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142306344430110 = 232573714334260257
BaseRepresentation
bin100000010110110101000111…
…000110111110101000011110
3200122212100112211011212021100
4200112311013012332220132
5122123021343133230420
61222354344312213530
741655202606343340
oct4026650706765036
9618770484155240
10142306344430110
114138586656a5a3
1213b63b0a99a2a6
13615357a325313
14271d941749290
15116baabb49190
hex816d471bea1e

142306344430110 has 192 divisors, whose sum is σ = 434584760568192. Its totient is φ = 31625959292928.

The previous prime is 142306344430109. The next prime is 142306344430123. The reversal of 142306344430110 is 11034443603241.

142306344430110 is a `hidden beast` number, since 1 + 4 + 2 + 3 + 0 + 6 + 344 + 4 + 301 + 1 + 0 = 666.

142306344430110 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1423063444301102 (a number of 29 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 95 ways as a sum of consecutive naturals, for example, 31273102 + ... + 35533358.

It is an arithmetic number, because the mean of its divisors is an integer number (2263462294626).

Almost surely, 2142306344430110 is an apocalyptic number.

142306344430110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 142306344430110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217292380284096).

142306344430110 is an abundant number, since it is smaller than the sum of its proper divisors (292278416138082).

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

142306344430110 is a wasteful number, since it uses less digits than its factorization.

142306344430110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4261747 (or 4261744 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The spelling of 142306344430110 in words is "one hundred forty-two trillion, three hundred six billion, three hundred forty-four million, four hundred thirty thousand, one hundred ten".