Search a number
-
+
1140311132319 = 33731782757163
BaseRepresentation
bin10000100101111111110…
…101110000100010011111
311001000100020120110112110
4100211333311300202133
5122140324122213234
62231503545005103
7145245654461442
oct20457765604237
94030306513473
101140311132319
113aa66a9a7387
12164bbba83793
13836b94556a8
143d297105659
151e9de9451e9
hex1097fd7089f

1140311132319 has 16 divisors (see below), whose sum is σ = 1524603208832. Its totient is φ = 758113540128.

The previous prime is 1140311132297. The next prime is 1140311132377. The reversal of 1140311132319 is 9132311130411.

It is not a de Polignac number, because 1140311132319 - 28 = 1140311132063 is a prime.

It is a super-2 number, since 2×11403111323192 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1140311130319) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 19919832 + ... + 19976994.

It is an arithmetic number, because the mean of its divisors is an integer number (95287700552).

Almost surely, 21140311132319 is an apocalyptic number.

1140311132319 is a deficient number, since it is larger than the sum of its proper divisors (384292076513).

1140311132319 is a wasteful number, since it uses less digits than its factorization.

1140311132319 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75366.

The product of its (nonzero) digits is 1944, while the sum is 30.

The spelling of 1140311132319 in words is "one trillion, one hundred forty billion, three hundred eleven million, one hundred thirty-two thousand, three hundred nineteen".

Divisors: 1 3 373 1119 17827 53481 57163 171489 6649471 19948413 21321799 63965397 1019044801 3057134403 380103710773 1140311132319