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1424311521113 = 134197193349409
BaseRepresentation
bin10100101110011111100…
…101010000111101011001
312001011101201102000210202
4110232133211100331121
5141313442222133423
63010153014551545
7204621524113235
oct24563745207531
95034351360722
101424311521113
114aa0577a39a8
121b005b0685b5
13a4409606020
144cd193775c5
15270b2688728
hex14b9f950f59

1424311521113 has 64 divisors (see below), whose sum is σ = 1604194536000. Its totient is φ = 1256183562240.

The previous prime is 1424311521043. The next prime is 1424311521131. The reversal of 1424311521113 is 3111251134241.

It can be written as a sum of positive squares in 32 ways, for example, as 1081575040144 + 342736480969 = 1039988^2 + 585437^2 .

It is a cyclic number.

It is not a de Polignac number, because 1424311521113 - 218 = 1424311258969 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1424311521013) 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 63 ways as a sum of consecutive naturals, for example, 3482424053 + ... + 3482424461.

It is an arithmetic number, because the mean of its divisors is an integer number (25065539625).

Almost surely, 21424311521113 is an apocalyptic number.

1424311521113 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1424311521113 is a deficient number, since it is larger than the sum of its proper divisors (179883014887).

1424311521113 is a wasteful number, since it uses less digits than its factorization.

1424311521113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1102.

The product of its digits is 2880, while the sum is 29.

Adding to 1424311521113 its reverse (3111251134241), we get a palindrome (4535562655354).

The spelling of 1424311521113 in words is "one trillion, four hundred twenty-four billion, three hundred eleven million, five hundred twenty-one thousand, one hundred thirteen".

Divisors: 1 13 41 97 193 349 409 533 1261 2509 3977 4537 5317 7913 14309 16769 18721 33853 39673 51701 67357 78937 102869 142741 186017 217997 243373 440089 515749 767561 875641 1026181 1387973 1626593 1855633 2761637 3236417 5852381 6533629 7656889 9978293 13845877 18043649 21145709 27549013 35901281 42073421 76080953 84937177 99539557 179996401 267878789 313932449 358137169 567680957 1129509533 2672254261 3482424257 4081121837 7379852441 14683623929 34739305393 109562424701 1424311521113