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1444126971 = 37231316903
BaseRepresentation
bin101011000010011…
…1010000011111011
310201122101020210010
41112010322003323
510424144030341
6355144353003
750533606500
oct12604720373
93648336703
101444126971
11681198a71
12343775763
131a025b901
14d9b1b4a7
1586bae716
hex5613a0fb

1444126971 has 24 divisors (see below), whose sum is σ = 2312131584. Its totient is φ = 798593040.

The previous prime is 1444126933. The next prime is 1444127039. The reversal of 1444126971 is 1796214441.

1444126971 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 1444126971 - 215 = 1444094203 is a prime.

It is a super-3 number, since 3×14441269713 (a number of 28 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (1444126471) 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, 153895 + ... + 163008.

It is an arithmetic number, because the mean of its divisors is an integer number (96338816).

Almost surely, 21444126971 is an apocalyptic number.

1444126971 is a deficient number, since it is larger than the sum of its proper divisors (868004613).

1444126971 is a wasteful number, since it uses less digits than its factorization.

1444126971 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316951 (or 316944 counting only the distinct ones).

The product of its digits is 48384, while the sum is 39.

The square root of 1444126971 is about 38001.6706343287. The cubic root of 1444126971 is about 1130.3209913793.

The spelling of 1444126971 in words is "one billion, four hundred forty-four million, one hundred twenty-six thousand, nine hundred seventy-one".

Divisors: 1 3 7 21 31 49 93 147 217 651 1519 4557 316903 950709 2218321 6654963 9823993 15528247 29471979 46584741 68767951 206303853 481375657 1444126971