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1444971164 = 2271313928559
BaseRepresentation
bin101011000100000…
…1000001010011100
310201200222010210112
41112020020022130
510424403034124
6355214425152
750544023630
oct12610101234
93650863715
101444971164
1168171524a
12343b021b8
131a0495c30
14d9c9adc0
1586cc990e
hex5620829c

1444971164 has 48 divisors (see below), whose sum is σ = 3134745600. Its totient is φ = 567504576.

The previous prime is 1444971161. The next prime is 1444971167. The reversal of 1444971164 is 4611794441.

It is an interprime number because it is at equal distance from previous prime (1444971161) and next prime (1444971167).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1444971161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36317 + ... + 64875.

It is an arithmetic number, because the mean of its divisors is an integer number (65307200).

Almost surely, 21444971164 is an apocalyptic number.

1444971164 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1444971164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1567372800).

1444971164 is an abundant number, since it is smaller than the sum of its proper divisors (1689774436).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1444971164 is a wasteful number, since it uses less digits than its factorization.

1444971164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28722 (or 28720 counting only the distinct ones).

The product of its digits is 96768, while the sum is 41.

The square root of 1444971164 is about 38012.7763258618. The cubic root of 1444971164 is about 1130.5411989774.

The spelling of 1444971164 in words is "one billion, four hundred forty-four million, nine hundred seventy-one thousand, one hundred sixty-four".

Divisors: 1 2 4 7 13 14 26 28 52 91 139 182 278 364 556 973 1807 1946 3614 3892 7228 12649 25298 28559 50596 57118 114236 199913 371267 399826 742534 799652 1485068 2598869 3969701 5197738 7939402 10395476 15878804 27787907 51606113 55575814 103212226 111151628 206424452 361242791 722485582 1444971164