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142418884608 = 21133711133183
BaseRepresentation
bin1000010010100011010…
…0111011100000000000
3111121121102020221122000
42010220310323200000
54313133213301413
6145232030544000
713201162355010
oct2045064734000
9447542227560
10142418884608
1155443824a30
1223727968000
1310578a60470
146c709a5c40
153a88278073
hex2128d3b800

142418884608 has 1536 divisors, whose sum is σ = 591755673600. Its totient is φ = 32646758400.

The previous prime is 142418884567. The next prime is 142418884679. The reversal of 142418884608 is 806488814241.

142418884608 is a `hidden beast` number, since 1 + 4 + 24 + 1 + 8 + 8 + 8 + 4 + 608 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1715890135 + ... + 1715890217.

It is an arithmetic number, because the mean of its divisors is an integer number (385257600).

Almost surely, 2142418884608 is an apocalyptic number.

142418884608 is a gapful number since it is divisible by the number (18) 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 142418884608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295877836800).

142418884608 is an abundant number, since it is smaller than the sum of its proper divisors (449336788992).

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

142418884608 is a wasteful number, since it uses less digits than its factorization.

142418884608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 3145728, while the sum is 54.

The spelling of 142418884608 in words is "one hundred forty-two billion, four hundred eighteen million, eight hundred eighty-four thousand, six hundred eight".