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412044342314440 = 235113364727832033
BaseRepresentation
bin101110110110000001000110…
…0101001111100010111001000
32000000221001110200020012000111
41131230002030221330113020
5413001413303113030230
64020202320242444104
7152535135630256453
oct13554021451742710
92000831420205014
10412044342314440
1110a32102a298660
123a268b54663634
13148bb7cb806504
1473a70a43b449a
153298343d7792a
hex176c08ca7c5c8

412044342314440 has 64 divisors (see below), whose sum is σ = 1011411662434560. Its totient is φ = 149829847787520.

The previous prime is 412044342314413. The next prime is 412044342314477. The reversal of 412044342314440 is 44413243440214.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 412044342314393 and 412044342314402.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 888664 + ... + 28720696.

It is an arithmetic number, because the mean of its divisors is an integer number (15803307225540).

Almost surely, 2412044342314440 is an apocalyptic number.

412044342314440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

412044342314440 is an abundant number, since it is smaller than the sum of its proper divisors (599367320120120).

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

412044342314440 is a wasteful number, since it uses less digits than its factorization.

412044342314440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27865702 (or 27865698 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 40.

Adding to 412044342314440 its reverse (44413243440214), we get a palindrome (456457585754654).

The spelling of 412044342314440 in words is "four hundred twelve trillion, forty-four billion, three hundred forty-two million, three hundred fourteen thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 33647 67294 134588 168235 269176 336470 370117 672940 740234 1345880 1480468 1850585 2960936 3701170 7402340 14804680 27832033 55664066 111328132 139160165 222656264 278320330 306152363 556640660 612304726 1113281320 1224609452 1530761815 2449218904 3061523630 6123047260 12246094520 936464414351 1872928828702 3745857657404 4682322071755 7491715314808 9364644143510 10301108557861 18729288287020 20602217115722 37458576574040 41204434231444 51505542789305 82408868462888 103011085578610 206022171157220 412044342314440