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142455991680 = 2733589211439
BaseRepresentation
bin1000010010101100001…
…0011110110110000000
3111121201000002011222000
42010223002132312000
54313222213213210
6145235434144000
713202122643622
oct2045302366600
9447630064860
10142455991680
115546276a032
1223738282000
1310583653302
146c758a4c12
153a8b657ac0
hex212b09ed80

142455991680 has 512 divisors, whose sum is σ = 513786240000. Its totient is φ = 37298257920.

The previous prime is 142455991651. The next prime is 142455991729. The reversal of 142455991680 is 86199554241.

142455991680 is a `hidden beast` number, since 1 + 4 + 2 + 4 + 559 + 9 + 1 + 6 + 80 = 666.

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 polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 324500901 + ... + 324501339.

It is an arithmetic number, because the mean of its divisors is an integer number (1003488750).

Almost surely, 2142455991680 is an apocalyptic number.

142455991680 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 142455991680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256893120000).

142455991680 is an abundant number, since it is smaller than the sum of its proper divisors (371330248320).

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

142455991680 is a wasteful number, since it uses less digits than its factorization.

142455991680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 767 (or 749 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 54.

The spelling of 142455991680 in words is "one hundred forty-two billion, four hundred fifty-five million, nine hundred ninety-one thousand, six hundred eighty".