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140441401056 = 25311223312547
BaseRepresentation
bin1000001011001011110…
…1011011011011100000
3111102111121021101011110
42002302331123123200
54300110444313211
6144303510343320
713101161132565
oct2026275333340
9442447241143
10140441401056
1154619567300
122327565ab40
131032216aa58
146b240cc86c
1539be861ea6
hex20b2f5b6e0

140441401056 has 432 divisors, whose sum is σ = 437716814976. Its totient is φ = 39322483200.

The previous prime is 140441401049. The next prime is 140441401063. The reversal of 140441401056 is 650104144041.

140441401056 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (140441401049) and next prime (140441401063).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 256748175 + ... + 256748721.

It is an arithmetic number, because the mean of its divisors is an integer number (1013233368).

Almost surely, 2140441401056 is an apocalyptic number.

140441401056 is a gapful number since it is divisible by the number (16) 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 140441401056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218858407488).

140441401056 is an abundant number, since it is smaller than the sum of its proper divisors (297275413920).

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

140441401056 is a wasteful number, since it uses less digits than its factorization.

140441401056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 667 (or 617 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

Adding to 140441401056 its reverse (650104144041), we get a palindrome (790545545097).

The spelling of 140441401056 in words is "one hundred forty billion, four hundred forty-one million, four hundred one thousand, fifty-six".