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1142124411344 = 24722276417583
BaseRepresentation
bin10000100111101011111…
…010110111100111010000
311001012000121120120201212
4100213223322313213100
5122203032322130334
62232403521515252
7145341623213300
oct20475372674720
94035017516655
101142124411344
11400410500794
121654271a2b28
1383918014967
143d3c9c77600
151ea98c22ece
hex109ebeb79d0

1142124411344 has 60 divisors (see below), whose sum is σ = 2585490571584. Its totient is φ = 487325506752.

The previous prime is 1142124411343. The next prime is 1142124411349. The reversal of 1142124411344 is 4431144212411.

It is a self number, because there is not a number n which added to its sum of digits gives 1142124411344.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1142124411343) 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 11 ways as a sum of consecutive naturals, for example, 3030824 + ... + 3386759.

Almost surely, 21142124411344 is an apocalyptic number.

1142124411344 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1142124411344 is an abundant number, since it is smaller than the sum of its proper divisors (1443366160240).

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

1142124411344 is a wasteful number, since it uses less digits than its factorization.

1142124411344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6417832 (or 6417819 counting only the distinct ones).

The product of its digits is 12288, while the sum is 32.

Adding to 1142124411344 its reverse (4431144212411), we get a palindrome (5573268623755).

The spelling of 1142124411344 in words is "one trillion, one hundred forty-two billion, one hundred twenty-four million, four hundred eleven thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 196 227 392 454 784 908 1589 1816 3178 3632 6356 11123 12712 22246 25424 44492 88984 177968 6417583 12835166 25670332 44923081 51340664 89846162 102681328 179692324 314461567 359384648 628923134 718769296 1257846268 1456791341 2515692536 2913582682 5031385072 5827165364 10197539387 11654330728 20395078774 23308661456 40790157548 71382775709 81580315096 142765551418 163160630192 285531102836 571062205672 1142124411344