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10344316643441 = 116725769077907
BaseRepresentation
bin1001011010000111100101…
…0100011010100001110001
31100121220111012202000122222
42112201321110122201301
52323440130030042231
634000040301410425
72115231544463024
oct226417124324161
940556435660588
1010344316643441
113329000084480
1211b096a869a15
135a0607435571
1427a94bc591bb
1512e12d05927b
hex9687951a871

10344316643441 has 32 divisors (see below), whose sum is σ = 11500821268992. Its totient is φ = 9225019330560.

The previous prime is 10344316643413. The next prime is 10344316643449. The reversal of 10344316643441 is 14434661344301.

It is not a de Polignac number, because 10344316643441 - 210 = 10344316642417 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10344316643392 and 10344316643401.

It is not an unprimeable number, because it can be changed into a prime (10344316643449) 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, 1308244010 + ... + 1308251916.

It is an arithmetic number, because the mean of its divisors is an integer number (359400664656).

Almost surely, 210344316643441 is an apocalyptic number.

10344316643441 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10344316643441 is a deficient number, since it is larger than the sum of its proper divisors (1156504625551).

10344316643441 is a wasteful number, since it uses less digits than its factorization.

10344316643441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15149.

The product of its (nonzero) digits is 995328, while the sum is 44.

Adding to 10344316643441 its reverse (14434661344301), we get a palindrome (24778977987742).

The spelling of 10344316643441 in words is "ten trillion, three hundred forty-four billion, three hundred sixteen million, six hundred forty-three thousand, four hundred forty-one".

Divisors: 1 11 67 257 737 2827 6907 7907 17219 75977 86977 189409 462769 529769 1775099 2032099 5090459 5827459 19526089 22353089 54613649 118931633 136150633 600750139 1308247963 1497656963 3659114483 14035707793 40250259313 154392785723 940392422131 10344316643441