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142419492864 = 2163611271
BaseRepresentation
bin1000010010100011011…
…1010000000000000000
3111121121110101212000000
42010220313100000000
54313133342232424
6145232052000000
713201200500235
oct2045067200000
9447543355000
10142419492864
11554440aaa20
1223728000000
1310578c1428c
146c70ac378c
153a883483c9
hex2128dd0000

142419492864 has 476 divisors, whose sum is σ = 467602608192. Its totient is φ = 42998169600.

The previous prime is 142419492857. The next prime is 142419492883. The reversal of 142419492864 is 468294914241.

142419492864 is a `hidden beast` number, since 1 + 424 + 194 + 9 + 28 + 6 + 4 = 666.

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

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 142419492864.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 525533049 + ... + 525533319.

Almost surely, 2142419492864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 142419492864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233801304096).

142419492864 is an abundant number, since it is smaller than the sum of its proper divisors (325183115328).

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

142419492864 is an frugal number, since it uses more digits than its factorization.

142419492864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 332 (or 287 counting only the distinct ones).

The product of its digits is 3981312, while the sum is 54.

It can be divided in two parts, 142419492 and 864, that added together give a square (142420356 = 119342).

The spelling of 142419492864 in words is "one hundred forty-two billion, four hundred nineteen million, four hundred ninety-two thousand, eight hundred sixty-four".