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1354232144001 = 311173177869711
BaseRepresentation
bin10011101101001110100…
…001101010000010000001
311210110111202200211000010
4103231032201222002001
5134141431412102001
62514043050415133
7166561064203362
oct23551641520201
94713452624003
101354232144001
11482365816710
1219a5617314a9
139a91b8b8989
144978bdbbb69
15253600e88d6
hex13b4e86a081

1354232144001 has 32 divisors (see below), whose sum is σ = 2152941797376. Its totient is φ = 747549216000.

The previous prime is 1354232143987. The next prime is 1354232144021. The reversal of 1354232144001 is 1004412324531.

It is not a de Polignac number, because 1354232144001 - 25 = 1354232143969 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 1354232144001.

It is not an unprimeable number, because it can be changed into a prime (1354232144021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38917465 + ... + 38952246.

It is an arithmetic number, because the mean of its divisors is an integer number (67279431168).

Almost surely, 21354232144001 is an apocalyptic number.

1354232144001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1354232144001 is a deficient number, since it is larger than the sum of its proper divisors (798709653375).

1354232144001 is a wasteful number, since it uses less digits than its factorization.

1354232144001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77869773.

The product of its (nonzero) digits is 11520, while the sum is 30.

Adding to 1354232144001 its reverse (1004412324531), we get a palindrome (2358644468532).

The spelling of 1354232144001 in words is "one trillion, three hundred fifty-four billion, two hundred thirty-two million, one hundred forty-four thousand, one".

Divisors: 1 3 11 17 31 33 51 93 187 341 527 561 1023 1581 5797 17391 77869711 233609133 856566821 1323785087 2413961041 2569700463 3971355261 7241883123 14561635957 26553571451 41037337697 43684907871 79660714353 123112013091 451410714667 1354232144001