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204412431145 = 51310928851437
BaseRepresentation
bin1011111001011111101…
…1100010101100101001
3201112121212001102010011
42332113323202230221
511322114040244040
6233523351451521
720524346665516
oct2762773425451
9645555042104
10204412431145
117976654100a
1233749386ba1
1316378515490
149c7211430d
1554b5a163ea
hex2f97ee2b29

204412431145 has 16 divisors (see below), whose sum is σ = 266587287120. Its totient is φ = 149565844224.

The previous prime is 204412431103. The next prime is 204412431149. The reversal of 204412431145 is 541134214402.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 21971539984 + 182440891161 = 148228^2 + 427131^2 .

It is a cyclic number.

It is not a de Polignac number, because 204412431145 - 213 = 204412422953 is a prime.

It is a super-2 number, since 2×2044124311452 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (204412431149) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 14418634 + ... + 14432803.

It is an arithmetic number, because the mean of its divisors is an integer number (16661705445).

Almost surely, 2204412431145 is an apocalyptic number.

It is an amenable number.

204412431145 is a deficient number, since it is larger than the sum of its proper divisors (62174855975).

204412431145 is a wasteful number, since it uses less digits than its factorization.

204412431145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28851564.

The product of its (nonzero) digits is 15360, while the sum is 31.

Adding to 204412431145 its reverse (541134214402), we get a palindrome (745546645547).

The spelling of 204412431145 in words is "two hundred four billion, four hundred twelve million, four hundred thirty-one thousand, one hundred forty-five".

Divisors: 1 5 13 65 109 545 1417 7085 28851437 144257185 375068681 1875343405 3144806633 15724033165 40882486229 204412431145