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142341512400 = 24325245618669
BaseRepresentation
bin1000010010010000110…
…1110001110011010000
3111121102000200000220200
42010210031301303100
54313003411344100
6145220224335200
713166232615033
oct2044415616320
9447360600820
10142341512400
115540408905a
1223705a74500
1310565a101a9
146c645c501a
153a81592e00
hex2124371cd0

142341512400 has 180 divisors, whose sum is σ = 494129882220. Its totient is φ = 37945036800.

The previous prime is 142341512381. The next prime is 142341512419. The reversal of 142341512400 is 4215143241.

142341512400 is a `hidden beast` number, since 1 + 4 + 2 + 3 + 415 + 1 + 240 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (142341512381) and next prime (142341512419).

It can be written as a sum of positive squares in 6 ways, for example, as 8973393984 + 133368118416 = 94728^2 + 365196^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a super-2 number, since 2×1423415124002 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 16415266 + ... + 16423934.

Almost surely, 2142341512400 is an apocalyptic number.

142341512400 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 142341512400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247064941110).

142341512400 is an abundant number, since it is smaller than the sum of its proper divisors (351788369820).

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

142341512400 is a wasteful number, since it uses less digits than its factorization.

142341512400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13254 (or 13240 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 142341512400 its reverse (4215143241), we get a palindrome (146556655641).

The spelling of 142341512400 in words is "one hundred forty-two billion, three hundred forty-one million, five hundred twelve thousand, four hundred".