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1444764664 = 237113229997
BaseRepresentation
bin101011000011101…
…0101101111111000
310201200120122112101
41112013111233320
510424324432124
6355210153144
750542203610
oct12607255770
93650518471
101444764664
11681594092
12343a227b4
131a0422c45
14d9c45a40
1586c88644
hex561d5bf8

1444764664 has 64 divisors (see below), whose sum is σ = 3140107200. Its totient is φ = 610412544.

The previous prime is 1444764637. The next prime is 1444764691. The reversal of 1444764664 is 4664674441.

It is an interprime number because it is at equal distance from previous prime (1444764637) and next prime (1444764691).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1448614 + ... + 1449610.

It is an arithmetic number, because the mean of its divisors is an integer number (49064175).

Almost surely, 21444764664 is an apocalyptic number.

1444764664 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 1444764664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1570053600).

1444764664 is an abundant number, since it is smaller than the sum of its proper divisors (1695342536).

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

1444764664 is a wasteful number, since it uses less digits than its factorization.

1444764664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1352 (or 1348 counting only the distinct ones).

The product of its digits is 1548288, while the sum is 46.

The square root of 1444764664 is about 38010.0600367850. The cubic root of 1444764664 is about 1130.4873414137.

The spelling of 1444764664 in words is "one billion, four hundred forty-four million, seven hundred sixty-four thousand, six hundred sixty-four".

Divisors: 1 2 4 7 8 14 28 56 113 226 229 452 458 791 904 916 997 1582 1603 1832 1994 3164 3206 3988 6328 6412 6979 7976 12824 13958 25877 27916 51754 55832 103508 112661 181139 207016 225322 228313 362278 450644 456626 724556 788627 901288 913252 1449112 1577254 1598191 1826504 3154508 3196382 6309016 6392764 12785528 25799369 51598738 103197476 180595583 206394952 361191166 722382332 1444764664