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142862752032 = 253721113217312
BaseRepresentation
bin1000010100001101001…
…0001001100100100000
3111122202100110202021020
42011003102021210200
54320040331031112
6145344044325440
713215162233100
oct2050322114440
9448670422236
10142862752032
1155651332110
1223830543880
13106199c0a00
146cb3909200
153ab220448c
hex2143489920

142862752032 has 1296 divisors, whose sum is σ = 563805730656. Its totient is φ = 31198003200.

The previous prime is 142862752013. The next prime is 142862752033. The reversal of 142862752032 is 230257268241.

142862752032 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-6 number, since 6×1428627520326 (a number of 68 digits) contains 666666 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142862752033) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 4608475857 + ... + 4608475887.

It is an arithmetic number, because the mean of its divisors is an integer number (435035286).

Almost surely, 2142862752032 is an apocalyptic number.

142862752032 is a gapful number since it is divisible by the number (12) 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 142862752032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281902865328).

142862752032 is an abundant number, since it is smaller than the sum of its proper divisors (420942978624).

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

142862752032 is a wasteful number, since it uses less digits than its factorization.

142862752032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 42.

The spelling of 142862752032 in words is "one hundred forty-two billion, eight hundred sixty-two million, seven hundred fifty-two thousand, thirty-two".