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403020344413341 = 321061246717108027
BaseRepresentation
bin101101110100010110111110…
…0011101110100110010011101
31221211222100221202010200010100
41123220231330131310302131
5410311041131132211331
63545052553521531313
7150614154560562024
oct13350557435646235
91854870852120110
10403020344413341
11107461a71780216
1239250061aa3b39
13143b5869c03955
14717440847b8bb
15318d73d971ae6
hex16e8b7c774c9d

403020344413341 has 24 divisors (see below), whose sum is σ = 582925396513824. Its totient is φ = 268318173857760.

The previous prime is 403020344413283. The next prime is 403020344413361. The reversal of 403020344413341 is 143314443020304.

403020344413341 is a `hidden beast` number, since 4 + 0 + 3 + 0 + 203 + 4 + 4 + 413 + 34 + 1 = 666.

It is not a de Polignac number, because 403020344413341 - 27 = 403020344413213 is a prime.

It is a super-2 number, since 2×4030203444133412 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 403020344413296 and 403020344413305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (403020344413361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15003370 + ... + 32111396.

It is an arithmetic number, because the mean of its divisors is an integer number (24288558188076).

Almost surely, 2403020344413341 is an apocalyptic number.

It is an amenable number.

403020344413341 is a deficient number, since it is larger than the sum of its proper divisors (179905052100483).

403020344413341 is a wasteful number, since it uses less digits than its factorization.

403020344413341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17111561 (or 17111558 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 36.

Adding to 403020344413341 its reverse (143314443020304), we get a palindrome (546334787433645).

The spelling of 403020344413341 in words is "four hundred three trillion, twenty billion, three hundred forty-four million, four hundred thirteen thousand, three hundred forty-one".

Divisors: 1 3 9 1061 2467 3183 7401 9549 22203 2617487 7852461 17108027 23557383 51324081 153972243 18151616647 42205502609 54454849941 126616507827 163364549823 379849523481 44780038268149 134340114804447 403020344413341