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142463391840 = 253357211175961
BaseRepresentation
bin1000010010101101111…
…0101101100001100000
3111121201112000011002000
42010223132231201200
54313231112014330
6145240300524000
713202242564500
oct2045336554140
9447645004060
10142463391840
1155466963970
122373a850600
13105850446c3
146c7686da00
153a8c11a560
hex212b7ad860

142463391840 has 2304 divisors, whose sum is σ = 692505676800. Its totient is φ = 26940211200.

The previous prime is 142463391839. The next prime is 142463391869. The reversal of 142463391840 is 48193364241.

142463391840 is a `hidden beast` number, since 1 + 4 + 2 + 4 + 633 + 9 + 1 + 8 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 383 ways as a sum of consecutive naturals, for example, 2335465410 + ... + 2335465470.

It is an arithmetic number, because the mean of its divisors is an integer number (300566700).

Almost surely, 2142463391840 is an apocalyptic number.

142463391840 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 142463391840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346252838400).

142463391840 is an abundant number, since it is smaller than the sum of its proper divisors (550042284960).

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

142463391840 is a wasteful number, since it uses less digits than its factorization.

142463391840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 142463391840 in words is "one hundred forty-two billion, four hundred sixty-three million, three hundred ninety-one thousand, eight hundred forty".