Search a number
-
+
4080329814 = 231127179159
BaseRepresentation
bin1111001100110100…
…1110010001010110
3101112100212020020110
43303031032101112
531324031023224
61512515343450
7203054142201
oct36315162126
911470766213
104080329814
111804270200
1295a5b1b86
13500468c52
142a9ca4938
1518d341929
hexf334e456

4080329814 has 48 divisors (see below), whose sum is σ = 9096433920. Its totient is φ = 1219033200.

The previous prime is 4080329809. The next prime is 4080329831. The reversal of 4080329814 is 4189230804.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11967 + ... + 91125.

It is an arithmetic number, because the mean of its divisors is an integer number (189509040).

Almost surely, 24080329814 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4080329814, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4548216960).

4080329814 is an abundant number, since it is smaller than the sum of its proper divisors (5016104106).

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

4080329814 is a wasteful number, since it uses less digits than its factorization.

4080329814 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79257 (or 79246 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 39.

The square root of 4080329814 is about 63877.4593577421. The cubic root of 4080329814 is about 1597.9570036619.

The spelling of 4080329814 in words is "four billion, eighty million, three hundred twenty-nine thousand, eight hundred fourteen".

Divisors: 1 2 3 6 11 22 33 66 71 121 142 213 242 363 426 726 781 1562 2343 4686 8591 17182 25773 51546 79159 158318 237477 474954 870749 1741498 2612247 5224494 5620289 9578239 11240578 16860867 19156478 28734717 33721734 57469434 61823179 123646358 185469537 370939074 680054969 1360109938 2040164907 4080329814