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1444425144 = 233198935591
BaseRepresentation
bin101011000011000…
…0010110110111000
310201122221101210120
41112012002312320
510424233101034
6355155013240
750536261011
oct12606026670
93648841716
101444425144
11681381a98
1234389a220
131a0334546
14d9b98008
1586c1cc49
hex56182db8

1444425144 has 64 divisors (see below), whose sum is σ = 3843936000. Its totient is φ = 450996480.

The previous prime is 1444425137. The next prime is 1444425149. The reversal of 1444425144 is 4415244441.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1444425149) 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, 22789 + ... + 58379.

It is an arithmetic number, because the mean of its divisors is an integer number (60061500).

Almost surely, 21444425144 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 1444425144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1921968000).

1444425144 is an abundant number, since it is smaller than the sum of its proper divisors (2399510856).

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

1444425144 is a wasteful number, since it uses less digits than its factorization.

1444425144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35708 (or 35704 counting only the distinct ones).

The product of its digits is 40960, while the sum is 33.

The square root of 1444425144 is about 38005.5935883128. The cubic root of 1444425144 is about 1130.3987795550.

Adding to 1444425144 its reverse (4415244441), we get a palindrome (5859669585).

The spelling of 1444425144 in words is "one billion, four hundred forty-four million, four hundred twenty-five thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 76 89 114 152 178 228 267 356 456 534 712 1068 1691 2136 3382 5073 6764 10146 13528 20292 35591 40584 71182 106773 142364 213546 284728 427092 676229 854184 1352458 2028687 2704916 3167599 4057374 5409832 6335198 8114748 9502797 12670396 16229496 19005594 25340792 38011188 60184381 76022376 120368762 180553143 240737524 361106286 481475048 722212572 1444425144