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1444034112 = 26326328597
BaseRepresentation
bin101011000010010…
…0011011001000000
310201122012112101220
41112010203121000
510424133042422
6355142355040
750533041663
oct12604433100
93648175356
101444034112
11681135224
1234372ba80
131a0228571
14d9ad56da
1586b91e5c
hex56123640

1444034112 has 56 divisors (see below), whose sum is σ = 3835334976. Its totient is φ = 479497728.

The previous prime is 1444034101. The next prime is 1444034153. The reversal of 1444034112 is 2114304441.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 36198 + ... + 64794.

Almost surely, 21444034112 is an apocalyptic number.

1444034112 is a gapful number since it is divisible by the number (12) 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 1444034112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1917667488).

1444034112 is an abundant number, since it is smaller than the sum of its proper divisors (2391300864).

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

1444034112 is a wasteful number, since it uses less digits than its factorization.

1444034112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28875 (or 28865 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 1444034112 is about 38000.4488394545. The cubic root of 1444034112 is about 1130.2967638867.

Adding to 1444034112 its reverse (2114304441), we get a palindrome (3558338553).

The spelling of 1444034112 in words is "one billion, four hundred forty-four million, thirty-four thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 263 526 789 1052 1578 2104 3156 4208 6312 8416 12624 16832 25248 28597 50496 57194 85791 114388 171582 228776 343164 457552 686328 915104 1372656 1830208 2745312 5490624 7521011 15042022 22563033 30084044 45126066 60168088 90252132 120336176 180504264 240672352 361008528 481344704 722017056 1444034112