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3444114401 = 721319377691
BaseRepresentation
bin1100110101001001…
…0000001111100001
322220000201010202122
43031102100033201
524023143130101
61325431154025
7151230326600
oct31522201741
98800633678
103444114401
111508127142
12801515915
1342b700320
142495b1a37
1515256d51b
hexcd4903e1

3444114401 has 48 divisors (see below), whose sum is σ = 4665044160. Its totient is φ = 2511492480.

The previous prime is 3444114391. The next prime is 3444114407. The reversal of 3444114401 is 1044114443.

It is not a de Polignac number, because 3444114401 - 218 = 3443852257 is a prime.

It is not an unprimeable number, because it can be changed into a prime (3444114407) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 443966 + ... + 451656.

It is an arithmetic number, because the mean of its divisors is an integer number (97188420).

Almost surely, 23444114401 is an apocalyptic number.

It is an amenable number.

3444114401 is a deficient number, since it is larger than the sum of its proper divisors (1220929759).

3444114401 is a wasteful number, since it uses less digits than its factorization.

3444114401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7774 (or 7767 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 26.

The square root of 3444114401 is about 58686.5776903033. The cubic root of 3444114401 is about 1510.1700612522.

Adding to 3444114401 its reverse (1044114443), we get a palindrome (4488228844).

The spelling of 3444114401 in words is "three billion, four hundred forty-four million, one hundred fourteen thousand, four hundred one".

Divisors: 1 7 13 19 37 49 91 133 247 259 481 637 703 931 1729 1813 3367 4921 7691 9139 12103 23569 34447 53837 63973 99983 146129 284567 376859 447811 699881 1022903 1899677 1991969 3699371 4899167 5406773 7160321 13297739 13943783 25895597 37847411 70288049 93084173 181269179 264931877 492016343 3444114401