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1304444141 = 721113186163
BaseRepresentation
bin100110111000000…
…0011110011101101
310100220112121221222
41031300003303231
510132414203031
6333234433125
744216410100
oct11560036355
93326477858
101304444141
1160a363210
12304a327a5
1317a332a50
14c535a737
15797bbe7b
hex4dc03ced

1304444141 has 24 divisors (see below), whose sum is σ = 1782706464. Its totient is φ = 938256480.

The previous prime is 1304444131. The next prime is 1304444147. The reversal of 1304444141 is 1414444031.

It is a de Polignac number, because none of the positive numbers 2k-1304444141 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1304444141.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1304444147) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 86075 + ... + 100088.

It is an arithmetic number, because the mean of its divisors is an integer number (74279436).

Almost surely, 21304444141 is an apocalyptic number.

1304444141 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1304444141 is a deficient number, since it is larger than the sum of its proper divisors (478262323).

1304444141 is a wasteful number, since it uses less digits than its factorization.

1304444141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186201 (or 186194 counting only the distinct ones).

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

The square root of 1304444141 is about 36117.0893207080. The cubic root of 1304444141 is about 1092.6351362143.

Adding to 1304444141 its reverse (1414444031), we get a palindrome (2718888172).

The spelling of 1304444141 in words is "one billion, three hundred four million, four hundred forty-four thousand, one hundred forty-one".

Divisors: 1 7 11 13 49 77 91 143 539 637 1001 7007 186163 1303141 2047793 2420119 9121987 14334551 16940833 26621309 100341857 118585831 186349163 1304444141