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442441203240204 = 22327472794802653
BaseRepresentation
bin110010010011001011101111…
…0110000001100110100001100
32011000112222002011202211011200
41210212113132300030310030
5430442424041012141304
64204554403252545500
7162123215320121040
oct14446273660146414
92130488064684150
10442441203240204
11118a802958a1083
124175809b922290
1315cb50461276cc
147b383a8a78020
153623d9eb83e39
hex19265dec0cd0c

442441203240204 has 108 divisors (see below), whose sum is σ = 1305937061576784. Its totient is φ = 123722160020928.

The previous prime is 442441203240199. The next prime is 442441203240221. The reversal of 442441203240204 is 402042302144244.

442441203240204 is a `hidden beast` number, since 4 + 4 + 2 + 4 + 4 + 1 + 203 + 240 + 204 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 396844659 + ... + 397957994.

Almost surely, 2442441203240204 is an apocalyptic number.

It is an amenable number.

442441203240204 is an abundant number, since it is smaller than the sum of its proper divisors (863495858336580).

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

442441203240204 is a wasteful number, since it uses less digits than its factorization.

442441203240204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 794802764 (or 794802712 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 36.

Adding to 442441203240204 its reverse (402042302144244), we get a palindrome (844483505384448).

The spelling of 442441203240204 in words is "four hundred forty-two trillion, four hundred forty-one billion, two hundred three million, two hundred forty thousand, two hundred four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 47 63 84 94 126 141 188 252 282 329 423 564 658 846 987 1316 1692 1974 2209 2961 3948 4418 5922 6627 8836 11844 13254 15463 19881 26508 30926 39762 46389 61852 79524 92778 139167 185556 278334 556668 794802653 1589605306 2384407959 3179210612 4768815918 5563618571 7153223877 9537631836 11127237142 14306447754 16690855713 22254474284 28612895508 33381711426 37355724691 50072567139 66763422852 74711449382 100145134278 112067174073 149422898764 200290268556 224134348146 261490072837 336201522219 448268696292 522980145674 672403044438 784470218511 1045960291348 1344806088876 1568940437022 1755719060477 2353410655533 3137880874044 3511438120954 4706821311066 5267157181431 7022876241908 9413642622132 10534314362862 12290033423339 15801471544293 21068628725724 24580066846678 31602943088586 36870100270017 49160133693356 63205886177172 73740200540034 110610300810051 147480401080068 221220601620102 442441203240204