Search a number
-
+
13344186240 = 273457113343
BaseRepresentation
bin11000110110110000…
…00001111110000000
31021102222102220020000
430123120001332000
5204312102424430
610044044120000
7651452466030
oct143330017600
937388386200
1013344186240
1157284996a0
122704b36000
1313487a08b8
149083618c0
1553178ce60
hex31b601f80

13344186240 has 640 divisors, whose sum is σ = 59431173120. Its totient is φ = 2771988480.

The previous prime is 13344186239. The next prime is 13344186241. The reversal of 13344186240 is 4268144331.

13344186240 is a `hidden beast` number, since 1 + 334 + 4 + 1 + 86 + 240 = 666.

It is an interprime number because it is at equal distance from previous prime (13344186239) and next prime (13344186241).

It is a tau number, because it is divible by the number of its divisors (640).

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 = 13344186195 and 13344186204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13344186241) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3990009 + ... + 3993351.

It is an arithmetic number, because the mean of its divisors is an integer number (92861208).

Almost surely, 213344186240 is an apocalyptic number.

13344186240 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 13344186240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29715586560).

13344186240 is an abundant number, since it is smaller than the sum of its proper divisors (46086986880).

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

13344186240 is a wasteful number, since it uses less digits than its factorization.

13344186240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3392 (or 3371 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 13344186240 in words is "thirteen billion, three hundred forty-four million, one hundred eighty-six thousand, two hundred forty".