Search a number
-
+
14512390451136 = 2632193143994793
BaseRepresentation
bin1101001100101110110111…
…1000001010111111000000
31220101101000102221210121200
43103023231320022333000
53400232333423414021
650510522232421200
73025325364335244
oct323135570127700
956341012853550
1014512390451136
114695741088446
121764722247800
138136880b36c6
143825910aa424
151a27796cb126
hexd32ede0afc0

14512390451136 has 336 divisors, whose sum is σ = 46250121815040. Its totient is φ = 4331881451520.

The previous prime is 14512390451123. The next prime is 14512390451137. The reversal of 14512390451136 is 63115409321541.

14512390451136 is a `hidden beast` number, since 1 + 4 + 5 + 12 + 3 + 90 + 4 + 511 + 36 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 14512390451091 and 14512390451100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14512390451137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14090956 + ... + 15085748.

Almost surely, 214512390451136 is an apocalyptic number.

14512390451136 is a gapful number since it is divisible by the number (16) 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 14512390451136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23125060907520).

14512390451136 is an abundant number, since it is smaller than the sum of its proper divisors (31737731363904).

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

14512390451136 is a wasteful number, since it uses less digits than its factorization.

14512390451136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 994904 (or 994891 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

Adding to 14512390451136 its reverse (63115409321541), we get a palindrome (77627799772677).

The spelling of 14512390451136 in words is "fourteen trillion, five hundred twelve billion, three hundred ninety million, four hundred fifty-one thousand, one hundred thirty-six".