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1024441141113 = 3213311753161123
BaseRepresentation
bin11101110100001010111…
…00110100011101111001
310121221021001202001000200
432322011130310131321
5113241023413003423
62102342144552413
7134004415011135
oct16720534643571
93557231661020
101024441141113
11365510353a75
12146663322709
13757b1aac510
14378244b63c5
151b9ac345d43
hexee85734779

1024441141113 has 48 divisors (see below), whose sum is σ = 1645929352704. Its totient is φ = 609737207040.

The previous prime is 1024441141063. The next prime is 1024441141127. The reversal of 1024441141113 is 3111411444201.

1024441141113 is a `hidden beast` number, since 1 + 0 + 244 + 4 + 1 + 1 + 411 + 1 + 3 = 666.

It is not a de Polignac number, because 1024441141113 - 212 = 1024441137017 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1024441141153) 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 47 ways as a sum of consecutive naturals, for example, 6277570 + ... + 6438692.

It is an arithmetic number, because the mean of its divisors is an integer number (34290194848).

Almost surely, 21024441141113 is an apocalyptic number.

1024441141113 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1024441141113 is a deficient number, since it is larger than the sum of its proper divisors (621488211591).

1024441141113 is a wasteful number, since it uses less digits than its factorization.

1024441141113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162926 (or 162923 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

Adding to 1024441141113 its reverse (3111411444201), we get a palindrome (4135852585314).

The spelling of 1024441141113 in words is "one trillion, twenty-four billion, four hundred forty-one million, one hundred forty-one thousand, one hundred thirteen".

Divisors: 1 3 9 13 31 39 93 117 279 403 1209 1753 3627 5259 15777 22789 54343 68367 161123 163029 205101 483369 489087 706459 1450107 2094599 2119377 4994813 6283797 6358131 14984439 18851391 44953317 64932569 194797707 282448619 584393121 847345857 2542037571 3671832047 8755907189 11015496141 26267721567 33046488423 78803164701 113826793457 341480380371 1024441141113