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142003014840 = 233451737591181
BaseRepresentation
bin1000010001000000001…
…0100000110010111000
3111120112102201120120000
42010100002200302320
54311310232433330
6145122453233000
713154652465501
oct2042002406270
9446472646500
10142003014840
115524aaaa905
1223630632760
131051085368b
146c3166dba8
153a619cc560
hex21100a0cb8

142003014840 has 640 divisors, whose sum is σ = 528266059200. Its totient is φ = 34060124160.

The previous prime is 142003014793. The next prime is 142003014869. The reversal of 142003014840 is 48410300241.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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 159 ways as a sum of consecutive naturals, for example, 120239050 + ... + 120240230.

Almost surely, 2142003014840 is an apocalyptic number.

142003014840 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 142003014840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264133029600).

142003014840 is an abundant number, since it is smaller than the sum of its proper divisors (386263044360).

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

142003014840 is a wasteful number, since it uses less digits than its factorization.

142003014840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1317 (or 1304 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The spelling of 142003014840 in words is "one hundred forty-two billion, three million, fourteen thousand, eight hundred forty".