Search a number
-
+
8009714214 = 2331926412
BaseRepresentation
bin1110111010110101…
…01000101000100110
3202200012200122022000
413131122220220212
5112400441323324
63402443550130
7402326306325
oct73532505046
922605618260
108009714214
113440302927
12167652b346
139a8564888
1455dab60bc
1531d2b89c9
hex1dd6a8a26

8009714214 has 72 divisors (see below), whose sum is σ = 18814831560. Its totient is φ = 2525437440.

The previous prime is 8009714183. The next prime is 8009714227. The reversal of 8009714214 is 4124179008.

It is a Curzon number.

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 35 ways as a sum of consecutive naturals, for example, 12495334 + ... + 12495974.

It is an arithmetic number, because the mean of its divisors is an integer number (261317105).

Almost surely, 28009714214 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8009714214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9407415780).

8009714214 is an abundant number, since it is smaller than the sum of its proper divisors (10805117346).

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

8009714214 is an equidigital number, since it uses as much as digits as its factorization.

8009714214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1331 (or 665 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 8009714214 is about 89497.0067320690. The cubic root of 8009714214 is about 2000.8091903946.

The spelling of 8009714214 in words is "eight billion, nine million, seven hundred fourteen thousand, two hundred fourteen".

Divisors: 1 2 3 6 9 18 19 27 38 54 57 114 171 342 361 513 641 722 1026 1083 1282 1923 2166 3249 3846 5769 6498 9747 11538 12179 17307 19494 24358 34614 36537 73074 109611 219222 231401 328833 410881 462802 657666 694203 821762 1232643 1388406 2082609 2465286 3697929 4165218 6247827 7395858 7806739 11093787 12495654 15613478 22187574 23420217 46840434 70260651 140521302 148328041 210781953 296656082 421563906 444984123 889968246 1334952369 2669904738 4004857107 8009714214