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142485324800 = 21052713311973
BaseRepresentation
bin1000010010110011001…
…0011000010000000000
3111121210001021110102212
42010230302120100000
54313302220343200
6145242403001252
713202630164130
oct2045462302000
9447701243385
10142485324800
1155478284485
1223746069228
13105897538a0
146c7973cac0
153a8deee035
hex212cc98400

142485324800 has 528 divisors, whose sum is σ = 448946598912. Its totient is φ = 43617484800.

The previous prime is 142485324797. The next prime is 142485324833. The reversal of 142485324800 is 8423584241.

It is a happy number.

It is a super-2 number, since 2×1424853248002 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 72216614 + ... + 72218586.

Almost surely, 2142485324800 is an apocalyptic number.

142485324800 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 142485324800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224473299456).

142485324800 is an abundant number, since it is smaller than the sum of its proper divisors (306461274112).

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

142485324800 is a wasteful number, since it uses less digits than its factorization.

142485324800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2054 (or 2031 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 41.

The spelling of 142485324800 in words is "one hundred forty-two billion, four hundred eighty-five million, three hundred twenty-four thousand, eight hundred".