Search a number
-
+
1444080456 = 2332713220403
BaseRepresentation
bin101011000010010…
…1110101101001000
310201122021212222100
41112010232231020
510424141033311
6355143353400
750533324050
oct12604565510
93648255870
101444080456
11681167025
12343752860
131a02436a0
14d9b08560
1586ba0a56
hex5612eb48

1444080456 has 96 divisors (see below), whose sum is σ = 4813623360. Its totient is φ = 380854656.

The previous prime is 1444080361. The next prime is 1444080457. The reversal of 1444080456 is 6540804441.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 1444080456.

It is not an unprimeable number, because it can be changed into a prime (1444080457) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 103650 + ... + 116753.

It is an arithmetic number, because the mean of its divisors is an integer number (50141910).

Almost surely, 21444080456 is an apocalyptic number.

It is an amenable number.

1444080456 is an abundant number, since it is smaller than the sum of its proper divisors (3369542904).

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

1444080456 is a wasteful number, since it uses less digits than its factorization.

1444080456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220435 (or 220428 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The square root of 1444080456 is about 38001.0586168333. The cubic root of 1444080456 is about 1130.3088554553.

Adding to 1444080456 its reverse (6540804441), we get a palindrome (7984884897).

The spelling of 1444080456 in words is "one billion, four hundred forty-four million, eighty thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 18 21 24 26 28 36 39 42 52 56 63 72 78 84 91 104 117 126 156 168 182 234 252 273 312 364 468 504 546 728 819 936 1092 1638 2184 3276 6552 220403 440806 661209 881612 1322418 1542821 1763224 1983627 2644836 2865239 3085642 3967254 4628463 5289672 5730478 6171284 7934508 8595717 9256926 11460956 12342568 13885389 15869016 17191434 18513852 20056673 22921912 25787151 27770778 34382868 37027704 40113346 51574302 55541556 60170019 68765736 80226692 103148604 111083112 120340038 160453384 180510057 206297208 240680076 361020114 481360152 722040228 1444080456