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3420022261446 = 232771435787743
BaseRepresentation
bin110001110001001001001…
…101100100011011000110
3110002221200020020220122200
4301301021031210123012
5422013201144331241
611135045254135330
7502042224400140
oct61611115443306
913087606226580
103420022261446
1110a947245248a
124729a6651546
131ba67833b70b
14bb75c2d7c90
155de68d044b6
hex31c493646c6

3420022261446 has 96 divisors (see below), whose sum is σ = 8589971939328. Its totient is φ = 963154463040.

The previous prime is 3420022261433. The next prime is 3420022261463. The reversal of 3420022261446 is 6441622200243.

3420022261446 is a `hidden beast` number, since 3 + 4 + 200 + 2 + 2 + 2 + 6 + 1 + 446 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 3420022261446.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 38933851 + ... + 39021593.

It is an arithmetic number, because the mean of its divisors is an integer number (89478874368).

Almost surely, 23420022261446 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3420022261446, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4294985969664).

3420022261446 is an abundant number, since it is smaller than the sum of its proper divisors (5169949677882).

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

3420022261446 is a wasteful number, since it uses less digits than its factorization.

3420022261446 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92186 (or 92183 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

Adding to 3420022261446 its reverse (6441622200243), we get a palindrome (9861644461689).

The spelling of 3420022261446 in words is "three trillion, four hundred twenty billion, twenty-two million, two hundred sixty-one thousand, four hundred forty-six".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 71 126 142 213 426 497 639 994 1278 1491 2982 4357 4473 8714 8946 13071 26142 30499 39213 60998 78426 87743 91497 175486 182994 263229 274491 309347 526458 548982 614201 618694 789687 928041 1228402 1579374 1842603 1856082 2165429 2784123 3685206 4330858 5527809 5568246 6229753 6496287 11055618 12459506 12992574 18689259 19488861 37378518 38977722 43608271 56067777 87216542 112135554 130824813 261649626 382296251 392474439 764592502 784948878 1146888753 2293777506 2676073757 3440666259 5352147514 6881332518 8028221271 16056442542 24084663813 27143033821 48169327626 54286067642 81429101463 162858202926 190001236747 244287304389 380002473494 488574608778 570003710241 1140007420482 1710011130723 3420022261446