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142194648960 = 27335713312917
BaseRepresentation
bin1000010001101101110…
…1100010011110000000
3111121000210022121011000
42010123131202132000
54312203312231320
6145153500452000
713162500400530
oct2043335423600
9447023277130
10142194648960
1155339199411
122368484a000
131054146bb50
146c4ccb54c0
153a73732c90
hex211b762780

142194648960 has 1024 divisors, whose sum is σ = 640036454400. Its totient is φ = 29023764480.

The previous prime is 142194648923. The next prime is 142194648983. The reversal of 142194648960 is 69846491241.

142194648960 is a `hidden beast` number, since 1 + 42 + 1 + 9 + 464 + 89 + 60 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 142194648897 and 142194648906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 48745422 + ... + 48748338.

It is an arithmetic number, because the mean of its divisors is an integer number (625035600).

Almost surely, 2142194648960 is an apocalyptic number.

142194648960 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 142194648960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320018227200).

142194648960 is an abundant number, since it is smaller than the sum of its proper divisors (497841805440).

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

142194648960 is a wasteful number, since it uses less digits than its factorization.

142194648960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2996 (or 2978 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 142194648960 in words is "one hundred forty-two billion, one hundred ninety-four million, six hundred forty-eight thousand, nine hundred sixty".