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412420040024214 = 233723938232033221
BaseRepresentation
bin101110111000110000000010…
…1111110111110000010010110
32000002020222012200202022002010
41131301200011332332002112
5413024042220221233324
64021051052324325050
7152604236026151415
oct13561400576760226
92002228180668063
10412420040024214
1110a4563a1909682
123a309924b43786
1314918073328161
1473bb344b2d47c
1532a2ed1e6c829
hex1771805fbe096

412420040024214 has 64 divisors (see below), whose sum is σ = 850900479160320. Its totient is φ = 133163287770240.

The previous prime is 412420040024191. The next prime is 412420040024281.

412420040024214 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 201824124 + ... + 203857344.

It is an arithmetic number, because the mean of its divisors is an integer number (13295319986880).

Almost surely, 2412420040024214 is an apocalyptic number.

412420040024214 is an abundant number, since it is smaller than the sum of its proper divisors (438480439136106).

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

412420040024214 is a wasteful number, since it uses less digits than its factorization.

412420040024214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2037325.

The product of its (nonzero) digits is 16384, while the sum is 30.

The spelling of 412420040024214 in words is "four hundred twelve trillion, four hundred twenty billion, forty million, twenty-four thousand, two hundred fourteen".

Divisors: 1 2 3 6 37 74 111 222 239 478 717 1434 3823 7646 8843 11469 17686 22938 26529 53058 141451 282902 424353 848706 913697 1827394 2033221 2741091 4066442 5482182 6099663 12199326 33806789 67613578 75229177 101420367 150458354 202840734 225687531 451375062 485939819 971879638 1457819457 2915638914 7773003883 15546007766 17979773303 23319011649 35959546606 46638023298 53939319909 107878639818 287601143671 575202287342 862803431013 1725606862026 1857747928037 3715495856074 5573243784111 11146487568222 68736673337369 137473346674738 206210020012107 412420040024214