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41287876390013 = 1131550012201393
BaseRepresentation
bin10010110001101000101010…
…01101001010110001111101
312102012002020002120021011112
421120310111031022301331
520402430032323440023
6223451215532531405
711460644031533411
oct1130642515126175
9172162202507145
1041287876390013
11121790a9938680
124769a4a320b65
131a06578a3b286
14a2a4b586ad41
154b8ed4606478
hex258d1534ac7d

41287876390013 has 16 divisors (see below), whose sum is σ = 46495131950592. Its totient is φ = 36322968000000.

The previous prime is 41287876389973. The next prime is 41287876390031. The reversal of 41287876390013 is 31009367878214.

It is a happy number.

41287876390013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 41287876390013 - 228 = 41287607954557 is a prime.

It is a super-2 number, since 2×412878763900132 (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41287876390073) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17654645 + ... + 19856037.

It is an arithmetic number, because the mean of its divisors is an integer number (2905945746912).

Almost surely, 241287876390013 is an apocalyptic number.

It is an amenable number.

41287876390013 is a deficient number, since it is larger than the sum of its proper divisors (5207255560579).

41287876390013 is a wasteful number, since it uses less digits than its factorization.

41287876390013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2256436.

The product of its (nonzero) digits is 12192768, while the sum is 59.

The spelling of 41287876390013 in words is "forty-one trillion, two hundred eighty-seven billion, eight hundred seventy-six million, three hundred ninety thousand, thirteen".

Divisors: 1 11 31 341 55001 605011 1705031 2201393 18755341 24215323 68243183 750675013 121078816393 1331866980323 3753443308183 41287876390013