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1344107410041 = 3111371423208927
BaseRepresentation
bin10011100011110011000…
…010110111001001111001
311202111101011020001001110
4103203303002313021321
5134010212444110131
62505250250310533
7166052143322514
oct23436302671171
94674334201043
101344107410041
1147903a657190
121985b6a28449
1399997107936
14490ab469d7b
1524e6b2ec646
hex138f30b7279

1344107410041 has 32 divisors (see below), whose sum is σ = 1970729238528. Its totient is φ = 808092339840.

The previous prime is 1344107410021. The next prime is 1344107410159. The reversal of 1344107410041 is 1400147014431.

It is not a de Polignac number, because 1344107410041 - 215 = 1344107377273 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1344107409990 and 1344107410008.

It is not an unprimeable number, because it can be changed into a prime (1344107410021) 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, 6328920 + ... + 6537846.

It is an arithmetic number, because the mean of its divisors is an integer number (61585288704).

Almost surely, 21344107410041 is an apocalyptic number.

1344107410041 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1344107410041 is a deficient number, since it is larger than the sum of its proper divisors (626621828487).

1344107410041 is a wasteful number, since it uses less digits than its factorization.

1344107410041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210501.

The product of its (nonzero) digits is 5376, while the sum is 30.

The spelling of 1344107410041 in words is "one trillion, three hundred forty-four billion, one hundred seven million, four hundred ten thousand, forty-one".

Divisors: 1 3 11 33 137 411 1423 1507 4269 4521 15653 46959 194951 208927 584853 626781 2144461 2298197 6433383 6894591 28622999 85868997 297303121 314852989 891909363 944558967 3270334331 9811002993 40730527577 122191582731 448035803347 1344107410041