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14454111145441 = 11101127353290201
BaseRepresentation
bin1101001001010101110000…
…1010010000110111100001
31220011210120212011022201011
43102111130022100313201
53343304004423123231
650424043232540521
73021163230403102
oct322253412206741
956153525138634
1014454111145441
114672a54a184a0
1217553786b1741
1380b02ac9a236
1437d822d683a9
151a0eb80689b1
hexd255c290de1

14454111145441 has 32 divisors (see below), whose sum is σ = 16095150821376. Its totient is φ = 12870950400000.

The previous prime is 14454111145429. The next prime is 14454111145447.

14454111145441 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 14454111145441 - 239 = 13904355331553 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 14454111145394 and 14454111145403.

It is not an unprimeable number, because it can be changed into a prime (14454111145447) 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, 49662141 + ... + 49952341.

It is an arithmetic number, because the mean of its divisors is an integer number (502973463168).

Almost surely, 214454111145441 is an apocalyptic number.

14454111145441 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

14454111145441 is a deficient number, since it is larger than the sum of its proper divisors (1641039675935).

14454111145441 is a wasteful number, since it uses less digits than its factorization.

14454111145441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 290793.

The product of its digits is 102400, while the sum is 40.

The spelling of 14454111145441 in words is "fourteen trillion, four hundred fifty-four billion, one hundred eleven million, one hundred forty-five thousand, four hundred forty-one".

Divisors: 1 11 101 127 353 1111 1397 3883 12827 35653 44831 141097 290201 392183 493141 3192211 4527931 29310301 36855527 49807241 102440953 322413311 405410797 1126850483 3722408227 10346536253 13010001031 40946490497 113811898783 143110011341 1314010104131 14454111145441