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14140608840 = 233251723100459
BaseRepresentation
bin11010010101101100…
…01001000101001000
31100111111001100122100
431022312021011020
5212424443440330
610255054153400
71010263122561
oct151266110510
940444040570
1014140608840
115aa7006796
1228a77b2860
1314447a0387
14982039168
1557b65a060
hex34ad89148

14140608840 has 192 divisors, whose sum is σ = 50776502400. Its totient is φ = 3394676736.

The previous prime is 14140608827. The next prime is 14140608841. The reversal of 14140608840 is 4880604141.

14140608840 is a `hidden beast` number, since 1 + 4 + 1 + 4 + 0 + 608 + 8 + 40 = 666.

It is a super-2 number, since 2×141406088402 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 14140608795 and 14140608804.

It is not an unprimeable number, because it can be changed into a prime (14140608841) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 90531 + ... + 190989.

It is an arithmetic number, because the mean of its divisors is an integer number (264460950).

Almost surely, 214140608840 is an apocalyptic number.

14140608840 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 14140608840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25388251200).

14140608840 is an abundant number, since it is smaller than the sum of its proper divisors (36635893560).

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

14140608840 is a wasteful number, since it uses less digits than its factorization.

14140608840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100516 (or 100509 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The spelling of 14140608840 in words is "fourteen billion, one hundred forty million, six hundred eight thousand, eight hundred forty".