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420020000244 = 223213897478633
BaseRepresentation
bin1100001110010110010…
…01001001010111110100
31111011010220201202102100
412013023021021113310
523340200110001434
6520542102142100
742226326044445
oct6071311112764
91434126652370
10420020000244
11152147381949
126949ba21930
13307b91c9530
1416486db32cc
15add42b5699
hex61cb2495f4

420020000244 has 36 divisors (see below), whose sum is σ = 1143387779716. Its totient is φ = 129236923008.

The previous prime is 420020000237. The next prime is 420020000251. The reversal of 420020000244 is 442000020024.

420020000244 is a `hidden beast` number, since 420 + 0 + 2 + 0 + 0 + 0 + 0 + 244 = 666.

It is an interprime number because it is at equal distance from previous prime (420020000237) and next prime (420020000251).

It can be written as a sum of positive squares in 2 ways, for example, as 144407600100 + 275612400144 = 380010^2 + 524988^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (18).

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 11 ways as a sum of consecutive naturals, for example, 448738849 + ... + 448739784.

Almost surely, 2420020000244 is an apocalyptic number.

It is an amenable number.

420020000244 is an abundant number, since it is smaller than the sum of its proper divisors (723367779472).

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

420020000244 is a wasteful number, since it uses less digits than its factorization.

420020000244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 897478656 (or 897478651 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

Adding to 420020000244 its reverse (442000020024), we get a palindrome (862020020268).

The spelling of 420020000244 in words is "four hundred twenty billion, twenty million, two hundred forty-four", and thus it is an aban number.

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 897478633 1794957266 2692435899 3589914532 5384871798 8077307697 10769743596 11667222229 16154615394 23334444458 32309230788 35001666687 46668888916 70003333374 105005000061 140006666748 210010000122 420020000244