710943 6135421886 12270843772 24541687544 43632483743 87264967486 174529934972 349059869944 479957321173 959914642346 1919829284692 3839658569384 5279530532903 10559061065806 21118122131612 42236244263224