Search a number
-
+
45144706383 = 32723127245321
BaseRepresentation
bin101010000010110101…
…011000110101001111
311022112012201200220100
4222002311120311033
51214424021101013
632423355422143
73155504446530
oct520265306517
9138465650810
1045144706383
11181670120a7
1288baa54953
134345ba871a
14228397a687
1512934c4473
hexa82d58d4f

45144706383 has 48 divisors (see below), whose sum is σ = 78377435136. Its totient is φ = 24480973440.

The previous prime is 45144706367. The next prime is 45144706421. The reversal of 45144706383 is 38360744154.

45144706383 is a `hidden beast` number, since 4 + 5 + 1 + 4 + 4 + 7 + 0 + 638 + 3 = 666.

45144706383 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 45144706383 - 24 = 45144706367 is a prime.

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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (45144706483) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 61363 + ... + 306683.

It is an arithmetic number, because the mean of its divisors is an integer number (1632863232).

Almost surely, 245144706383 is an apocalyptic number.

45144706383 is a deficient number, since it is larger than the sum of its proper divisors (33232728753).

45144706383 is a wasteful number, since it uses less digits than its factorization.

45144706383 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245484 (or 245481 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 45144706383 in words is "forty-five billion, one hundred forty-four million, seven hundred six thousand, three hundred eighty-three".

Divisors: 1 3 7 9 21 23 63 69 127 161 207 381 483 889 1143 1449 2667 2921 8001 8763 20447 26289 61341 184023 245321 735963 1717247 2207889 5151741 5642383 15455223 16927149 31155767 39496681 50781447 93467301 118490043 218090369 280401903 355470129 654271107 716582641 1962813321 2149747923 5016078487 6449243769 15048235461 45144706383