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341313413441 = 711133141268271
BaseRepresentation
bin1001111011101111101…
…11010110000101000001
31012121222201101212202212
410331313313112011001
521043002213212231
6420444110551505
733442031101010
oct4756767260501
91177881355685
10341313413441
111218285842a0
1256195208595
1326255034590
141273bd22a77
158d2963542b
hex4f77dd6141

341313413441 has 64 divisors (see below), whose sum is σ = 484589371392. Its totient is φ = 231785280000.

The previous prime is 341313413429. The next prime is 341313413443. The reversal of 341313413441 is 144314313143.

It is a cyclic number.

It is not a de Polignac number, because 341313413441 - 26 = 341313413377 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 341313413398 and 341313413407.

It is not an unprimeable number, because it can be changed into a prime (341313413443) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1138136 + ... + 1406406.

It is an arithmetic number, because the mean of its divisors is an integer number (7571708928).

Almost surely, 2341313413441 is an apocalyptic number.

341313413441 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

It is an amenable number.

341313413441 is a deficient number, since it is larger than the sum of its proper divisors (143275957951).

341313413441 is a wasteful number, since it uses less digits than its factorization.

341313413441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268374.

The product of its digits is 20736, while the sum is 32.

Adding to 341313413441 its reverse (144314313143), we get a palindrome (485627726584).

The spelling of 341313413441 in words is "three hundred forty-one billion, three hundred thirteen million, four hundred thirteen thousand, four hundred forty-one".

Divisors: 1 7 11 13 31 41 77 91 143 217 287 341 403 451 533 1001 1271 2387 2821 3157 3731 4433 5863 8897 13981 16523 31031 41041 97867 115661 181753 268271 1272271 1877897 2950981 3487523 8316401 10999111 20656867 24412661 38362753 58214807 76993777 91480411 108113213 120990221 142988443 268539271 340972441 640362877 756792491 846931547 1000919101 1189245343 1572872873 2386807087 3750696851 4432641733 8324717401 11010110111 26254877957 31028492131 48759059063 341313413441