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142660344960 = 2733572967607
BaseRepresentation
bin1000010011011100111…
…0000001110010000000
3111122020020121101222000
42010313032001302000
54314132022014320
6145312014144000
713210153632030
oct2046716016200
9448206541860
10142660344960
1155558055741
12237947b2000
13105b6aa2c03
146c94a9b8c0
153a9e571c90
hex2137381c80

142660344960 has 1024 divisors, whose sum is σ = 607260672000. Its totient is φ = 30962663424.

The previous prime is 142660344923. The next prime is 142660344961. The reversal of 142660344960 is 69443066241.

142660344960 is a `hidden beast` number, since 14 + 26 + 603 + 4 + 4 + 9 + 6 + 0 = 666.

142660344960 is digitally balanced in base 3, 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 (142660344961) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 235024977 + ... + 235025583.

It is an arithmetic number, because the mean of its divisors is an integer number (593028000).

Almost surely, 2142660344960 is an apocalyptic number.

142660344960 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 142660344960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303630336000).

142660344960 is an abundant number, since it is smaller than the sum of its proper divisors (464600327040).

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

142660344960 is a wasteful number, since it uses less digits than its factorization.

142660344960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 738 (or 720 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 45.

The spelling of 142660344960 in words is "one hundred forty-two billion, six hundred sixty million, three hundred forty-four thousand, nine hundred sixty".