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10414202004 = 2232289283389
BaseRepresentation
bin10011011001011110…
…00001110010010100
3222212210011021110100
421230233001302110
5132312013431004
64441220254100
7516034153653
oct115457016224
928783137410
1010414202004
114464600118
122027841330
13c9c76210b
1470b18319a
1540e429739
hex26cbc1c94

10414202004 has 18 divisors (see below), whose sum is σ = 26324788490. Its totient is φ = 3471400656.

The previous prime is 10414201951. The next prime is 10414202009. The reversal of 10414202004 is 40020241401.

10414202004 is a `hidden beast` number, since 1 + 0 + 41 + 420 + 200 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 9878372100 + 535829904 = 99390^2 + 23148^2 .

It is a tau number, because it is divible by the number of its divisors (18).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10414202009) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 144641659 + ... + 144641730.

Almost surely, 210414202004 is an apocalyptic number.

It is an amenable number.

10414202004 is an abundant number, since it is smaller than the sum of its proper divisors (15910586486).

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

10414202004 is a wasteful number, since it uses less digits than its factorization.

10414202004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289283399 (or 289283394 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 10414202004 its reverse (40020241401), we get a palindrome (50434443405).

The spelling of 10414202004 in words is "ten billion, four hundred fourteen million, two hundred two thousand, four".

Divisors: 1 2 3 4 6 9 12 18 36 289283389 578566778 867850167 1157133556 1735700334 2603550501 3471400668 5207101002 10414202004