Search a number
-
+
21114132144 = 243728977097
BaseRepresentation
bin10011101010100000…
…000001011010110000
32000111110222001020020
4103222200001122300
5321220204212034
613411045043440
71345141106400
oct235240013260
960443861206
1021114132144
118a55416a96
1241130b6580
131cb6465c21
141044262800
15838994249
hex4ea8016b0

21114132144 has 60 divisors (see below), whose sum is σ = 63450128664. Its totient is φ = 6032608512.

The previous prime is 21114132133. The next prime is 21114132157. The reversal of 21114132144 is 44123141112.

It is a happy number.

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

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

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 11 ways as a sum of consecutive naturals, for example, 4486197 + ... + 4490900.

Almost surely, 221114132144 is an apocalyptic number.

21114132144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

21114132144 is an abundant number, since it is smaller than the sum of its proper divisors (42335996520).

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

21114132144 is a wasteful number, since it uses less digits than its factorization.

21114132144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8977122 (or 8977109 counting only the distinct ones).

The product of its digits is 768, while the sum is 24.

Adding to 21114132144 its reverse (44123141112), we get a palindrome (65237273256).

The spelling of 21114132144 in words is "twenty-one billion, one hundred fourteen million, one hundred thirty-two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 49 56 84 98 112 147 168 196 294 336 392 588 784 1176 2352 8977097 17954194 26931291 35908388 53862582 62839679 71816776 107725164 125679358 143633552 188519037 215450328 251358716 377038074 430900656 439877753 502717432 754076148 879755506 1005434864 1319633259 1508152296 1759511012 2639266518 3016304592 3519022024 5278533036 7038044048 10557066072 21114132144