Search a number
-
+
1444745106 = 23372618951
BaseRepresentation
bin101011000011101…
…0000111110010010
310201200112122201000
41112013100332102
510424323320411
6355205522430
750542062600
oct12607207622
93650478630
101444745106
11681580422
12343a13416
131a041707c
14d9c3c870
1586c82956
hex561d0f92

1444745106 has 96 divisors (see below), whose sum is σ = 3796364160. Its totient is φ = 405972000.

The previous prime is 1444745059. The next prime is 1444745143. The reversal of 1444745106 is 6015474441.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 156931 + ... + 165881.

It is an arithmetic number, because the mean of its divisors is an integer number (39545460).

Almost surely, 21444745106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1444745106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1898182080).

1444745106 is an abundant number, since it is smaller than the sum of its proper divisors (2351619054).

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

1444745106 is a wasteful number, since it uses less digits than its factorization.

1444745106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9037 (or 9024 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 1444745106 is about 38009.8027619192. The cubic root of 1444745106 is about 1130.4822401974.

The spelling of 1444745106 in words is "one billion, four hundred forty-four million, seven hundred forty-five thousand, one hundred six".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 49 54 61 63 98 122 126 147 183 189 294 366 378 427 441 549 854 882 1098 1281 1323 1647 2562 2646 2989 3294 3843 5978 7686 8951 8967 11529 17902 17934 23058 26853 26901 53706 53802 62657 80559 80703 125314 161118 161406 187971 241677 375942 438599 483354 546011 563913 877198 1092022 1127826 1315797 1638033 1691739 2631594 3276066 3383478 3822077 3947391 4914099 7644154 7894782 9828198 11466231 11842173 14742297 22932462 23684346 26754539 29484594 34398693 53509078 68797386 80263617 103196079 160527234 206392158 240790851 481581702 722372553 1444745106