Search a number
-
+
14540544613452 = 2231113101510116447
BaseRepresentation
bin1101001110010111101111…
…1111110001110001001100
31220111001200112222102201010
43103211323333301301030
53401213013410112302
650531500050045220
73030343151636154
oct323457377616114
956431615872633
1014540544613452
1146a66793aa290
12176a07ab79810
13816223c29a50
14383aa2309764
151a337624516c
hexd397bff1c4c

14540544613452 has 192 divisors, whose sum is σ = 40264381882368. Its totient is φ = 4025980800000.

The previous prime is 14540544613423. The next prime is 14540544613453. The reversal of 14540544613452 is 25431644504541.

It is a super-2 number, since 2×145405446134522 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (14540544613453) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 884076693 + ... + 884093139.

It is an arithmetic number, because the mean of its divisors is an integer number (209710322304).

Almost surely, 214540544613452 is an apocalyptic number.

14540544613452 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14540544613452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20132190941184).

14540544613452 is an abundant number, since it is smaller than the sum of its proper divisors (25723837268916).

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

14540544613452 is a wasteful number, since it uses less digits than its factorization.

14540544613452 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21680 (or 21678 counting only the distinct ones).

The product of its (nonzero) digits is 4608000, while the sum is 48.

The spelling of 14540544613452 in words is "fourteen trillion, five hundred forty billion, five hundred forty-four million, six hundred thirteen thousand, four hundred fifty-two".