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13143042114041 = 7431271991727717
BaseRepresentation
bin1011111101000001101001…
…0110110100000111111001
31201112110111012110210222002
42333100122112310013321
53210313422240122131
643541455153310345
72524360556455010
oct277203226640771
951473435423862
1013143042114041
114207a296a9174
1215832622653b5
137444ca888798
143361ab69da77
1517bd324ba6cb
hexbf41a5b41f9

13143042114041 has 32 divisors (see below), whose sum is σ = 15568812441600. Its totient is φ = 10861970809536.

The previous prime is 13143042113969. The next prime is 13143042114061. The reversal of 13143042114041 is 14041124034131.

It is a happy number.

It is a de Polignac number, because none of the positive numbers 2k-13143042114041 is a prime.

It is a super-2 number, since 2×131430421140412 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13143042113995 and 13143042114013.

It is not an unprimeable number, because it can be changed into a prime (13143042114061) 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, 6743315 + ... + 8471031.

It is an arithmetic number, because the mean of its divisors is an integer number (486525388800).

Almost surely, 213143042114041 is an apocalyptic number.

It is an amenable number.

13143042114041 is a deficient number, since it is larger than the sum of its proper divisors (2425770327559).

13143042114041 is a wasteful number, since it uses less digits than its factorization.

13143042114041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1728093.

The product of its (nonzero) digits is 4608, while the sum is 29.

Adding to 13143042114041 its reverse (14041124034131), we get a palindrome (27184166148172).

The spelling of 13143042114041 in words is "thirteen trillion, one hundred forty-three billion, forty-two million, one hundred fourteen thousand, forty-one".

Divisors: 1 7 43 127 199 301 889 1393 5461 8557 25273 38227 59899 176911 1086739 1727717 7607173 12094019 74291831 219420059 343815683 520042817 1535940413 2406709781 9435062537 14784074369 43664591741 66045437759 103488520583 305652142187 1877577444863 13143042114041