Search a number
-
+
5094714240 = 273357211547
BaseRepresentation
bin1001011111010101…
…10010101110000000
3111011001121022002000
410233222302232000
540413221323430
62201313224000
7240152233200
oct45752625600
914131538060
105094714240
112184919240
12ba2262000
13632671515
143648b8400
151ec414e60
hex12fab2b80

5094714240 has 768 divisors, whose sum is σ = 22939718400. Its totient is φ = 1056706560.

The previous prime is 5094714197. The next prime is 5094714253. The reversal of 5094714240 is 424174905.

It is a happy number.

5094714240 is a `hidden beast` number, since 509 + 4 + 7 + 142 + 4 + 0 = 666.

It is a super-2 number, since 2×50947142402 = 51912226374517555200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 5094714195 and 5094714204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9313647 + ... + 9314193.

It is an arithmetic number, because the mean of its divisors is an integer number (29869425).

Almost surely, 25094714240 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 5094714240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11469859200).

5094714240 is an abundant number, since it is smaller than the sum of its proper divisors (17845004160).

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

5094714240 is a wasteful number, since it uses less digits than its factorization.

5094714240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 600 (or 575 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 5094714240 is about 71377.2669692529. The cubic root of 5094714240 is about 1720.7057496780.

The spelling of 5094714240 in words is "five billion, ninety-four million, seven hundred fourteen thousand, two hundred forty".