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142831874160 = 243252921391697
BaseRepresentation
bin1000010100000101110…
…0010111000001110000
3111122200012100222210100
42011001130113001300
54320004424433120
6145341022432400
713214335620123
oct2050134270160
9448605328710
10142831874160
1155635962108
1223822132700
131061349c291
146cad78c3ba
153aae655490
hex2141717070

142831874160 has 360 divisors, whose sum is σ = 500656862160. Its totient is φ = 36489019392.

The previous prime is 142831874147. The next prime is 142831874161. The reversal of 142831874160 is 61478138241.

142831874160 is a `hidden beast` number, since 1 + 428 + 3 + 187 + 41 + 6 + 0 = 666.

142831874160 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142831874161) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 84166432 + ... + 84168128.

It is an arithmetic number, because the mean of its divisors is an integer number (1390713506).

Almost surely, 2142831874160 is an apocalyptic number.

142831874160 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 142831874160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250328431080).

142831874160 is an abundant number, since it is smaller than the sum of its proper divisors (357824988000).

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

142831874160 is a wasteful number, since it uses less digits than its factorization.

142831874160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1913 (or 1875 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 142831874160 in words is "one hundred forty-two billion, eight hundred thirty-one million, eight hundred seventy-four thousand, one hundred sixty".