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142432853040000 = 27325417181239269
BaseRepresentation
bin100000011000101010111011…
…100111000001101110000000
3200200022110002102110010001100
4200120222323213001232000
5122132104440334240000
61222532425510534400
742000301606650645
oct4030527347015600
9620273072403040
10142432853040000
1141424485362656
1213b84536367400
13616248ba86433
142725b03257dcc
151170013201a00
hex818abb9c1b80

142432853040000 has 1920 divisors, whose sum is σ = 549608531472000. Its totient is φ = 35270000640000.

The previous prime is 142432853039999. The next prime is 142432853040007. The reversal of 142432853040000 is 40358234241.

142432853040000 is a `hidden beast` number, since 1 + 4 + 24 + 328 + 5 + 304 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a super-2 number, since 2×1424328530400002 (a number of 29 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142432853040007) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 529490159866 + ... + 529490160134.

It is an arithmetic number, because the mean of its divisors is an integer number (286254443475).

Almost surely, 2142432853040000 is an apocalyptic number.

142432853040000 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 142432853040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274804265736000).

142432853040000 is an abundant number, since it is smaller than the sum of its proper divisors (407175678432000).

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

142432853040000 is a wasteful number, since it uses less digits than its factorization.

142432853040000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 746 (or 716 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The spelling of 142432853040000 in words is "one hundred forty-two trillion, four hundred thirty-two billion, eight hundred fifty-three million, forty thousand".