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21140402224 = 2417477123291
BaseRepresentation
bin10011101100000100…
…001111000000110000
32000120022101201000011
4103230010033000300
5321243420332344
613413424104304
71345610311504
oct235404170060
960508351004
1021140402224
118a6922a0a7
12411ba65094
131cbba33256
141047940304
1583ae32d34
hex4ec10f030

21140402224 has 80 divisors (see below), whose sum is σ = 44917410816. Its totient is φ = 9599206400.

The previous prime is 21140402221. The next prime is 21140402233. The reversal of 21140402224 is 42220404112.

It is a junction number, because it is equal to n+sod(n) for n = 21140402195 and 21140402204.

It is not an unprimeable number, because it can be changed into a prime (21140402221) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 896019 + ... + 919309.

Almost surely, 221140402224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21140402224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22458705408).

21140402224 is an abundant number, since it is smaller than the sum of its proper divisors (23777008592).

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

21140402224 is a wasteful number, since it uses less digits than its factorization.

21140402224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23434 (or 23428 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 22.

Adding to 21140402224 its reverse (42220404112), we get a palindrome (63360806336).

The spelling of 21140402224 in words is "twenty-one billion, one hundred forty million, four hundred two thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 17 34 47 68 71 94 136 142 188 272 284 376 568 752 799 1136 1207 1598 2414 3196 3337 4828 6392 6674 9656 12784 13348 19312 23291 26696 46582 53392 56729 93164 113458 186328 226916 372656 395947 453832 791894 907664 1094677 1583788 1653661 2189354 3167576 3307322 4378708 6335152 6614644 8757416 13229288 17514832 18609509 26458576 28112237 37219018 56224474 74438036 77722067 112448948 148876072 155444134 224897896 297752144 310888268 449795792 621776536 1243553072 1321275139 2642550278 5285100556 10570201112 21140402224