Search a number
-
+
443146365144 = 233276661132001
BaseRepresentation
bin1100111001011011001…
…01001110100011011000
31120100211122001211001200
412130231211032203120
524230030432141034
6535324552314200
744005402645020
oct6345545164330
91510748054050
10443146365144
11160a3463010a
1271a749a2960
1332a33500712
141763c596a80
15b7d9736a99
hex672d94e8d8

443146365144 has 96 divisors (see below), whose sum is σ = 1371859825440. Its totient is φ = 126593280000.

The previous prime is 443146365143. The next prime is 443146365161. The reversal of 443146365144 is 441563641344.

443146365144 is a `hidden beast` number, since 4 + 4 + 3 + 1 + 4 + 636 + 5 + 1 + 4 + 4 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 443146365144.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (443146365143) 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, 3291144 + ... + 3423144.

It is an arithmetic number, because the mean of its divisors is an integer number (14290206515).

Almost surely, 2443146365144 is an apocalyptic number.

It is an amenable number.

443146365144 is an abundant number, since it is smaller than the sum of its proper divisors (928713460296).

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

443146365144 is a wasteful number, since it uses less digits than its factorization.

443146365144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138681 (or 138674 counting only the distinct ones).

The product of its digits is 1658880, while the sum is 45.

The spelling of 443146365144 in words is "four hundred forty-three billion, one hundred forty-six million, three hundred sixty-five thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 504 6661 13322 19983 26644 39966 46627 53288 59949 79932 93254 119898 132001 139881 159864 186508 239796 264002 279762 373016 396003 419643 479592 528004 559524 792006 839286 924007 1056008 1119048 1188009 1584012 1678572 1848014 2376018 2772021 3168024 3357144 3696028 4752036 5544042 7392056 8316063 9504072 11088084 16632126 22176168 33264252 66528504 879258661 1758517322 2637775983 3517034644 5275551966 6154810627 7034069288 7913327949 10551103932 12309621254 15826655898 18464431881 21102207864 24619242508 31653311796 36928863762 49238485016 55393295643 63306623592 73857727524 110786591286 147715455048 221573182572 443146365144