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40148284104 = 2332557615057
BaseRepresentation
bin100101011001000001…
…100011001011001000
310211122000002011001100
4211121001203023020
51124210430042404
630235513021400
72620624532655
oct453101431310
9124560064040
1040148284104
1116032729095
1279456b4860
133a2aa00436
141d2c16ac2c
15109ea27d39
hex9590632c8

40148284104 has 24 divisors (see below), whose sum is σ = 108734936310. Its totient is φ = 13382761344.

The previous prime is 40148284061. The next prime is 40148284123.

40148284104 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in only one way, i.e., 39999200004 + 149084100 = 199998^2 + 12210^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×401482841042 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 278807457 + ... + 278807600.

Almost surely, 240148284104 is an apocalyptic number.

It is an amenable number.

40148284104 is an abundant number, since it is smaller than the sum of its proper divisors (68586652206).

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

40148284104 is a wasteful number, since it uses less digits than its factorization.

40148284104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 557615069 (or 557615062 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 36.

The spelling of 40148284104 in words is "forty billion, one hundred forty-eight million, two hundred eighty-four thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 557615057 1115230114 1672845171 2230460228 3345690342 4460920456 5018535513 6691380684 10037071026 13382761368 20074142052 40148284104