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14119352352 = 253472195851
BaseRepresentation
bin11010010011001010…
…00011100000100000
31100110000001102020000
431021211003200200
5212404023233402
610253014420000
71006614341400
oct151145034040
940400042200
1014119352352
115a96008446
1228a0661600
13144026a081
1497d2a4800
1557985bc1c
hex349943820

14119352352 has 360 divisors, whose sum is σ = 50855167440. Its totient is φ = 3821126400.

The previous prime is 14119352347. The next prime is 14119352383. The reversal of 14119352352 is 25325391141.

It is a happy number.

14119352352 is a `hidden beast` number, since 1 + 41 + 1 + 93 + 523 + 5 + 2 = 666.

It is a super-2 number, since 2×141193523522 (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 an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2410227 + ... + 2416077.

It is an arithmetic number, because the mean of its divisors is an integer number (141264354).

Almost surely, 214119352352 is an apocalyptic number.

14119352352 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 14119352352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25427583720).

14119352352 is an abundant number, since it is smaller than the sum of its proper divisors (36735815088).

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

14119352352 is a wasteful number, since it uses less digits than its factorization.

14119352352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5906 (or 5882 counting only the distinct ones).

The product of its digits is 32400, while the sum is 36.

The spelling of 14119352352 in words is "fourteen billion, one hundred nineteen million, three hundred fifty-two thousand, three hundred fifty-two".