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344013034120441 = 7972378572130047
BaseRepresentation
bin100111000111000001100011…
…0101100100110010011111001
31200010001022202211120020000021
41032032003012230212103321
5330042302143213323231
63215353223421010441
7132314056452664120
oct11616030654462371
91603038684506007
10344013034120441
119a6821213a5824
12327000450b3a21
13119c539cc552ba
1460d446933cab7
1529b887d977811
hex138e0c6b264f9

344013034120441 has 16 divisors (see below), whose sum is σ = 397212782432256. Its totient is φ = 291827071512576.

The previous prime is 344013034120439. The next prime is 344013034120447. The reversal of 344013034120441 is 144021430310443.

It is a cyclic number.

It is not a de Polignac number, because 344013034120441 - 21 = 344013034120439 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 344013034120397 and 344013034120406.

It is not an unprimeable number, because it can be changed into a prime (344013034120447) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 160439880 + ... + 162569926.

It is an arithmetic number, because the mean of its divisors is an integer number (24825798902016).

Almost surely, 2344013034120441 is an apocalyptic number.

It is an amenable number.

344013034120441 is a deficient number, since it is larger than the sum of its proper divisors (53199748311815).

344013034120441 is a wasteful number, since it uses less digits than its factorization.

344013034120441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2368008.

The product of its (nonzero) digits is 55296, while the sum is 34.

Adding to 344013034120441 its reverse (144021430310443), we get a palindrome (488034464430884).

The spelling of 344013034120441 in words is "three hundred forty-four trillion, thirteen billion, thirty-four million, one hundred twenty thousand, four hundred forty-one".

Divisors: 1 7 97 679 237857 1664999 2130047 14910329 23072129 161504903 206614559 1446301913 506646589279 3546526124953 49144719160063 344013034120441