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20241400104 = 2332281130557
BaseRepresentation
bin10010110110011110…
…110100000100101000
31221020122202122221100
4102312132310010220
5312423244300404
613144311241400
71314413030202
oct226636640450
957218678840
1020241400104
118647819542
123b0a979260
131ba76c8b33
14da03a3772
157d7051d39
hex4b67b4128

20241400104 has 24 divisors (see below), whose sum is σ = 54820458810. Its totient is φ = 6747133344.

The previous prime is 20241400099. The next prime is 20241400111. The reversal of 20241400104 is 40100414202.

20241400104 is a `hidden beast` number, since 20 + 241 + 400 + 1 + 0 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 19185020100 + 1056380004 = 138510^2 + 32502^2 .

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

It is a super-2 number, since 2×202414001042 (a number of 21 digits) contains 22 as substring.

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

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, 140565207 + ... + 140565350.

Almost surely, 220241400104 is an apocalyptic number.

20241400104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

20241400104 is an abundant number, since it is smaller than the sum of its proper divisors (34579058706).

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

20241400104 is a wasteful number, since it uses less digits than its factorization.

20241400104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 281130569 (or 281130562 counting only the distinct ones).

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

Adding to 20241400104 its reverse (40100414202), we get a palindrome (60341814306).

The spelling of 20241400104 in words is "twenty billion, two hundred forty-one million, four hundred thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 281130557 562261114 843391671 1124522228 1686783342 2249044456 2530175013 3373566684 5060350026 6747133368 10120700052 20241400104