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14923440000 = 2734547247
BaseRepresentation
bin11011110011000000…
…11001111110000000
31102112001002022010000
431321200121332000
5221030400040000
610504501040000
71035550101300
oct157140317600
942461068100
1014923440000
116368990397
122a859b6000
13153aa21691
14a17db5600
155c5240000
hex379819f80

14923440000 has 1200 divisors, whose sum is σ = 65931457680. Its totient is φ = 3338496000.

The previous prime is 14923439969. The next prime is 14923440019. The reversal of 14923440000 is 4432941.

It is a tau number, because it is divible by the number of its divisors (1200).

It is a super-2 number, since 2×149234400002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 149 ways as a sum of consecutive naturals, for example, 317519977 + ... + 317520023.

Almost surely, 214923440000 is an apocalyptic number.

14923440000 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 14923440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32965728840).

14923440000 is an abundant number, since it is smaller than the sum of its proper divisors (51008017680).

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

14923440000 is an frugal number, since it uses more digits than its factorization.

14923440000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 14923440000 its reverse (4432941), we get a palindrome (14927872941).

The spelling of 14923440000 in words is "fourteen billion, nine hundred twenty-three million, four hundred forty thousand".