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2343802592040 = 233572131997127131
BaseRepresentation
bin100010000110110101100…
…001010101101100101000
322022001202122002002211220
4202012311201111230220
5301400101430421130
64552421131422040
7331222420214400
oct42066541255450
98261678062756
102343802592040
11824001507878
1231a2b28b4920
131400341a96a0
1481625207800
1540e7ae02410
hex221b5855b28

2343802592040 has 1536 divisors, whose sum is σ = 9513610444800. Its totient is φ = 456497233920.

The previous prime is 2343802592009. The next prime is 2343802592041. The reversal of 2343802592040 is 402952083432.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 2343802591983 and 2343802592001.

It is not an unprimeable number, because it can be changed into a prime (2343802592041) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 17891622775 + ... + 17891622905.

It is an arithmetic number, because the mean of its divisors is an integer number (6193756800).

Almost surely, 22343802592040 is an apocalyptic number.

2343802592040 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 2343802592040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4756805222400).

2343802592040 is an abundant number, since it is smaller than the sum of its proper divisors (7169807852760).

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

2343802592040 is a wasteful number, since it uses less digits than its factorization.

2343802592040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 415 (or 404 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 42.

The spelling of 2343802592040 in words is "two trillion, three hundred forty-three billion, eight hundred two million, five hundred ninety-two thousand, forty".