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1311440140144 = 24233796316109
BaseRepresentation
bin10011000101010111111…
…011000111011101110000
311122101001111222210020101
4103011113323013131300
5132441312133441034
62442244533322144
7163514465156551
oct23052773073560
94571044883211
101311440140144
114661a6851872
121921ba796354
139688c278934
144768caac328
15241a8456514
hex13157ec7770

1311440140144 has 40 divisors (see below), whose sum is σ = 2723049061920. Its totient is φ = 610258860288.

The previous prime is 1311440140133. The next prime is 1311440140159. The reversal of 1311440140144 is 4410410441131.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 48144439 + ... + 48171670.

It is an arithmetic number, because the mean of its divisors is an integer number (68076226548).

Almost surely, 21311440140144 is an apocalyptic number.

It is an amenable number.

1311440140144 is an abundant number, since it is smaller than the sum of its proper divisors (1411608921776).

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

1311440140144 is a wasteful number, since it uses less digits than its factorization.

1311440140144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96316177 (or 96316171 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

Adding to 1311440140144 its reverse (4410410441131), we get a palindrome (5721850581275).

The spelling of 1311440140144 in words is "one trillion, three hundred eleven billion, four hundred forty million, one hundred forty thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 23 37 46 74 92 148 184 296 368 592 851 1702 3404 6808 13616 96316109 192632218 385264436 770528872 1541057744 2215270507 3563696033 4430541014 7127392066 8861082028 14254784132 17722164056 28509568264 35444328112 57019136528 81965008759 163930017518 327860035036 655720070072 1311440140144