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142632360080 = 24571923718209
BaseRepresentation
bin1000010011010110001…
…1010001100010010000
3111122011021221121220222
42010311203101202100
54314102341010310
6145305134252212
713206364025330
oct2046543214220
9448137847828
10142632360080
1155543281241
1223787357068
13105b1055202
146c910950c0
153a9bd95055
hex21358d1890

142632360080 has 320 divisors, whose sum is σ = 422201548800. Its totient is φ = 43684945920.

The previous prime is 142632360067. The next prime is 142632360089. The reversal of 142632360080 is 80063236241.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 142632360080.

It is not an unprimeable number, because it can be changed into a prime (142632360089) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17371016 + ... + 17379224.

It is an arithmetic number, because the mean of its divisors is an integer number (1319379840).

Almost surely, 2142632360080 is an apocalyptic number.

142632360080 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 142632360080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211100774400).

142632360080 is an abundant number, since it is smaller than the sum of its proper divisors (279569188720).

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

142632360080 is a wasteful number, since it uses less digits than its factorization.

142632360080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8342 (or 8336 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 35.

The spelling of 142632360080 in words is "one hundred forty-two billion, six hundred thirty-two million, three hundred sixty thousand, eighty".