Search a number
-
+
5414845440 = 210351789233
BaseRepresentation
bin1010000101011111…
…11111110000000000
3111222100222122112010
411002233333300000
542042200023230
62253150532520
7251120266254
oct50257776000
914870878463
105414845440
1123295a2584
121071507140
13683a9a374
1439520c264
1521a59d9b0
hex142bffc00

5414845440 has 352 divisors, whose sum is σ = 18623442240. Its totient is φ = 1337982976.

The previous prime is 5414845421. The next prime is 5414845451. The reversal of 5414845440 is 445484145.

It is a super-2 number, since 2×54148454402 = 58641102278177587200, which contains 22 as substring.

It is a zygodrome in base 4.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23239564 + ... + 23239796.

Almost surely, 25414845440 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 5414845440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9311721120).

5414845440 is an abundant number, since it is smaller than the sum of its proper divisors (13208596800).

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

5414845440 is a wasteful number, since it uses less digits than its factorization.

5414845440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 367 (or 349 counting only the distinct ones).

The product of its (nonzero) digits is 204800, while the sum is 39.

The square root of 5414845440 is about 73585.6333804364. The cubic root of 5414845440 is about 1756.0168878086.

The spelling of 5414845440 in words is "five billion, four hundred fourteen million, eight hundred forty-five thousand, four hundred forty".