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21424060224 = 263371771169
BaseRepresentation
bin10011111100111110…
…010011011101000000
32001022002011000122000
4103330332103131000
5322334024411344
613501515544000
71355623335660
oct237476233500
961262130560
1021424060224
1190a43615a6
12419aa5b000
13203572b918
14107349c1a0
15855cb4a69
hex4fcf93740

21424060224 has 112 divisors (see below), whose sum is σ = 71980348800. Its totient is φ = 6121156608.

The previous prime is 21424060201. The next prime is 21424060249. The reversal of 21424060224 is 42206042412.

21424060224 is a `hidden beast` number, since 2 + 14 + 2 + 40 + 602 + 2 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (112).

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

It is a congruent number.

It is an unprimeable number.

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, 873489 + ... + 897680.

Almost surely, 221424060224 is an apocalyptic number.

21424060224 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

21424060224 is an abundant number, since it is smaller than the sum of its proper divisors (50556288576).

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

21424060224 is a wasteful number, since it uses less digits than its factorization.

21424060224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1771197 (or 1771181 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The spelling of 21424060224 in words is "twenty-one billion, four hundred twenty-four million, sixty thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 84 96 108 112 126 144 168 189 192 216 224 252 288 336 378 432 448 504 576 672 756 864 1008 1344 1512 1728 2016 3024 4032 6048 12096 1771169 3542338 5313507 7084676 10627014 12398183 14169352 15940521 21254028 24796366 28338704 31881042 37194549 42508056 47821563 49592732 56677408 63762084 74389098 85016112 95643126 99185464 111583647 113354816 127524168 148778196 170032224 191286252 198370928 223167294 255048336 297556392 334750941 340064448 382572504 396741856 446334588 510096672 595112784 669501882 765145008 793483712 892669176 1020193344 1190225568 1339003764 1530290016 1785338352 2380451136 2678007528 3060580032 3570676704 5356015056 7141353408 10712030112 21424060224