Search a number
-
+
14290036992 = 2832721137311
BaseRepresentation
bin11010100111100000…
…01010100100000000
31100212220020002112100
431103300022210000
5213231222140432
610321553030400
71014056211300
oct152360124400
940786202470
1014290036992
116073398330
122929855400
13146972bbba
14997c15600
1558982507c
hex353c0a900

14290036992 has 648 divisors, whose sum is σ = 53871435072. Its totient is φ = 3599769600.

The previous prime is 14290036973. The next prime is 14290036997. The reversal of 14290036992 is 29963009241.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (14290036997) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 45948517 + ... + 45948827.

Almost surely, 214290036992 is an apocalyptic number.

14290036992 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 14290036992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26935717536).

14290036992 is an abundant number, since it is smaller than the sum of its proper divisors (39581398080).

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

14290036992 is a wasteful number, since it uses less digits than its factorization.

14290036992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 395 (or 371 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 45.

The spelling of 14290036992 in words is "fourteen billion, two hundred ninety million, thirty-six thousand, nine hundred ninety-two".