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14918344381941 = 3711134967813647
BaseRepresentation
bin1101100100010111001010…
…0111100001010111110101
31221211011212001220012020020
43121011302213201113311
53423410232130210231
651421220502155353
73066546323661150
oct331056247412765
957734761805206
1014918344381941
11483191a535110
12180b337422b59
13842a420aa610
143980a1cc8c97
151ad0d8b5c396
hexd91729e15f5

14918344381941 has 32 divisors (see below), whose sum is σ = 26706966171648. Its totient is φ = 7153651650240.

The previous prime is 14918344381921. The next prime is 14918344381991.

It is a happy number.

14918344381941 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 14918344381941 - 215 = 14918344349173 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14918344381921) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2483903821 + ... + 2483909826.

It is an arithmetic number, because the mean of its divisors is an integer number (834592692864).

Almost surely, 214918344381941 is an apocalyptic number.

14918344381941 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

14918344381941 is a deficient number, since it is larger than the sum of its proper divisors (11788621789707).

14918344381941 is a wasteful number, since it uses less digits than its factorization.

14918344381941 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4967813681.

The product of its digits is 11943936, while the sum is 60.

The spelling of 14918344381941 in words is "fourteen trillion, nine hundred eighteen billion, three hundred forty-four million, three hundred eighty-one thousand, nine hundred forty-one".

Divisors: 1 3 7 11 13 21 33 39 77 91 143 231 273 429 1001 3003 4967813647 14903440941 34774695529 54645950117 64581577411 104324086587 163937850351 193744732233 382521650819 452071041877 710397351521 1147564952457 1356213125631 2131192054563 4972781460647 14918344381941