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142888730000 = 245414288873
BaseRepresentation
bin1000010100010011010…
…1001111110110010000
3111122211011100120100012
42011010311033312100
54320114003330000
6145350413214052
713215626110442
oct2050465176620
9448734316305
10142888730000
1155664a65805
1223839191328
13106221b80a3
146cb714c492
153ab4636735
hex2144d4fd90

142888730000 has 50 divisors (see below), whose sum is σ = 345947928414. Its totient is φ = 57155488000.

The previous prime is 142888729993. The next prime is 142888730009. The reversal of 142888730000 is 37888241.

It can be written as a sum of positive squares in 5 ways, for example, as 63366985984 + 79521744016 = 251728^2 + 281996^2 .

It is a tau number, because it is divible by the number of its divisors (50).

It is a super-2 number, since 2×1428887300002 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 142888730000.

It is not an unprimeable number, because it can be changed into a prime (142888730009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 7134437 + ... + 7154436.

Almost surely, 2142888730000 is an apocalyptic number.

142888730000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

142888730000 is an abundant number, since it is smaller than the sum of its proper divisors (203059198414).

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

142888730000 is an equidigital number, since it uses as much as digits as its factorization.

142888730000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14288901 (or 14288880 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 41.

The spelling of 142888730000 in words is "one hundred forty-two billion, eight hundred eighty-eight million, seven hundred thirty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 625 1000 1250 2000 2500 5000 10000 14288873 28577746 57155492 71444365 114310984 142888730 228621968 285777460 357221825 571554920 714443650 1143109840 1428887300 1786109125 2857774600 3572218250 5715549200 7144436500 8930545625 14288873000 17861091250 28577746000 35722182500 71444365000 142888730000