Search a number
-
+
45350055134514 = 23213214907973417
BaseRepresentation
bin10100100111110111000011…
…11011010100010100110010
312221120102102022112110102200
422103323201323110110302
521421003403103301024
6240241305553124030
712360301433255154
oct1223734173242462
9187512368473380
1045350055134514
11134a4939939299
125105189859616
131c3c651792800
14b2ad50b66ad4
155399d42332c9
hex293ee1ed4532

45350055134514 has 36 divisors (see below), whose sum is σ = 106398206284266. Its totient is φ = 13953863117376.

The previous prime is 45350055134513. The next prime is 45350055134551. The reversal of 45350055134514 is 41543155005354.

It is a happy number.

45350055134514 is a `hidden beast` number, since 4 + 5 + 3 + 50 + 0 + 5 + 51 + 34 + 514 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 31731984603225 + 13618070531289 = 5633115^2 + 3690267^2 .

It is a super-2 number, since 2×453500551345142 (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 45350055134514.

It is not an unprimeable number, because it can be changed into a prime (45350055134513) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 7453983667 + ... + 7453989750.

Almost surely, 245350055134514 is an apocalyptic number.

45350055134514 is an abundant number, since it is smaller than the sum of its proper divisors (61048151149752).

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

45350055134514 is a wasteful number, since it uses less digits than its factorization.

45350055134514 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14907973451 (or 14907973435 counting only the distinct ones).

The product of its (nonzero) digits is 1800000, while the sum is 45.

The spelling of 45350055134514 in words is "forty-five trillion, three hundred fifty billion, fifty-five million, one hundred thirty-four thousand, five hundred fourteen".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 169 234 338 507 1014 1521 3042 14907973417 29815946834 44723920251 89447840502 134171760753 193803654421 268343521506 387607308842 581410963263 1162821926526 1744232889789 2519447507473 3488465779578 5038895014946 7558342522419 15116685044838 22675027567257 45350055134514