Search a number
-
+
14528752150000 = 24551197272329
BaseRepresentation
bin1101001101101011110100…
…0111000110010111110000
31220102221020201101012222111
43103122331013012113300
53401014341022300000
650522225552415104
73026445010436224
oct323327507062760
956387221335874
1014528752150000
1146a1677908a20
121767929847494
13815094a8aa1a
143832a40b2784
151a2dd5d1bcba
hexd36bd1c65f0

14528752150000 has 240 divisors, whose sum is σ = 38779012046880. Its totient is φ = 5228697600000.

The previous prime is 14528752149997. The next prime is 14528752150007. The reversal of 14528752150000 is 5125782541.

It is a super-2 number, since 2×145287521500002 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14528752150007) 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, 53213836 + ... + 53486164.

It is an arithmetic number, because the mean of its divisors is an integer number (161579216862).

Almost surely, 214528752150000 is an apocalyptic number.

14528752150000 is a gapful number since it is divisible by the number (10) 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 14528752150000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19389506023440).

14528752150000 is an abundant number, since it is smaller than the sum of its proper divisors (24250259896880).

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

14528752150000 is an equidigital number, since it uses as much as digits as its factorization.

14528752150000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272470 (or 272444 counting only the distinct ones).

The product of its (nonzero) digits is 112000, while the sum is 40.

The spelling of 14528752150000 in words is "fourteen trillion, five hundred twenty-eight billion, seven hundred fifty-two million, one hundred fifty thousand".