Search a number
-
+
5410311423200 = 2552194113166271
BaseRepresentation
bin100111010111010111110…
…1100001100010011100000
3201011012221220110001211222
41032232233230030103200
51202120304211020300
615301243542154212
71065611363212355
oct116565754142340
921135856401758
105410311423200
1117a655582a812
1273467a422968
13303261a8a148
14149c091b662c
1595b044e1785
hex4ebafb0c4e0

5410311423200 has 288 divisors, whose sum is σ = 14351111470080. Its totient is φ = 1984919040000.

The previous prime is 5410311423173. The next prime is 5410311423221. The reversal of 5410311423200 is 23241130145.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 5410311423200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 81606065 + ... + 81672335.

It is an arithmetic number, because the mean of its divisors is an integer number (49830248160).

Almost surely, 25410311423200 is an apocalyptic number.

5410311423200 is a gapful number since it is divisible by the number (50) 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 5410311423200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7175555735040).

5410311423200 is an abundant number, since it is smaller than the sum of its proper divisors (8940800046880).

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

5410311423200 is a wasteful number, since it uses less digits than its factorization.

5410311423200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66482 (or 66469 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

Adding to 5410311423200 its reverse (23241130145), we get a palindrome (5433552553345).

The spelling of 5410311423200 in words is "five trillion, four hundred ten billion, three hundred eleven million, four hundred twenty-three thousand, two hundred".