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3421241443404 = 2234292341155539
BaseRepresentation
bin110001110010010001111…
…000011000010001001100
3110010001211012100202220000
4301302101320120101030
5422023200302142104
611135410245324300
7502114360306401
oct61622170302114
913101735322800
103421241443404
1110a9a3866a984
12473086a06690
131ba810abab65
14bb8361bc2a8
155dedad7d639
hex31c91e1844c

3421241443404 has 120 divisors (see below), whose sum is σ = 9256219618800. Its totient is φ = 1100611774080.

The previous prime is 3421241443369. The next prime is 3421241443421. The reversal of 3421241443404 is 4043441421243.

3421241443404 is a `hidden beast` number, since 3 + 4 + 2 + 1 + 241 + 4 + 4 + 3 + 404 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 21918267 + ... + 22073805.

It is an arithmetic number, because the mean of its divisors is an integer number (77135163490).

Almost surely, 23421241443404 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3421241443404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4628109809400).

3421241443404 is an abundant number, since it is smaller than the sum of its proper divisors (5834978175396).

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

3421241443404 is a wasteful number, since it uses less digits than its factorization.

3421241443404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157925 (or 157914 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

Adding to 3421241443404 its reverse (4043441421243), we get a palindrome (7464682864647).

The spelling of 3421241443404 in words is "three trillion, four hundred twenty-one billion, two hundred forty-one million, four hundred forty-three thousand, four hundred four".

Divisors: 1 2 3 4 6 9 12 18 27 29 36 54 58 81 87 108 116 162 174 261 324 348 522 783 1044 1566 2341 2349 3132 4682 4698 7023 9364 9396 14046 21069 28092 42138 63207 67889 84276 126414 135778 155539 189621 203667 252828 271556 311078 379242 407334 466617 611001 622156 758484 814668 933234 1222002 1399851 1833003 1866468 2444004 2799702 3666006 4199553 4510631 5499009 5599404 7332012 8399106 9021262 10998018 12598659 13531893 16798212 18042524 21996036 25197318 27063786 40595679 50394636 54127572 81191358 121787037 162382716 243574074 364116799 365361111 487148148 728233598 730722222 1092350397 1456467196 1461444444 2184700794 3277051191 4369401588 6554102382 9831153573 10559387171 13108204764 19662307146 21118774342 29493460719 31678161513 39324614292 42237548684 58986921438 63356323026 95034484539 117973842876 126712646052 190068969078 285103453617 380137938156 570206907234 855310360851 1140413814468 1710620721702 3421241443404