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240433343334042 = 235310340071831939
BaseRepresentation
bin110110101010110001000000…
…000001011000011010011010
31011112022012111002111022100120
4312222301000001120122122
5223003224441343142132
62211205315245214110
7101433510246055635
oct6652610001303232
91145265432438316
10240433343334042
116a678232256131
1222b71714261336
13a4209c8102321
144353070766c1c
151cbe352a9102c
hexdaac4005869a

240433343334042 has 64 divisors (see below), whose sum is σ = 494820066723840. Its totient is φ = 77849392405824.

The previous prime is 240433343333987. The next prime is 240433343334053.

240433343334042 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 240433343333985 and 240433343334003.

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 31 ways as a sum of consecutive naturals, for example, 130329309 + ... + 132161247.

It is an arithmetic number, because the mean of its divisors is an integer number (7731563542560).

Almost surely, 2240433343334042 is an apocalyptic number.

240433343334042 is an abundant number, since it is smaller than the sum of its proper divisors (254386723389798).

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

240433343334042 is a wasteful number, since it uses less digits than its factorization.

240433343334042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1836107.

The product of its (nonzero) digits is 2985984, while the sum is 42.

The spelling of 240433343334042 in words is "two hundred forty trillion, four hundred thirty-three billion, three hundred forty-three million, three hundred thirty-four thousand, forty-two".

Divisors: 1 2 3 6 53 103 106 159 206 309 318 618 4007 5459 8014 10918 12021 16377 24042 32754 212371 412721 424742 637113 825442 1238163 1274226 1831939 2476326 3663878 5495817 10991634 21874213 43748426 65622639 97092767 131245278 188689717 194185534 291278301 377379434 566069151 582556602 1132138302 7340579573 10000555001 14681159146 20001110002 22021738719 30001665003 44043477438 60003330006 389050717369 756079696019 778101434738 1167152152107 1512159392038 2268239088057 2334304304214 4536478176114 40072223889007 80144447778014 120216671667021 240433343334042