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211421004444 = 223313150584761
BaseRepresentation
bin1100010011100110101…
…1001000001010011100
3202012201021220211021000
43010321223020022130
511430442234120234
6241043033510300
721163131613026
oct3047153101234
9665637824230
10211421004444
1181732710951
1234b84572390
1316c24530780
14a338c63016
155775e75899
hex3139ac829c

211421004444 has 48 divisors (see below), whose sum is σ = 590292267040. Its totient is φ = 65052616320.

The previous prime is 211421004329. The next prime is 211421004481. The reversal of 211421004444 is 444400124112.

It is a happy number.

211421004444 is a `hidden beast` number, since 2 + 1 + 1 + 4 + 210 + 0 + 4 + 444 = 666.

It is a super-2 number, since 2×2114210044442 (a number of 23 digits) contains 22 as substring.

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 (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 75290977 + ... + 75293784.

Almost surely, 2211421004444 is an apocalyptic number.

It is an amenable number.

211421004444 is an abundant number, since it is smaller than the sum of its proper divisors (378871262596).

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

211421004444 is a wasteful number, since it uses less digits than its factorization.

211421004444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150584787 (or 150584779 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

Adding to 211421004444 its reverse (444400124112), we get a palindrome (655821128556).

The spelling of 211421004444 in words is "two hundred eleven billion, four hundred twenty-one million, four thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 108 117 156 234 351 468 702 1404 150584761 301169522 451754283 602339044 903508566 1355262849 1807017132 1957601893 2710525698 3915203786 4065788547 5421051396 5872805679 7830407572 8131577094 11745611358 16263154188 17618417037 23491222716 35236834074 52855251111 70473668148 105710502222 211421004444