Search a number
-
+
45344344344354 = 2331126939752731
BaseRepresentation
bin10100100111101100011011…
…00010011000011100100010
312221112212200022200021002000
422103312031202120130202
521420410204123004404
6240234523151104430
712360010060326156
oct1223661542303442
9187485608607060
1045344344344354
11134a2479292100
125104055212116
131c3bc515b7433
14b2a96c51d066
1553979cbc7339
hex293d8d898722

45344344344354 has 48 divisors (see below), whose sum is σ = 110758453602720. Its totient is φ = 13740710405400.

The previous prime is 45344344344323. The next prime is 45344344344367.

45344344344354 is a `hidden beast` number, since 4 + 53 + 44 + 34 + 434 + 43 + 54 = 666.

45344344344354 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×453443443443542 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 45344344344354.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3469869832 + ... + 3469882899.

It is an arithmetic number, because the mean of its divisors is an integer number (2307467783390).

Almost surely, 245344344344354 is an apocalyptic number.

45344344344354 is an abundant number, since it is smaller than the sum of its proper divisors (65414109258366).

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

45344344344354 is a wasteful number, since it uses less digits than its factorization.

45344344344354 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6939752764 (or 6939752747 counting only the distinct ones).

The product of its digits is 132710400, while the sum is 54.

It can be divided in two parts, 4534434 and 4344354, that added together give a palindrome (8878788).

The spelling of 45344344344354 in words is "forty-five trillion, three hundred forty-four billion, three hundred forty-four million, three hundred forty-four thousand, three hundred fifty-four".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 121 198 242 297 363 594 726 1089 2178 3267 6534 6939752731 13879505462 20819258193 41638516386 62457774579 76337280041 124915549158 152674560082 187373323737 229011840123 374746647474 458023680246 687035520369 839710080451 1374071040738 1679420160902 2061106561107 2519130241353 4122213122214 5038260482706 7557390724059 15114781448118 22672172172177 45344344344354