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142941163680 = 25325731619739
BaseRepresentation
bin1000010100011111110…
…1010001000010100000
3111122221211000110211100
42011013331101002200
54320220414214210
6145355525114400
713220133562350
oct2050775210240
9448854013740
10142941163680
1155691618a27
1223852858a00
1310630016133
146cc00bab60
153ab90425c0
hex2147f510a0

142941163680 has 576 divisors, whose sum is σ = 577163059200. Its totient is φ = 31524526080.

The previous prime is 142941163667. The next prime is 142941163721. The reversal of 142941163680 is 86361149241.

142941163680 is a `hidden beast` number, since 1 + 4 + 2 + 9 + 4 + 1 + 1 + 636 + 8 + 0 = 666.

It is a super-2 number, since 2×1429411636802 (a number of 23 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 193424751 + ... + 193425489.

It is an arithmetic number, because the mean of its divisors is an integer number (1002019200).

Almost surely, 2142941163680 is an apocalyptic number.

142941163680 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 142941163680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288581529600).

142941163680 is an abundant number, since it is smaller than the sum of its proper divisors (434221895520).

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

142941163680 is a wasteful number, since it uses less digits than its factorization.

142941163680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1417 (or 1406 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 142941163680 in words is "one hundred forty-two billion, nine hundred forty-one million, one hundred sixty-three thousand, six hundred eighty".