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11432130024 = 233729721199
BaseRepresentation
bin10101010010110100…
…00111010111101000
31002111201120101012010
422221122013113220
5141403111130044
65130222115520
7553204334100
oct125132072750
932451511163
1011432130024
114937159547
12227071bba0
1311026085a3
147a643a200
1546d99cbb9
hex2a96875e8

11432130024 has 48 divisors (see below), whose sum is σ = 33246504000. Its totient is φ = 3266322528.

The previous prime is 11432129981. The next prime is 11432130071. The reversal of 11432130024 is 42003123411.

11432130024 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4859424 + ... + 4861775.

It is an arithmetic number, because the mean of its divisors is an integer number (692635500).

Almost surely, 211432130024 is an apocalyptic number.

11432130024 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

11432130024 is an abundant number, since it is smaller than the sum of its proper divisors (21814373976).

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

11432130024 is a wasteful number, since it uses less digits than its factorization.

11432130024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9721222 (or 9721211 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 11432130024 its reverse (42003123411), we get a palindrome (53435253435).

The spelling of 11432130024 in words is "eleven billion, four hundred thirty-two million, one hundred thirty thousand, twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 49 56 84 98 147 168 196 294 392 588 1176 9721199 19442398 29163597 38884796 58327194 68048393 77769592 116654388 136096786 204145179 233308776 272193572 408290358 476338751 544387144 816580716 952677502 1429016253 1633161432 1905355004 2858032506 3810710008 5716065012 11432130024