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320816940318 = 232719134008747
BaseRepresentation
bin1001010101100100010…
…11100000010100011110
31010200002021200011102200
410222302023200110132
520224013114042233
6403214204232330
732115066666420
oct4526213402436
91120067604380
10320816940318
1111406a887706
1252214b3b6a6
132433983ac84
1411755b22810
158529eeb313
hex4ab22e051e

320816940318 has 48 divisors (see below), whose sum is σ = 836214587520. Its totient is φ = 86837667408.

The previous prime is 320816940317. The next prime is 320816940319. The reversal of 320816940318 is 813049618023.

320816940318 is a `hidden beast` number, since 320 + 8 + 1 + 6 + 9 + 4 + 0 + 318 = 666.

It is an interprime number because it is at equal distance from previous prime (320816940317) and next prime (320816940319).

It is a super-2 number, since 2×3208169403182 (a number of 24 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (320816940317) by changing a digit.

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, 67001980 + ... + 67006767.

It is an arithmetic number, because the mean of its divisors is an integer number (17421137240).

Almost surely, 2320816940318 is an apocalyptic number.

320816940318 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

320816940318 is an abundant number, since it is smaller than the sum of its proper divisors (515397647202).

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

320816940318 is a wasteful number, since it uses less digits than its factorization.

320816940318 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134008781 (or 134008778 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 320816940318 in words is "three hundred twenty billion, eight hundred sixteen million, nine hundred forty thousand, three hundred eighteen".

Divisors: 1 2 3 6 7 9 14 18 19 21 38 42 57 63 114 126 133 171 266 342 399 798 1197 2394 134008747 268017494 402026241 804052482 938061229 1206078723 1876122458 2412157446 2546166193 2814183687 5092332386 5628367374 7638498579 8442551061 15276997158 16885102122 17823163351 22915495737 35646326702 45830991474 53469490053 106938980106 160408470159 320816940318