Search a number
-
+
110352740435472 = 243192937836432113
BaseRepresentation
bin11001000101110101111111…
…111001001100011000010000
3112110201121201012220112020010
4121011311333321030120100
5103431004403022413342
61030411203223314520
732146502531661603
oct3105657771143020
9473647635815203
10110352740435472
11321863750a4247
12104631255aba40
1349762ac843322
141d3715b73033a
15cb57dc13729c
hex645d7fe4c610

110352740435472 has 640 divisors, whose sum is σ = 323315606476800. Its totient is φ = 32277197094912.

The previous prime is 110352740435471. The next prime is 110352740435473. The reversal of 110352740435472 is 274534047253011.

It is an interprime number because it is at equal distance from previous prime (110352740435471) and next prime (110352740435473).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (110352740435471) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 52225621488 + ... + 52225623600.

It is an arithmetic number, because the mean of its divisors is an integer number (505180635120).

Almost surely, 2110352740435472 is an apocalyptic number.

110352740435472 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 110352740435472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161657803238400).

110352740435472 is an abundant number, since it is smaller than the sum of its proper divisors (212962866041328).

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

110352740435472 is a wasteful number, since it uses less digits than its factorization.

110352740435472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2935 (or 2929 counting only the distinct ones).

The product of its (nonzero) digits is 2822400, while the sum is 48.

Adding to 110352740435472 its reverse (274534047253011), we get a palindrome (384886787688483).

The spelling of 110352740435472 in words is "one hundred ten trillion, three hundred fifty-two billion, seven hundred forty million, four hundred thirty-five thousand, four hundred seventy-two".