Search a number
-
+
45314352741 = 3726712133793
BaseRepresentation
bin101010001100111100…
…100010011001100101
311022222000221121221210
4222030330202121211
51220300433241431
632452255502033
73162634433400
oct521474423145
9138860847853
1045314352741
11182438529a9
128947827919
134372095a98
14229c2dad37
1512a3334d46
hexa8cf22665

45314352741 has 48 divisors (see below), whose sum is σ = 71410121664. Its totient is φ = 25479691776.

The previous prime is 45314352739. The next prime is 45314352757. The reversal of 45314352741 is 14725341354.

It is not a de Polignac number, because 45314352741 - 21 = 45314352739 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 45314352741.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45314352761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11944941 + ... + 11948733.

It is an arithmetic number, because the mean of its divisors is an integer number (1487710868).

Almost surely, 245314352741 is an apocalyptic number.

It is an amenable number.

45314352741 is a deficient number, since it is larger than the sum of its proper divisors (26095768923).

45314352741 is a wasteful number, since it uses less digits than its factorization.

45314352741 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5090 (or 5083 counting only the distinct ones).

The product of its digits is 201600, while the sum is 39.

The spelling of 45314352741 in words is "forty-five billion, three hundred fourteen million, three hundred fifty-two thousand, seven hundred forty-one".

Divisors: 1 3 7 21 49 67 147 201 469 1213 1407 3283 3639 3793 8491 9849 11379 25473 26551 59437 79653 81271 178311 185857 243813 254131 557571 568897 762393 1706691 1778917 3982279 4600909 5336751 11946837 12452419 13802727 32206363 37357257 96619089 225444541 308260903 676333623 924782709 2157826321 6473478963 15104784247 45314352741