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23411402103040 = 2857112913671693
BaseRepresentation
bin1010101001010111001000…
…10011100101100100000000
310001220002220212101000000021
411110223210103211210000
511032033022414244130
6121443014420303224
74634263240323640
oct524534423454400
9101802825330007
1023411402103040
1175067a1175966
122761353241b14
13100a8bb7761b3
145ad191778520
152a8eb6ede37a
hex154ae44e5900

23411402103040 has 288 divisors, whose sum is σ = 64230319802880. Its totient is φ = 8009056714752.

The previous prime is 23411402102987. The next prime is 23411402103053. The reversal of 23411402103040 is 4030120411432.

23411402103040 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 23411402102996 and 23411402103014.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13828352434 + ... + 13828354126.

It is an arithmetic number, because the mean of its divisors is an integer number (223021943760).

Almost surely, 223411402103040 is an apocalyptic number.

23411402103040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23411402103040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32115159901440).

23411402103040 is an abundant number, since it is smaller than the sum of its proper divisors (40818917699840).

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

23411402103040 is a wasteful number, since it uses less digits than its factorization.

23411402103040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4217 (or 4203 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 23411402103040 its reverse (4030120411432), we get a palindrome (27441522514472).

The spelling of 23411402103040 in words is "twenty-three trillion, four hundred eleven billion, four hundred two million, one hundred three thousand, forty".