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11432131424 = 257179285119
BaseRepresentation
bin10101010010110100…
…00111101101100000
31002111201120110002222
422221122013231200
5141403111201144
65130222130212
7553204341140
oct125132075540
932451513088
1011432131424
11493715a5aa
122270720968
13110260910c
147a643a920
1546d99d2ee
hex2a9687b60

11432131424 has 48 divisors (see below), whose sum is σ = 25866086400. Its totient is φ = 4872096384.

The previous prime is 11432131421. The next prime is 11432131427. The reversal of 11432131424 is 42413123411.

It is an interprime number because it is at equal distance from previous prime (11432131421) and next prime (11432131427).

It is a junction number, because it is equal to n+sod(n) for n = 11432131393 and 11432131402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11432131421) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 102464 + ... + 182655.

It is an arithmetic number, because the mean of its divisors is an integer number (538876800).

Almost surely, 211432131424 is an apocalyptic number.

11432131424 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

11432131424 is an abundant number, since it is smaller than the sum of its proper divisors (14433954976).

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

11432131424 is a wasteful number, since it uses less digits than its factorization.

11432131424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 285315 (or 285307 counting only the distinct ones).

The product of its digits is 2304, while the sum is 26.

Adding to 11432131424 its reverse (42413123411), we get a palindrome (53845254835).

The spelling of 11432131424 in words is "eleven billion, four hundred thirty-two million, one hundred thirty-one thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 179 224 358 716 1253 1432 2506 2864 5012 5728 10024 20048 40096 285119 570238 1140476 1995833 2280952 3991666 4561904 7983332 9123808 15966664 31933328 51036301 63866656 102072602 204145204 357254107 408290408 714508214 816580816 1429016428 1633161632 2858032856 5716065712 11432131424