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14435711753441 = 112119303402921
BaseRepresentation
bin1101001000010001001101…
…1110001001110011100001
31220010001002120110100212012
43102010103132021303201
53343003314202102231
650411401402042305
73016642252220606
oct322042336116341
956101076410765
1014435711753441
114666172a45a00
1217518a27a9395
138093880ac034
1437c9994946ad
151a078cabbe2b
hexd2113789ce1

14435711753441 has 6 divisors (see below), whose sum is σ = 15867352588626. Its totient is φ = 13123374321200.

The previous prime is 14435711753413. The next prime is 14435711753461.

14435711753441 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in only one way, i.e., 11134934979025 + 3300776774416 = 3336905^2 + 1816804^2 .

It is not a de Polignac number, because 14435711753441 - 222 = 14435707559137 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 14435711753441.

It is not an unprimeable number, because it can be changed into a prime (14435711753461) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 59651701340 + ... + 59651701581.

It is an arithmetic number, because the mean of its divisors is an integer number (2644558764771).

Almost surely, 214435711753441 is an apocalyptic number.

14435711753441 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

14435711753441 is a deficient number, since it is larger than the sum of its proper divisors (1431640835185).

14435711753441 is a wasteful number, since it uses less digits than its factorization.

14435711753441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119303402943 (or 119303402932 counting only the distinct ones).

The product of its digits is 2822400, while the sum is 50.

The spelling of 14435711753441 in words is "fourteen trillion, four hundred thirty-five billion, seven hundred eleven million, seven hundred fifty-three thousand, four hundred forty-one".

Divisors: 1 11 121 119303402921 1312337432131 14435711753441