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142412032440 = 23345532693083
BaseRepresentation
bin1000010010100001101…
…0110010100110111000
3111121120221100211020000
42010220122302212320
54313124440014230
6145231224033000
713201050205566
oct2045032624670
9447527324200
10142412032440
115543a974887
1223725602760
1310577501622
146c6db00a36
153a87872b60
hex21286b29b8

142412032440 has 320 divisors, whose sum is σ = 489665800800. Its totient is φ = 37109449728.

The previous prime is 142412032397. The next prime is 142412032507. The reversal of 142412032440 is 44230214241.

142412032440 is a `hidden beast` number, since 1 + 4 + 2 + 412 + 0 + 3 + 244 + 0 = 666.

It is a super-2 number, since 2×1424120324402 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 46191139 + ... + 46194221.

Almost surely, 2142412032440 is an apocalyptic number.

142412032440 is a gapful number since it is divisible by the number (10) 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 142412032440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244832900400).

142412032440 is an abundant number, since it is smaller than the sum of its proper divisors (347253768360).

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

142412032440 is a wasteful number, since it uses less digits than its factorization.

142412032440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3428 (or 3415 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 142412032440 its reverse (44230214241), we get a palindrome (186642246681).

The spelling of 142412032440 in words is "one hundred forty-two billion, four hundred twelve million, thirty-two thousand, four hundred forty".