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1114131144 = 23376631733
BaseRepresentation
bin100001001101000…
…0100101011001000
32212122102201121110
41002122010223020
54240204144034
6302315410320
736415646520
oct10232045310
92778381543
101114131144
11521997245
122711539a0
13149a8a9c9
14a7d7a680
1567c27de9
hex42684ac8

1114131144 has 32 divisors (see below), whose sum is σ = 3183232320. Its totient is φ = 318323136.

The previous prime is 1114131127. The next prime is 1114131163. The reversal of 1114131144 is 4411314111.

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

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

It is a self number, because there is not a number n which added to its sum of digits gives 1114131144.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3315699 + ... + 3316034.

It is an arithmetic number, because the mean of its divisors is an integer number (99476010).

Almost surely, 21114131144 is an apocalyptic number.

1114131144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1114131144 is an abundant number, since it is smaller than the sum of its proper divisors (2069101176).

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

1114131144 is a wasteful number, since it uses less digits than its factorization.

1114131144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6631749 (or 6631745 counting only the distinct ones).

The product of its digits is 192, while the sum is 21.

The square root of 1114131144 is about 33378.6030864085. The cubic root of 1114131144 is about 1036.6817141743.

Adding to 1114131144 its reverse (4411314111), we get a palindrome (5525445255).

The spelling of 1114131144 in words is "one billion, one hundred fourteen million, one hundred thirty-one thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 6631733 13263466 19895199 26526932 39790398 46422131 53053864 79580796 92844262 139266393 159161592 185688524 278532786 371377048 557065572 1114131144