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314503434666 = 23331293641213
BaseRepresentation
bin1001001001110011101…
…11011001000110101010
31010001210021200211212000
410210321313121012222
520123100334402131
6400251512031430
731502455041411
oct4447167310652
91101707624760
10314503434666
1111141aa98443
1250b52692576
1323871826005
1411317426478
1582aaad7ce6
hex4939dd91aa

314503434666 has 64 divisors (see below), whose sum is σ = 723904957440. Its totient is φ = 101106308160.

The previous prime is 314503434659. The next prime is 314503434683. The reversal of 314503434666 is 666434305413.

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, 169876 + ... + 811088.

It is an arithmetic number, because the mean of its divisors is an integer number (11311014960).

Almost surely, 2314503434666 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 314503434666, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361952478720).

314503434666 is an abundant number, since it is smaller than the sum of its proper divisors (409401522774).

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

314503434666 is a wasteful number, since it uses less digits than its factorization.

314503434666 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 641548 (or 641542 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 45.

The spelling of 314503434666 in words is "three hundred fourteen billion, five hundred three million, four hundred thirty-four thousand, six hundred sixty-six".

Divisors: 1 2 3 6 9 18 27 31 54 62 93 186 279 293 558 586 837 879 1674 1758 2637 5274 7911 9083 15822 18166 27249 54498 81747 163494 245241 490482 641213 1282426 1923639 3847278 5770917 11541834 17312751 19877603 34625502 39755206 59632809 119265618 178898427 187875409 357796854 375750818 536695281 563626227 1073390562 1127252454 1690878681 3381757362 5072636043 5824137679 10145272086 11648275358 17472413037 34944826074 52417239111 104834478222 157251717333 314503434666