Search a number
-
+
14318330676 = 22313675992287
BaseRepresentation
bin11010101010111000…
…00110001100110100
31100221212110120011120
431111130012030310
5213310443040201
610324443303540
71014551542206
oct152534061464
940855416146
1014318330676
116088362841
12293721abb0
131472557320
1499b89c776
1558c063536
hex355706334

14318330676 has 96 divisors (see below), whose sum is σ = 36593356800. Its totient is φ = 4330744704.

The previous prime is 14318330617. The next prime is 14318330681. The reversal of 14318330676 is 67603381341.

It is a happy number.

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, 6259605 + ... + 6261891.

It is an arithmetic number, because the mean of its divisors is an integer number (381180800).

Almost surely, 214318330676 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 14318330676, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18296678400).

14318330676 is an abundant number, since it is smaller than the sum of its proper divisors (22275026124).

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

14318330676 is a wasteful number, since it uses less digits than its factorization.

14318330676 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2973 (or 2971 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 42.

The spelling of 14318330676 in words is "fourteen billion, three hundred eighteen million, three hundred thirty thousand, six hundred seventy-six".

Divisors: 1 2 3 4 6 12 13 26 39 52 67 78 134 156 201 268 402 599 804 871 1198 1742 1797 2287 2396 2613 3484 3594 4574 5226 6861 7188 7787 9148 10452 13722 15574 23361 27444 29731 31148 40133 46722 59462 80266 89193 93444 118924 120399 153229 160532 178386 240798 306458 356772 459687 481596 521729 612916 919374 1043458 1369913 1565187 1838748 1991977 2086916 2739826 3130374 3983954 4109739 5479652 5975931 6260748 7967908 8219478 11951862 16438956 17808869 23903724 35617738 53426607 71235476 91784171 106853214 183568342 213706428 275352513 367136684 550705026 1101410052 1193194223 2386388446 3579582669 4772776892 7159165338 14318330676