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1444079688 = 233177614651
BaseRepresentation
bin101011000010010…
…1110100001001000
310201122021211220220
41112010232201020
510424141022223
6355143350040
750533321602
oct12604564110
93648254826
101444079688
11681166497
12343752320
131a024322c
14d9b08172
1586ba06e3
hex5612e848

1444079688 has 64 divisors (see below), whose sum is σ = 3828409920. Its totient is φ = 452352000.

The previous prime is 1444079687. The next prime is 1444079713. The reversal of 1444079688 is 8869704441.

It is a super-2 number, since 2×14440796882 = 4170732290588354688, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a self number, because there is not a number n which added to its sum of digits gives 1444079688.

It is not an unprimeable number, because it can be changed into a prime (1444079683) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 308163 + ... + 312813.

It is an arithmetic number, because the mean of its divisors is an integer number (59818905).

Almost surely, 21444079688 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1444079688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1914204960).

1444079688 is an abundant number, since it is smaller than the sum of its proper divisors (2384330232).

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

1444079688 is a wasteful number, since it uses less digits than its factorization.

1444079688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5438 (or 5434 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 51.

The square root of 1444079688 is about 38001.0485118503. The cubic root of 1444079688 is about 1130.3086550793.

The spelling of 1444079688 in words is "one billion, four hundred forty-four million, seventy-nine thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 102 136 204 408 761 1522 2283 3044 4566 4651 6088 9132 9302 12937 13953 18264 18604 25874 27906 37208 38811 51748 55812 77622 79067 103496 111624 155244 158134 237201 310488 316268 474402 632536 948804 1897608 3539411 7078822 10618233 14157644 21236466 28315288 42472932 60169987 84945864 120339974 180509961 240679948 361019922 481359896 722039844 1444079688