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5110340040 = 23325134126633
BaseRepresentation
bin1001100001001100…
…11001100111001000
3111012011000011122100
410300212121213020
540431221340130
62203032153400
7240432113361
oct46046314710
914164004570
105110340040
112192721123
12ba7538860
13635982960
143669c4b68
151ed99ec60
hex1309999c8

5110340040 has 192 divisors, whose sum is σ = 18323126640. Its totient is φ = 1227202560.

The previous prime is 5110340023. The next prime is 5110340057. The reversal of 5110340040 is 400430115.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (5110340023) and next prime (5110340057).

It can be written as a sum of positive squares in 8 ways, for example, as 1538365284 + 3571974756 = 39222^2 + 59766^2 .

It is a super-2 number, since 2×51103400402 = 52231150648854403200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 5110339995 and 5110340022.

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, 178564 + ... + 205196.

Almost surely, 25110340040 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 5110340040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9161563320).

5110340040 is an abundant number, since it is smaller than the sum of its proper divisors (13212786600).

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

5110340040 is a wasteful number, since it uses less digits than its factorization.

5110340040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26704 (or 26697 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 5110340040 is about 71486.6423886309. The cubic root of 5110340040 is about 1722.4631241478.

Adding to 5110340040 its reverse (400430115), we get a palindrome (5510770155).

The spelling of 5110340040 in words is "five billion, one hundred ten million, three hundred forty thousand, forty".