Search a number
-
+
1444153452 = 223743735477
BaseRepresentation
bin101011000010100…
…0000100001101100
310201122102121002220
41112011000201230
510424200402302
6355145115340
750534046630
oct12605004154
93648377086
101444153452
11681206955
12343788b50
131a026a991
14d9b26dc0
1586bb74bc
hex5614086c

1444153452 has 96 divisors (see below), whose sum is σ = 3995346432. Its totient is φ = 397426176.

The previous prime is 1444153439. The next prime is 1444153457. The reversal of 1444153452 is 2543514441.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (1444153457) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 260938 + ... + 266414.

It is an arithmetic number, because the mean of its divisors is an integer number (41618192).

Almost surely, 21444153452 is an apocalyptic number.

1444153452 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 1444153452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1997673216).

1444153452 is an abundant number, since it is smaller than the sum of its proper divisors (2551192980).

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

1444153452 is a wasteful number, since it uses less digits than its factorization.

1444153452 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5607 (or 5605 counting only the distinct ones).

The product of its digits is 38400, while the sum is 33.

The square root of 1444153452 is about 38002.0190516241. The cubic root of 1444153452 is about 1130.3279002472.

Adding to 1444153452 its reverse (2543514441), we get a palindrome (3987667893).

The spelling of 1444153452 in words is "one billion, four hundred forty-four million, one hundred fifty-three thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 43 73 84 86 129 146 172 219 258 292 301 438 511 516 602 876 903 1022 1204 1533 1806 2044 3066 3139 3612 5477 6132 6278 9417 10954 12556 16431 18834 21908 21973 32862 37668 38339 43946 65724 65919 76678 87892 115017 131838 153356 230034 235511 263676 399821 460068 471022 706533 799642 942044 1199463 1413066 1599284 1648577 2398926 2798747 2826132 3297154 4797852 4945731 5597494 6594308 8396241 9891462 11194988 16792482 17192303 19782924 33584964 34384606 51576909 68769212 103153818 120346121 206307636 240692242 361038363 481384484 722076726 1444153452