Search a number
-
+
5150842045440 = 2103571319193951
BaseRepresentation
bin100101011110100011000…
…0111000100010000000000
3200020102020001000222110220
41022331012013010100000
51133342411030423230
614542133021023040
71041064444664310
oct112750607042000
920212201028426
105150842045440
111706507063933
126b23266b4a80
132b4950c28160
1413b432cc9440
158deba1d0d10
hex4af461c4400

5150842045440 has 704 divisors, whose sum is σ = 21343781437440. Its totient is φ = 1029567283200.

The previous prime is 5150842045429. The next prime is 5150842045471. The reversal of 5150842045440 is 445402480515.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 5150842045392 and 5150842045401.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 26460465 + ... + 26654415.

It is an arithmetic number, because the mean of its divisors is an integer number (30317871360).

Almost surely, 25150842045440 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5150842045440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10671890718720).

5150842045440 is an abundant number, since it is smaller than the sum of its proper divisors (16192939392000).

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

5150842045440 is a wasteful number, since it uses less digits than its factorization.

5150842045440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194018 (or 194000 counting only the distinct ones).

The product of its (nonzero) digits is 512000, while the sum is 42.

The spelling of 5150842045440 in words is "five trillion, one hundred fifty billion, eight hundred forty-two million, forty-five thousand, four hundred forty".