Search a number
-
+
245040771230000 = 2454109993122637
BaseRepresentation
bin110111101101110100000000…
…000111111110100100110000
31012010121200001122221021110122
4313231310000013332210300
5224104221444413330000
62225054102023145412
7102420416513024324
oct6755640007764460
91163550048837418
10245040771230000
1171094231183489
12235966625a5268
13a6963266bbb65
14447207264d984
151d4e115a57085
hexdedd001fe930

245040771230000 has 200 divisors, whose sum is σ = 598797776937360. Its totient is φ = 97103007360000.

The previous prime is 245040771229997. The next prime is 245040771230011. The reversal of 245040771230000 is 32177040542.

245040771230000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (200).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 10824778682 + ... + 10824801318.

Almost surely, 2245040771230000 is an apocalyptic number.

245040771230000 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 245040771230000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299398888468680).

245040771230000 is an abundant number, since it is smaller than the sum of its proper divisors (353757005707360).

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

245040771230000 is a wasteful number, since it uses less digits than its factorization.

245040771230000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32705 (or 32684 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 35.

The spelling of 245040771230000 in words is "two hundred forty-five trillion, forty billion, seven hundred seventy-one million, two hundred thirty thousand".