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420145203046 = 23137532113577
BaseRepresentation
bin1100001110100101001…
…10110000011101100110
31111011110122022201101011
412013102212300131212
523340424132444141
6521002333452434
742232406205262
oct6072246603546
91434418281334
10420145203046
11152201017638
126951594111a
133080912562a
14164998850a2
15ade0297881
hex61d29b0766

420145203046 has 96 divisors (see below), whose sum is σ = 688190807808. Its totient is φ = 192018677760.

The previous prime is 420145203031. The next prime is 420145203047. The reversal of 420145203046 is 640302541024.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a junction number, because it is equal to n+sod(n) for n = 420145202999 and 420145203017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420145203047) 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 47 ways as a sum of consecutive naturals, for example, 728154310 + ... + 728154886.

It is an arithmetic number, because the mean of its divisors is an integer number (7168654248).

Almost surely, 2420145203046 is an apocalyptic number.

420145203046 is a deficient number, since it is larger than the sum of its proper divisors (268045604762).

420145203046 is a wasteful number, since it uses less digits than its factorization.

420145203046 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 866 (or 813 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 31.

The spelling of 420145203046 in words is "four hundred twenty billion, one hundred forty-five million, two hundred three thousand, forty-six".

Divisors: 1 2 31 37 53 62 74 106 113 226 577 1147 1154 1643 1961 2294 2809 3286 3503 3922 4181 5618 5989 7006 8362 11978 17887 21349 30581 35774 42698 60791 61162 65201 87079 103933 121582 129611 130402 174158 185659 207866 221593 259222 317417 371318 443186 634834 661819 948011 1131497 1323638 1620793 1896022 2021231 2262994 2412437 3221923 3241586 3455653 4042462 4824874 6443846 6869383 6911306 9839927 11744429 13738766 19679854 23488858 35076407 50244583 59969341 70152814 74785547 100489166 107125243 119938682 127859161 149571094 183149609 214250486 255718322 364077299 366299218 728154598 1859049571 3718099142 3963633991 5677637879 6776535533 7927267982 11355275758 13553071066 210072601523 420145203046