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42331404000 = 2535337671423
BaseRepresentation
bin100111011011001001…
…011111011011100000
311001021011000010112210
4213123021133123200
51143143314412000
631240300522120
73026003666004
oct473311373340
9131234003483
1042331404000
1116a52a79406
128254850340
133cb80a1762
142098092704
15117b50d350
hex9db25f6e0

42331404000 has 384 divisors, whose sum is σ = 144653064192. Its totient is φ = 10811750400.

The previous prime is 42331403999. The next prime is 42331404007. The reversal of 42331404000 is 40413324.

It is a super-2 number, since 2×423314040002 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42331404007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 29747289 + ... + 29748711.

It is an arithmetic number, because the mean of its divisors is an integer number (376700688).

Almost surely, 242331404000 is an apocalyptic number.

42331404000 is a gapful number since it is divisible by the number (40) 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 42331404000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72326532096).

42331404000 is an abundant number, since it is smaller than the sum of its proper divisors (102321660192).

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

42331404000 is a wasteful number, since it uses less digits than its factorization.

42331404000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1555 (or 1537 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

Adding to 42331404000 its reverse (40413324), we get a palindrome (42371817324).

The spelling of 42331404000 in words is "forty-two billion, three hundred thirty-one million, four hundred four thousand".