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14193255132 = 22347219211223
BaseRepresentation
bin11010011011111101…
…11110001011011100
31100122011010001210000
431031332332023130
5213031433131012
610304214414300
71011502451400
oct151576761334
940564101700
1014193255132
1160237a4721
122901361390
131452674124
14989021100
155810a8ddc
hex34dfbe2dc

14193255132 has 360 divisors, whose sum is σ = 45853463040. Its totient is φ = 3806429760.

The previous prime is 14193255091. The next prime is 14193255149. The reversal of 14193255132 is 23155239141.

It is a happy number.

14193255132 is a `hidden beast` number, since 1 + 41 + 9 + 32 + 551 + 32 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 63646773 + ... + 63646995.

Almost surely, 214193255132 is an apocalyptic number.

14193255132 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 14193255132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22926731520).

14193255132 is an abundant number, since it is smaller than the sum of its proper divisors (31660207908).

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

14193255132 is a wasteful number, since it uses less digits than its factorization.

14193255132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 483 (or 465 counting only the distinct ones).

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

The spelling of 14193255132 in words is "fourteen billion, one hundred ninety-three million, two hundred fifty-five thousand, one hundred thirty-two".