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21143314224 = 2433167293071
BaseRepresentation
bin10011101100001111…
…010101111100110000
32000120111212122112000
4103230033111330300
5321300142023344
613414010334000
71345644130344
oct235417257460
960514778460
1021143314224
118a6a938a0a
124120a2a300
131cbc512826
14104809b624
1583b30aa69
hex4ec3d5f30

21143314224 has 80 divisors (see below), whose sum is σ = 61052759040. Its totient is φ = 7005545280.

The previous prime is 21143314223. The next prime is 21143314237. The reversal of 21143314224 is 42241334112.

21143314224 is a `hidden beast` number, since 2 + 1 + 1 + 433 + 1 + 4 + 224 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 (21143314223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 74392 + ... + 218679.

It is an arithmetic number, because the mean of its divisors is an integer number (763159488).

Almost surely, 221143314224 is an apocalyptic number.

21143314224 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

21143314224 is an abundant number, since it is smaller than the sum of its proper divisors (39909444816).

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

21143314224 is a wasteful number, since it uses less digits than its factorization.

21143314224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293255 (or 293243 counting only the distinct ones).

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

Adding to 21143314224 its reverse (42241334112), we get a palindrome (63384648336).

The spelling of 21143314224 in words is "twenty-one billion, one hundred forty-three million, three hundred fourteen thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 167 216 334 432 501 668 1002 1336 1503 2004 2672 3006 4008 4509 6012 8016 9018 12024 18036 24048 36072 72144 293071 586142 879213 1172284 1758426 2344568 2637639 3516852 4689136 5275278 7033704 7912917 10550556 14067408 15825834 21101112 31651668 42202224 48942857 63303336 97885714 126606672 146828571 195771428 293657142 391542856 440485713 587314284 783085712 880971426 1174628568 1321457139 1761942852 2349257136 2642914278 3523885704 5285828556 7047771408 10571657112 21143314224