Search a number
-
+
440030402020314 = 232761476591201261
BaseRepresentation
bin110010000001101001000111…
…1110011011000001111011010
32010201000111101021221210000200
41210003102033303120033122
5430133424230404122224
64155511102004043030
7161454101365632660
oct14403221763301732
92121014337853020
10440030402020314
1111823093340a596
1241428a0b393476
1315b6b8c5578641
147a938296dac30
1535d1301dd65c9
hex190348fcd83da

440030402020314 has 96 divisors (see below), whose sum is σ = 1107485530020480. Its totient is φ = 123659242012800.

The previous prime is 440030402020303. The next prime is 440030402020393. The reversal of 440030402020314 is 413020204030044.

It is a happy number.

440030402020314 is a `hidden beast` number, since 4 + 4 + 0 + 0 + 304 + 0 + 20 + 20 + 314 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 365706444 + ... + 366907704.

It is an arithmetic number, because the mean of its divisors is an integer number (11536307604380).

Almost surely, 2440030402020314 is an apocalyptic number.

440030402020314 is an abundant number, since it is smaller than the sum of its proper divisors (667455128000166).

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

440030402020314 is a wasteful number, since it uses less digits than its factorization.

440030402020314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1248996 (or 1248993 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 440030402020314 its reverse (413020204030044), we get a palindrome (853050606050358).

The spelling of 440030402020314 in words is "four hundred forty trillion, thirty billion, four hundred two million, twenty thousand, three hundred fourteen".

Divisors: 1 2 3 6 7 9 14 18 21 42 61 63 122 126 183 366 427 549 854 1098 1281 2562 3843 7686 47659 95318 142977 285954 333613 428931 667226 857862 1000839 1201261 2001678 2402522 2907199 3002517 3603783 5814398 6005034 7207566 8408827 8721597 10811349 16817654 17443194 20350393 21622698 25226481 26164791 40700786 50452962 52329582 61051179 73276921 75679443 122102358 146553842 151358886 183153537 219830763 366307074 439661526 512938447 659492289 1025876894 1318984578 1538815341 3077630682 4616446023 9232892046 57250897999 114501795998 171752693997 343505387994 400756285993 515258081991 801512571986 1030516163982 1202268857979 2404537715958 3492304777939 3606806573937 6984609555878 7213613147874 10476914333817 20953828667634 24446133445573 31430743001451 48892266891146 62861486002902 73338400336719 146676800673438 220015201010157 440030402020314