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142526366640 = 243357217113701
BaseRepresentation
bin1000010010111100111…
…0111100001110110000
3111121212220111121021000
42010233032330032300
54313343222213030
6145250430402000
713203636061500
oct2045716741660
9447786447230
10142526366640
1155499466859
1223757960300
13105950c36b8
146c80d83a00
153a92909860
hex212f3bc3b0

142526366640 has 960 divisors, whose sum is σ = 610888936320. Its totient is φ = 30346444800.

The previous prime is 142526366603. The next prime is 142526366641. The reversal of 142526366640 is 46663625241.

It is a happy number.

142526366640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (142526366641) 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 191 ways as a sum of consecutive naturals, for example, 203318290 + ... + 203318990.

It is an arithmetic number, because the mean of its divisors is an integer number (636342642).

Almost surely, 2142526366640 is an apocalyptic number.

142526366640 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 142526366640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305444468160).

142526366640 is an abundant number, since it is smaller than the sum of its proper divisors (468362569680).

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

142526366640 is a wasteful number, since it uses less digits than its factorization.

142526366640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 867 (or 848 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 45.

The spelling of 142526366640 in words is "one hundred forty-two billion, five hundred twenty-six million, three hundred sixty-six thousand, six hundred forty".