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10520443440342 = 2341115313385537
BaseRepresentation
bin1001100100010111101101…
…0010110100110011010110
31101020202002210101100010000
42121011323102310303112
52334331332010042332
634213005222112130
72134035252526563
oct231057322646326
941222083340100
1010520443440342
113396771066860
12121ab2327b646
135b40c57c1c54
142852994a986a
151339da6d6b7c
hex9917b4b4cd6

10520443440342 has 80 divisors (see below), whose sum is σ = 25718385627792. Its totient is φ = 3187796705280.

The previous prime is 10520443440281. The next prime is 10520443440343. The reversal of 10520443440342 is 24304434402501.

10520443440342 is a `hidden beast` number, since 1 + 0 + 5 + 204 + 4 + 3 + 4 + 403 + 42 = 666.

It is a super-2 number, since 2×105204434403422 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10520443440297 and 10520443440306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10520443440343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 27094998 + ... + 27480534.

Almost surely, 210520443440342 is an apocalyptic number.

10520443440342 is an abundant number, since it is smaller than the sum of its proper divisors (15197942187450).

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

10520443440342 is a wasteful number, since it uses less digits than its factorization.

10520443440342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 400875 (or 400866 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 36.

Adding to 10520443440342 its reverse (24304434402501), we get a palindrome (34824877842843).

The spelling of 10520443440342 in words is "ten trillion, five hundred twenty billion, four hundred forty-three million, four hundred forty thousand, three hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 81 99 162 198 297 594 891 1782 15313 30626 45939 91878 137817 168443 275634 336886 385537 413451 505329 771074 826902 1010658 1156611 1240353 1515987 2313222 2480706 3031974 3469833 4240907 4547961 6939666 8481814 9095922 10409499 12722721 13643883 20818998 25445442 27287766 31228497 38168163 62456994 76336326 114504489 229008978 343513467 687026934 5903728081 11807456162 17711184243 35422368486 53133552729 64941008891 106267105458 129882017782 159400658187 194823026673 318801316374 389646053346 478201974561 584469080019 956403949122 1168938160038 1753407240057 3506814480114 5260221720171 10520443440342