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1140341114120 = 235132329742737
BaseRepresentation
bin10000100110000001101…
…000001000010100001000
311001000102022222200211112
4100212001220020110020
5122140404311122440
62231510535345452
7145246500353105
oct20460150102410
94030368880745
101140341114120
113aa68591512a
12165009b22288
13836c27222c0
143d29b0abaac
151e9e23b8965
hex10981a08508

1140341114120 has 192 divisors, whose sum is σ = 2918340396720. Its totient is φ = 398581235712.

The previous prime is 1140341114057. The next prime is 1140341114149. The reversal of 1140341114120 is 214111430411.

It can be written as a sum of positive squares in 8 ways, for example, as 376384704004 + 763956410116 = 613502^2 + 874046^2 .

It is a Harshad number since it is a multiple of its sum of digits (23).

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 47 ways as a sum of consecutive naturals, for example, 26661392 + ... + 26704128.

Almost surely, 21140341114120 is an apocalyptic number.

1140341114120 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 1140341114120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1459170198360).

1140341114120 is an abundant number, since it is smaller than the sum of its proper divisors (1777999282600).

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

1140341114120 is a wasteful number, since it uses less digits than its factorization.

1140341114120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42904 (or 42877 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 23.

Adding to 1140341114120 its reverse (214111430411), we get a palindrome (1354452544531).

The spelling of 1140341114120 in words is "one trillion, one hundred forty billion, three hundred forty-one million, one hundred fourteen thousand, one hundred twenty".