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12314411040000 = 28354173740787
BaseRepresentation
bin1011001100110010110000…
…0110000111110100000000
31121121020122110220210222210
42303030230012013310000
53103224403211240000
642105055021502120
72410454404525626
oct263145406076400
947536573823883
1012314411040000
113a1856aaa5813
12146a747411940
136b43230359a4
14308040a33516
151654d5857350
hexb332c187d00

12314411040000 has 720 divisors, whose sum is σ = 44536946465088. Its totient is φ = 3007070208000.

The previous prime is 12314411039981. The next prime is 12314411040011. The reversal of 12314411040000 is 4011441321.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 301899607 + ... + 301940393.

Almost surely, 212314411040000 is an apocalyptic number.

12314411040000 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 12314411040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22268473232544).

12314411040000 is an abundant number, since it is smaller than the sum of its proper divisors (32222535425088).

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

12314411040000 is an equidigital number, since it uses as much as digits as its factorization.

12314411040000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40880 (or 40851 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 12314411040000 its reverse (4011441321), we get a palindrome (12318422481321).

The spelling of 12314411040000 in words is "twelve trillion, three hundred fourteen billion, four hundred eleven million, forty thousand".