Search a number
-
+
14340773631360 = 2735114338774073
BaseRepresentation
bin1101000010101111100010…
…1101111101010110000000
31212202222001011122001201110
43100223320231331112000
53334424401022200420
650300021020403320
73010041511414641
oct320537055752600
955688034561643
1014340773631360
114629984940690
1217374080a6540
138004381b4b37
143781508016c8
1519d082e5cee0
hexd0af8b7d580

14340773631360 has 512 divisors, whose sum is σ = 51052166161920. Its totient is φ = 3393991802880.

The previous prime is 14340773631311. The next prime is 14340773631383. The reversal of 14340773631360 is 6313637704341.

14340773631360 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3520934284 + ... + 3520938356.

It is an arithmetic number, because the mean of its divisors is an integer number (99711262035).

Almost surely, 214340773631360 is an apocalyptic number.

14340773631360 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 14340773631360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25526083080960).

14340773631360 is an abundant number, since it is smaller than the sum of its proper divisors (36711392530560).

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

14340773631360 is a wasteful number, since it uses less digits than its factorization.

14340773631360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8026 (or 8014 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 48.

The spelling of 14340773631360 in words is "fourteen trillion, three hundred forty billion, seven hundred seventy-three million, six hundred thirty-one thousand, three hundred sixty".