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142705838700 = 2232521735925981
BaseRepresentation
bin1000010011100111101…
…1100100101001101100
3111122100102012201122100
42010321323210221230
54314230143314300
6145320321215100
713211245420605
oct2047173445154
9448312181570
10142705838700
11555807a8877
12237a7a91490
13105c3341199
146c9ab40dac
153aa355b700
hex2139ee4a6c

142705838700 has 216 divisors, whose sum is σ = 474953038560. Its totient is φ = 35715225600.

The previous prime is 142705838699. The next prime is 142705838701. The reversal of 142705838700 is 7838507241.

142705838700 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (142705838699) and next prime (142705838701).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (142705838701) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5479710 + ... + 5505690.

It is an arithmetic number, because the mean of its divisors is an integer number (2198856660).

Almost surely, 2142705838700 is an apocalyptic number.

142705838700 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 142705838700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237476519280).

142705838700 is an abundant number, since it is smaller than the sum of its proper divisors (332247199860).

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

142705838700 is a wasteful number, since it uses less digits than its factorization.

142705838700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26377 (or 26367 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The spelling of 142705838700 in words is "one hundred forty-two billion, seven hundred five million, eight hundred thirty-eight thousand, seven hundred".