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2140400311 = 72157278227
BaseRepresentation
bin111111110010011…
…1110101010110111
312112011112121020121
41333210332222313
513340420302221
6552220112411
7104020050100
oct17744765267
95464477217
102140400311
119a9222485
124b8995707
1328159497a
141643a53a7
15c7d97a41
hex7f93eab7

2140400311 has 12 divisors (see below), whose sum is σ = 2505721368. Its totient is φ = 1822936752.

The previous prime is 2140400299. The next prime is 2140400357. The reversal of 2140400311 is 1130040412.

It is not a de Polignac number, because 2140400311 - 25 = 2140400279 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2140400371) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 131421 + ... + 146806.

It is an arithmetic number, because the mean of its divisors is an integer number (208810114).

Almost surely, 22140400311 is an apocalyptic number.

2140400311 is a deficient number, since it is larger than the sum of its proper divisors (365321057).

2140400311 is a wasteful number, since it uses less digits than its factorization.

2140400311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278398 (or 278391 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 2140400311 is about 46264.4605609965. The cubic root of 2140400311 is about 1288.7390902223.

Adding to 2140400311 its reverse (1130040412), we get a palindrome (3270440723).

The spelling of 2140400311 in words is "two billion, one hundred forty million, four hundred thousand, three hundred eleven".

Divisors: 1 7 49 157 1099 7693 278227 1947589 13633123 43681639 305771473 2140400311