Search a number
-
+
1444312242 = 23337797907
BaseRepresentation
bin101011000010110…
…0111010010110010
310201122201122221000
41112011213102302
510424220442432
6355152342430
750535310602
oct12605472262
93648648830
101444312242
1168130518a
12343844a16
131a02c5039
14d9b68c02
1586be957c
hex561674b2

1444312242 has 64 divisors (see below), whose sum is σ = 3304103040. Its totient is φ = 467322048.

The previous prime is 1444312229. The next prime is 1444312253. The reversal of 1444312242 is 2422134441.

1444312242 is a `hidden beast` number, since 1 + 4 + 4 + 431 + 224 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1591953 + ... + 1592859.

It is an arithmetic number, because the mean of its divisors is an integer number (51626610).

Almost surely, 21444312242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1444312242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1652051520).

1444312242 is an abundant number, since it is smaller than the sum of its proper divisors (1859790798).

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

1444312242 is a wasteful number, since it uses less digits than its factorization.

1444312242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1752 (or 1746 counting only the distinct ones).

The product of its digits is 6144, while the sum is 27.

The square root of 1444312242 is about 38004.1082252959. The cubic root of 1444312242 is about 1130.3693266365.

Adding to 1444312242 its reverse (2422134441), we get a palindrome (3866446683).

The spelling of 1444312242 in words is "one billion, four hundred forty-four million, three hundred twelve thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 18 27 37 54 74 111 222 333 666 797 907 999 1594 1814 1998 2391 2721 4782 5442 7173 8163 14346 16326 21519 24489 29489 33559 43038 48978 58978 67118 88467 100677 176934 201354 265401 302031 530802 604062 722879 796203 906093 1445758 1592406 1812186 2168637 4337274 6505911 13011822 19517733 26746523 39035466 53493046 80239569 160479138 240718707 481437414 722156121 1444312242