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142755992064 = 29327291011511
BaseRepresentation
bin1000010011110011101…
…0111001001000000000
3111122110220120210010100
42010330322321020000
54314331013221224
6145325312202400
713212424624410
oct2047472711000
9448426523110
10142755992064
11555a7043834
1223800839400
131060085132a
146ca3678640
153aa7b66ac9
hex213ceb9200

142755992064 has 480 divisors, whose sum is σ = 492245994240. Its totient is φ = 38965248000.

The previous prime is 142755992053. The next prime is 142755992081. The reversal of 142755992064 is 460299557241.

It is a happy number.

142755992064 is a `hidden beast` number, since 1 + 4 + 2 + 7 + 559 + 9 + 20 + 64 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 142755992064.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 94477069 + ... + 94478579.

It is an arithmetic number, because the mean of its divisors is an integer number (1025512488).

Almost surely, 2142755992064 is an apocalyptic number.

142755992064 is a gapful number since it is divisible by the number (14) 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 142755992064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246122997120).

142755992064 is an abundant number, since it is smaller than the sum of its proper divisors (349490002176).

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

142755992064 is a wasteful number, since it uses less digits than its factorization.

142755992064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1672 (or 1653 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 142755992064 in words is "one hundred forty-two billion, seven hundred fifty-five million, nine hundred ninety-two thousand, sixty-four".