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14453411435441 = 1117112368825441
BaseRepresentation
bin1101001001010011001001…
…1101000101001110110001
31220011201210002112101000222
43102110302131011032301
53343301041311413231
650423445555422425
73021140003100206
oct322246235051661
956151702471028
1014453411435441
114672725a56a70
1217552022b4a15
1380ac4902cb54
1437d798067cad
151a0e7690227b
hexd25327453b1

14453411435441 has 16 divisors (see below), whose sum is σ = 16709716110528. Its totient is φ = 12355542988800.

The previous prime is 14453411435429. The next prime is 14453411435459.

14453411435441 is nontrivially palindromic in base 10.

It is a de Polignac number, because none of the positive numbers 2k-14453411435441 is a prime.

It is a super-2 number, since 2×144534114354412 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 14453411435392 and 14453411435401.

It is not an unprimeable number, because it can be changed into a prime (14453411435641) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34202720 + ... + 34622721.

It is an arithmetic number, because the mean of its divisors is an integer number (1044357256908).

Almost surely, 214453411435441 is an apocalyptic number.

14453411435441 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

14453411435441 is a deficient number, since it is larger than the sum of its proper divisors (2256304675087).

14453411435441 is a wasteful number, since it uses less digits than its factorization.

14453411435441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68826592.

The product of its digits is 921600, while the sum is 44.

The spelling of 14453411435441 in words is "fourteen trillion, four hundred fifty-three billion, four hundred eleven million, four hundred thirty-five thousand, four hundred forty-one".

Divisors: 1 11 17 187 1123 12353 19091 210001 68825441 757079851 1170032497 12870357467 77290970243 850200672673 1313946494131 14453411435441