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140140140444000 = 25335329376111897
BaseRepresentation
bin11111110111010011101011…
…010010100011100101100000
3200101012021012100012201022000
4133313103223102203211200
5121332024001423202000
61214015254115044000
741342535215305104
oct3767235322434540
9611167170181260
10140140140444000
1140720110920004
12138741215a0600
13602720a406b48
142686b67437904
151130577701000
hex7f74eb4a3960

140140140444000 has 768 divisors, whose sum is σ = 527884791033600. Its totient is φ = 36069433344000.

The previous prime is 140140140443969. The next prime is 140140140444011. The reversal of 140140140444000 is 444041041041.

140140140444000 is a `hidden beast` number, since 1 + 40 + 1 + 40 + 140 + 4 + 440 + 0 + 0 = 666.

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 polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 11779446052 + ... + 11779457948.

It is an arithmetic number, because the mean of its divisors is an integer number (687349988325).

Almost surely, 2140140140444000 is an apocalyptic number.

140140140444000 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 140140140444000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263942395516800).

140140140444000 is an abundant number, since it is smaller than the sum of its proper divisors (387744650589600).

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

140140140444000 is a wasteful number, since it uses less digits than its factorization.

140140140444000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15721 (or 15697 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

Adding to 140140140444000 its reverse (444041041041), we get a palindrome (140584181485041).

The spelling of 140140140444000 in words is "one hundred forty trillion, one hundred forty billion, one hundred forty million, four hundred forty-four thousand".