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13429340232 = 233721110310079
BaseRepresentation
bin11001000000111001…
…10111100001001000
31021122220200011112120
430200130313201020
5210000402341412
610100325211240
7653535336300
oct144034674110
937586604476
1013429340232
1157715700a0
122729560b20
131360316b89
149157aa600
15538eadb8c
hex320737848

13429340232 has 192 divisors, whose sum is σ = 43023052800. Its totient is φ = 3453932160.

The previous prime is 13429340167. The next prime is 13429340261. The reversal of 13429340232 is 23204392431.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 13429340193 and 13429340202.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1327369 + ... + 1337447.

It is an arithmetic number, because the mean of its divisors is an integer number (224078400).

Almost surely, 213429340232 is an apocalyptic number.

13429340232 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 13429340232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21511526400).

13429340232 is an abundant number, since it is smaller than the sum of its proper divisors (29593712568).

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

13429340232 is a wasteful number, since it uses less digits than its factorization.

13429340232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10216 (or 10205 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 33.

The spelling of 13429340232 in words is "thirteen billion, four hundred twenty-nine million, three hundred forty thousand, two hundred thirty-two".