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142120443400 = 235213534492297
BaseRepresentation
bin1000010001011100001…
…0011101111000001000
3111120211121200120020221
42010113002131320020
54312030313142100
6145142250155424
713160606560015
oct2042702357010
9446747616227
10142120443400
1155300315701
1223663a22b74
131052bc8a030
146c430ba70c
153a6be7601a
hex211709de08

142120443400 has 192 divisors, whose sum is σ = 363527514000. Its totient is φ = 51348111360.

The previous prime is 142120443391. The next prime is 142120443419. The reversal of 142120443400 is 4344021241.

It can be written as a sum of positive squares in 24 ways, for example, as 4641151876 + 137479291524 = 68126^2 + 370782^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 61871052 + ... + 61873348.

Almost surely, 2142120443400 is an apocalyptic number.

142120443400 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 142120443400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181763757000).

142120443400 is an abundant number, since it is smaller than the sum of its proper divisors (221407070600).

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

142120443400 is a wasteful number, since it uses less digits than its factorization.

142120443400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2828 (or 2819 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

Adding to 142120443400 its reverse (4344021241), we get a palindrome (146464464641).

The spelling of 142120443400 in words is "one hundred forty-two billion, one hundred twenty million, four hundred forty-three thousand, four hundred".