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204334041200144 = 2467738561489197
BaseRepresentation
bin101110011101011100111001…
…111100001111011000010000
3222210111010212122202221001012
4232131130321330033120100
5203240302104021401034
62002325432421430052
761016435011552622
oct5635347174173020
9883433778687035
10204334041200144
115a11a642309779
121ab01380b6b328
138a0280459689b
143865b6b10ac12
1518952e5ee4cce
hexb9d739f0f610

204334041200144 has 40 divisors (see below), whose sum is σ = 396493078954968. Its totient is φ = 102013255086080.

The previous prime is 204334041200143. The next prime is 204334041200153. The reversal of 204334041200144 is 441002140433402.

It can be written as a sum of positive squares in 4 ways, for example, as 15433426531600 + 188900614668544 = 3928540^2 + 13744112^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 204334041200144.

It is not an unprimeable number, because it can be changed into a prime (204334041200141) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 417448154 + ... + 417937350.

Almost surely, 2204334041200144 is an apocalyptic number.

It is an amenable number.

204334041200144 is a deficient number, since it is larger than the sum of its proper divisors (192159037754824).

204334041200144 is a wasteful number, since it uses less digits than its factorization.

204334041200144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 528443 (or 528437 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

Adding to 204334041200144 its reverse (441002140433402), we get a palindrome (645336181633546).

The spelling of 204334041200144 in words is "two hundred four trillion, three hundred thirty-four billion, forty-one million, two hundred thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 677 1354 2708 5416 10832 38561 77122 154244 308488 489197 616976 978394 1956788 3913576 7827152 26105797 52211594 104423188 208846376 331186369 417692752 662372738 1324745476 2649490952 5298981904 18863925517 37727851034 75455702068 150911404136 301822808272 12770877575009 25541755150018 51083510300036 102167020600072 204334041200144