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40151615104 = 271718452029
BaseRepresentation
bin100101011001001110…
…010000011010000000
310211122020100101022201
4211121032100122000
51124212303140404
630240112242544
72620665045226
oct453116203200
9124566311281
1040151615104
11160345a3787
127946840454
133a2b5c8643
141d2c796b16
15109ee84ca4
hex959390680

40151615104 has 32 divisors (see below), whose sum is σ = 84694817700. Its totient is φ = 18894876672.

The previous prime is 40151615099. The next prime is 40151615107.

40151615104 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 37900302400 + 2251312704 = 194680^2 + 47448^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×401516151042 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (40151615107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 9223839 + ... + 9228190.

Almost surely, 240151615104 is an apocalyptic number.

It is an amenable number.

40151615104 is an abundant number, since it is smaller than the sum of its proper divisors (44543202596).

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

40151615104 is a wasteful number, since it uses less digits than its factorization.

40151615104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18452060 (or 18452048 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 28.

The spelling of 40151615104 in words is "forty billion, one hundred fifty-one million, six hundred fifteen thousand, one hundred four".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 272 544 1088 2176 18452029 36904058 73808116 147616232 295232464 313684493 590464928 627368986 1180929856 1254737972 2361859712 2509475944 5018951888 10037903776 20075807552 40151615104