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11142523032 = 233618985517
BaseRepresentation
bin10100110000010010…
…10110100010011000
31001202112121211002020
422120021112202120
5140304441214112
65041354534440
7543056611614
oct123011264230
931675554066
1011142523032
1147a8733523
1221ab737420
1310876091c4
14779bb0344
1545334348c
hex298256898

11142523032 has 64 divisors (see below), whose sum is σ = 28631426400. Its totient is φ = 3612195840.

The previous prime is 11142523009. The next prime is 11142523043. The reversal of 11142523032 is 23032524111.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 11142522993 and 11142523011.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 87538 + ... + 173054.

Almost surely, 211142523032 is an apocalyptic number.

11142523032 is a gapful number since it is divisible by the number (12) 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 11142523032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14315713200).

11142523032 is an abundant number, since it is smaller than the sum of its proper divisors (17488903368).

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

11142523032 is a wasteful number, since it uses less digits than its factorization.

11142523032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85676 (or 85672 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The spelling of 11142523032 in words is "eleven billion, one hundred forty-two million, five hundred twenty-three thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 24 61 89 122 178 183 244 267 356 366 488 534 712 732 1068 1464 2136 5429 10858 16287 21716 32574 43432 65148 85517 130296 171034 256551 342068 513102 684136 1026204 2052408 5216537 7611013 10433074 15222026 15649611 20866148 22833039 30444052 31299222 41732296 45666078 60888104 62598444 91332156 125196888 182664312 464271793 928543586 1392815379 1857087172 2785630758 3714174344 5571261516 11142523032