Search a number
-
+
2432250634240 = 21357172149197
BaseRepresentation
bin100011011001001101011…
…011110110000000000000
322121112001201200012002201
4203121031123312000000
5304322222130243430
65101205512122544
7340503303162550
oct43311533660000
98545051605081
102432250634240
1185856a090009
12333477996454
1314848b61712b
1485a15d59160
1543405dbe8ca
hex2364d6f6000

2432250634240 has 672 divisors, whose sum is σ = 7170170673600. Its totient is φ = 775635861504.

The previous prime is 2432250634217. The next prime is 2432250634243. The reversal of 2432250634240 is 424360522342.

It is a self number, because there is not a number n which added to its sum of digits gives 2432250634240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2432250634243) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 12346449822 + ... + 12346450018.

Almost surely, 22432250634240 is an apocalyptic number.

2432250634240 is a gapful number since it is divisible by the number (20) 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 2432250634240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3585085336800).

2432250634240 is an abundant number, since it is smaller than the sum of its proper divisors (4737920039360).

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

2432250634240 is a wasteful number, since it uses less digits than its factorization.

2432250634240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 418 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 37.

The spelling of 2432250634240 in words is "two trillion, four hundred thirty-two billion, two hundred fifty million, six hundred thirty-four thousand, two hundred forty".