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131814889312 = 2523374840441
BaseRepresentation
bin111101011000011000…
…1111001011101100000
3110121020101222011201111
41322300301321131200
54124424102424222
6140315510313104
712344332033561
oct1726061713540
9417211864644
10131814889312
11509a2083357
1221668658794
13c578ba8a32
14654653a168
15366735d777
hex1eb0c79760

131814889312 has 48 divisors (see below), whose sum is σ = 278112435552. Its totient is φ = 61338055680.

The previous prime is 131814889303. The next prime is 131814889331. The reversal of 131814889312 is 213988418131.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2392989 + ... + 2447452.

It is an arithmetic number, because the mean of its divisors is an integer number (5794009074).

Almost surely, 2131814889312 is an apocalyptic number.

It is an amenable number.

131814889312 is an abundant number, since it is smaller than the sum of its proper divisors (146297546240).

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

131814889312 is a wasteful number, since it uses less digits than its factorization.

131814889312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4840511 (or 4840503 counting only the distinct ones).

The product of its digits is 331776, while the sum is 49.

The spelling of 131814889312 in words is "one hundred thirty-one billion, eight hundred fourteen million, eight hundred eighty-nine thousand, three hundred twelve".

Divisors: 1 2 4 8 16 23 32 37 46 74 92 148 184 296 368 592 736 851 1184 1702 3404 6808 13616 27232 4840441 9680882 19361764 38723528 77447056 111330143 154894112 179096317 222660286 358192634 445320572 716385268 890641144 1432770536 1781282288 2865541072 3562564576 4119215291 5731082144 8238430582 16476861164 32953722328 65907444656 131814889312