Search a number
-
+
45134141544 = 233523217151
BaseRepresentation
bin101010000010001101…
…000101100001101000
311022111110211221200000
4222002031011201220
51214413320012134
632422341143000
73155315605332
oct520215054150
9138443757600
1045134141544
1118161056628
1288b73baa60
134343949a3b
1422823ca452
1512925d8e99
hexa82345868

45134141544 has 48 divisors (see below), whose sum is σ = 126765649920. Its totient is φ = 15044713200.

The previous prime is 45134141543. The next prime is 45134141567. The reversal of 45134141544 is 44514143154.

45134141544 is a `hidden beast` number, since 45 + 1 + 34 + 1 + 41 + 544 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 45134141499 and 45134141508.

It is not an unprimeable number, because it can be changed into a prime (45134141543) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11606632 + ... + 11610519.

It is an arithmetic number, because the mean of its divisors is an integer number (2640951040).

Almost surely, 245134141544 is an apocalyptic number.

It is an amenable number.

45134141544 is an abundant number, since it is smaller than the sum of its proper divisors (81631508376).

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

45134141544 is a wasteful number, since it uses less digits than its factorization.

45134141544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23217172 (or 23217156 counting only the distinct ones).

The product of its digits is 76800, while the sum is 36.

Adding to 45134141544 its reverse (44514143154), we get a palindrome (89648284698).

The spelling of 45134141544 in words is "forty-five billion, one hundred thirty-four million, one hundred forty-one thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 243 324 486 648 972 1944 23217151 46434302 69651453 92868604 139302906 185737208 208954359 278605812 417908718 557211624 626863077 835817436 1253726154 1671634872 1880589231 2507452308 3761178462 5014904616 5641767693 7522356924 11283535386 15044713848 22567070772 45134141544