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142660624140 = 223351742136913
BaseRepresentation
bin1000010011011100111…
…1000101111100001100
3111122020021010120221000
42010313033011330030
54314132104433030
6145312024140300
713210156203666
oct2046717057414
9448207116830
10142660624140
1155558226471
1223794907690
13105b6b6ccc8
146c94b31536
153a9e5c9860
hex21373c5f0c

142660624140 has 192 divisors, whose sum is σ = 471069889920. Its totient is φ = 35719004160.

The previous prime is 142660624049. The next prime is 142660624153. The reversal of 142660624140 is 41426066241.

142660624140 is a `hidden beast` number, since 1 + 4 + 2 + 6 + 606 + 2 + 4 + 1 + 40 = 666.

142660624140 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 (36).

It is a junction number, because it is equal to n+sod(n) for n = 142660624095 and 142660624104.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 3846324 + ... + 3883236.

It is an arithmetic number, because the mean of its divisors is an integer number (2453489010).

Almost surely, 2142660624140 is an apocalyptic number.

142660624140 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 142660624140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235534944960).

142660624140 is an abundant number, since it is smaller than the sum of its proper divisors (328409265780).

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

142660624140 is a wasteful number, since it uses less digits than its factorization.

142660624140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37369 (or 37361 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 142660624140 in words is "one hundred forty-two billion, six hundred sixty million, six hundred twenty-four thousand, one hundred forty".