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13143344405135 = 572341398222827
BaseRepresentation
bin1011111101000010110001…
…0111111101101010001111
31201112111021021021210101112
42333100230113331222033
53210320032131431020
643541545152402235
72524401220056110
oct277205427755217
951474237253345
1013143344405135
1142080742a7a1a
12158332754637b
137445483a9359
143361d98ac207
1517bd4dccd2c5
hexbf42c5fda8f

13143344405135 has 32 divisors (see below), whose sum is σ = 19267613309952. Its totient is φ = 8410466085120.

The previous prime is 13143344405117. The next prime is 13143344405207. The reversal of 13143344405135 is 53150444334131.

It is a de Polignac number, because none of the positive numbers 2k-13143344405135 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is a junction number, because it is equal to n+sod(n) for n = 13143344405092 and 13143344405101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 199078409 + ... + 199144418.

It is an arithmetic number, because the mean of its divisors is an integer number (602112915936).

Almost surely, 213143344405135 is an apocalyptic number.

13143344405135 is a deficient number, since it is larger than the sum of its proper divisors (6124268904817).

13143344405135 is a wasteful number, since it uses less digits than its factorization.

13143344405135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 398222903.

The product of its (nonzero) digits is 518400, while the sum is 41.

Adding to 13143344405135 its reverse (53150444334131), we get a palindrome (66293788739266).

The spelling of 13143344405135 in words is "thirteen trillion, one hundred forty-three billion, three hundred forty-four million, four hundred five thousand, one hundred thirty-five".

Divisors: 1 5 7 23 35 41 115 161 205 287 805 943 1435 4715 6601 33005 398222827 1991114135 2787559789 9159125021 13937798945 16327135907 45795625105 64113875147 81635679535 114289951349 320569375735 375524125861 571449756745 1877620629305 2628668881027 13143344405135