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40224000204 = 22326716676617
BaseRepresentation
bin100101011101100010…
…011000100011001100
310211211021112221000100
4211131202120203030
51124334321001304
630251215531100
72622534234423
oct453542304314
9124737487010
1040224000204
1116071443783
127966b29a90
133a405c096b
141d3823a2ba
1510a64d2439
hex95d8988cc

40224000204 has 36 divisors (see below), whose sum is σ = 103194912184. Its totient is φ = 13207879872.

The previous prime is 40224000191. The next prime is 40224000209. The reversal of 40224000204 is 40200042204.

40224000204 is a `hidden beast` number, since 40 + 22 + 400 + 0 + 204 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×402240002042 (a number of 22 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (40224000209) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8335897 + ... + 8340720.

Almost surely, 240224000204 is an apocalyptic number.

It is an amenable number.

40224000204 is an abundant number, since it is smaller than the sum of its proper divisors (62970911980).

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

40224000204 is a wasteful number, since it uses less digits than its factorization.

40224000204 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16676694 (or 16676689 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

Adding to 40224000204 its reverse (40200042204), we get a palindrome (80424042408).

The spelling of 40224000204 in words is "forty billion, two hundred twenty-four million, two hundred four", and thus it is an aban number.

Divisors: 1 2 3 4 6 9 12 18 36 67 134 201 268 402 603 804 1206 2412 16676617 33353234 50029851 66706468 100059702 150089553 200119404 300179106 600358212 1117333339 2234666678 3352000017 4469333356 6704000034 10056000051 13408000068 20112000102 40224000204