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40342433424304 = 24111012269488829
BaseRepresentation
bin10010010110000111101000…
…11010011110001110110000
312021211200212112211100011011
421023003310122132032300
520241432300424034204
6221445020313000304
711332434052113364
oct1113036432361660
9167750775740134
1040342433424304
1111944147a41080
1246367733b3094
13196837666805b
149d68270692a4
1549e5ec83c304
hex24b0f469e3b0

40342433424304 has 40 divisors (see below), whose sum is σ = 86113484165520. Its totient is φ = 18155910624000.

The previous prime is 40342433424283. The next prime is 40342433424329.

40342433424304 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1134726639 + ... + 1134762190.

It is an arithmetic number, because the mean of its divisors is an integer number (2152837104138).

Almost surely, 240342433424304 is an apocalyptic number.

40342433424304 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

40342433424304 is an abundant number, since it is smaller than the sum of its proper divisors (45771050741216).

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

40342433424304 is a wasteful number, since it uses less digits than its factorization.

40342433424304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2269488949 (or 2269488943 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 40.

It can be divided in two parts, 4034243 and 3424304, that added together give a palindrome (7458547).

The spelling of 40342433424304 in words is "forty trillion, three hundred forty-two billion, four hundred thirty-three million, four hundred twenty-four thousand, three hundred four".

Divisors: 1 2 4 8 11 16 22 44 88 101 176 202 404 808 1111 1616 2222 4444 8888 17776 2269488829 4538977658 9077955316 18155910632 24964377119 36311821264 49928754238 99857508476 199715016952 229218371729 399430033904 458436743458 916873486916 1833746973832 2521402089019 3667493947664 5042804178038 10085608356076 20171216712152 40342433424304