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142881387264 = 283671161163
BaseRepresentation
bin1000010100010001100…
…1001111001100000000
3111122210122112112000000
42011010121033030000
54320110113343024
6145345552000000
713215506516160
oct2050431171400
9448718475000
10142881387264
1155660900030
1223836830000
1310620816b85
146cb619a5a0
153ab3b85cc9
hex214464f300

142881387264 has 1008 divisors, whose sum is σ = 545189938944. Its totient is φ = 36279705600.

The previous prime is 142881387179. The next prime is 142881387269. The reversal of 142881387264 is 462783188241.

142881387264 is a `hidden beast` number, since 1 + 428 + 81 + 3 + 87 + 2 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

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.

It is a self number, because there is not a number n which added to its sum of digits gives 142881387264.

It is not an unprimeable number, because it can be changed into a prime (142881387269) by changing a digit.

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 111 ways as a sum of consecutive naturals, for example, 876572847 + ... + 876573009.

Almost surely, 2142881387264 is an apocalyptic number.

142881387264 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 142881387264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272594969472).

142881387264 is an abundant number, since it is smaller than the sum of its proper divisors (402308551680).

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

142881387264 is an equidigital number, since it uses as much as digits as its factorization.

142881387264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276 (or 247 counting only the distinct ones).

The product of its digits is 4128768, while the sum is 54.

The spelling of 142881387264 in words is "one hundred forty-two billion, eight hundred eighty-one million, three hundred eighty-seven thousand, two hundred sixty-four".