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142931880000 = 2632547134363
BaseRepresentation
bin1000010100011101100…
…1110110100001000000
3111122221011112211000100
42011013121312201000
54320211030130000
6145354554122400
713216661635260
oct2050731664100
9448834484010
10142931880000
1155687357a68
122384b720400
131062b115630
146cbcb817a0
153ab830ba00
hex2147676840

142931880000 has 840 divisors, whose sum is σ = 630232611008. Its totient is φ = 30150144000.

The previous prime is 142931879941. The next prime is 142931880001. The reversal of 142931880000 is 88139241.

It is a tau number, because it is divible by the number of its divisors (840).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (142931880001) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 32757819 + ... + 32762181.

Almost surely, 2142931880000 is an apocalyptic number.

142931880000 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 142931880000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315116305504).

142931880000 is an abundant number, since it is smaller than the sum of its proper divisors (487300731008).

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

142931880000 is a wasteful number, since it uses less digits than its factorization.

142931880000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4421 (or 4393 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The spelling of 142931880000 in words is "one hundred forty-two billion, nine hundred thirty-one million, eight hundred eighty thousand".