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1444324002 = 23113832179
BaseRepresentation
bin101011000010110…
…1010001010100010
310201122202021001120
41112011222022202
510424221332002
6355152513110
750535360102
oct12605521242
93648667046
101444324002
11681313000
1234384b796
131a02ca4b4
14d9b6d202
1586beccbc
hex5616a2a2

1444324002 has 64 divisors (see below), whose sum is σ = 3217052160. Its totient is φ = 432202320.

The previous prime is 1444324001. The next prime is 1444324003. The reversal of 1444324002 is 2004234441.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1444324001) and next prime (1444324003).

It is not an unprimeable number, because it can be changed into a prime (1444324001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 661749 + ... + 663927.

It is an arithmetic number, because the mean of its divisors is an integer number (50266440).

Almost surely, 21444324002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1444324002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1608526080).

1444324002 is an abundant number, since it is smaller than the sum of its proper divisors (1772728158).

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

1444324002 is a wasteful number, since it uses less digits than its factorization.

1444324002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2300 (or 2278 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 1444324002 is about 38004.2629450960. The cubic root of 1444324002 is about 1130.3723945574.

Adding to 1444324002 its reverse (2004234441), we get a palindrome (3448558443).

The spelling of 1444324002 in words is "one billion, four hundred forty-four million, three hundred twenty-four thousand, two".

Divisors: 1 2 3 6 11 22 33 66 83 121 166 242 249 363 498 726 913 1331 1826 2179 2662 2739 3993 4358 5478 6537 7986 10043 13074 20086 23969 30129 47938 60258 71907 110473 143814 180857 220946 263659 331419 361714 527318 542571 662838 790977 1085142 1581954 1989427 2900249 3978854 5800498 5968281 8700747 11936562 17401494 21883697 43767394 65651091 131302182 240720667 481441334 722162001 1444324002