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21414233124 = 22321734990577
BaseRepresentation
bin10011111100011000…
…110100010000100100
32001021101122202101100
4103330120310100210
5322324020424444
613500525200100
71355443656354
oct237430642044
961241582340
1021414233124
11909985a329
124197700030
13203369a97b
141072060b64
15854ec2e69
hex4fc634424

21414233124 has 36 divisors (see below), whose sum is σ = 57314566764. Its totient is φ = 6718190592.

The previous prime is 21414233123. The next prime is 21414233153. The reversal of 21414233124 is 42133241412.

21414233124 is a `hidden beast` number, since 2 + 1 + 414 + 233 + 12 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 8626694400 + 12787538724 = 92880^2 + 113082^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is not an unprimeable number, because it can be changed into a prime (21414233123) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17494677 + ... + 17495900.

It is an arithmetic number, because the mean of its divisors is an integer number (1592071299).

Almost surely, 221414233124 is an apocalyptic number.

It is an amenable number.

21414233124 is an abundant number, since it is smaller than the sum of its proper divisors (35900333640).

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

21414233124 is a wasteful number, since it uses less digits than its factorization.

21414233124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34990604 (or 34990599 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

Adding to 21414233124 its reverse (42133241412), we get a palindrome (63547474536).

The spelling of 21414233124 in words is "twenty-one billion, four hundred fourteen million, two hundred thirty-three thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 306 612 34990577 69981154 104971731 139962308 209943462 314915193 419886924 594839809 629830386 1189679618 1259660772 1784519427 2379359236 3569038854 5353558281 7138077708 10707116562 21414233124