Search a number
-
+
2325349415120 = 24529066867689
BaseRepresentation
bin100001110101101001101…
…000000011100011010000
322020022010121011120221212
4201311221220003203100
5301044303422240440
64540130100035252
7330000216621644
oct41655150034320
98208117146855
102325349415120
118171a2139936
12316802992b28
1313b3831093a4
1480794532c24
154074ad7e465
hex21d69a038d0

2325349415120 has 20 divisors (see below), whose sum is σ = 5406437390340. Its totient is φ = 930139766016.

The previous prime is 2325349415101. The next prime is 2325349415149. The reversal of 2325349415120 is 215149435232.

It can be written as a sum of positive squares in 2 ways, for example, as 831058317376 + 1494291097744 = 911624^2 + 1222412^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-2 number, since 2×23253494151202 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 14533433765 + ... + 14533433924.

It is an arithmetic number, because the mean of its divisors is an integer number (270321869517).

Almost surely, 22325349415120 is an apocalyptic number.

2325349415120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2325349415120 is an abundant number, since it is smaller than the sum of its proper divisors (3081087975220).

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

2325349415120 is a wasteful number, since it uses less digits than its factorization.

2325349415120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29066867702 (or 29066867696 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 41.

The spelling of 2325349415120 in words is "two trillion, three hundred twenty-five billion, three hundred forty-nine million, four hundred fifteen thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 29066867689 58133735378 116267470756 145334338445 232534941512 290668676890 465069883024 581337353780 1162674707560 2325349415120