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3214401246126 = 2327198915086411
BaseRepresentation
bin101110110001101001001…
…111101001001110101110
3102101021221011001001201200
4232301221033221032232
5410131043204334001
610500401530150330
7451142600531310
oct56615117511656
912337834031650
103214401246126
11102a246782284
1243ab805823a6
131a4169617795
14b181389b7b0
1558932159086
hex2ec693e93ae

3214401246126 has 96 divisors (see below), whose sum is σ = 8472528979200. Its totient is φ = 860287443840.

The previous prime is 3214401246079. The next prime is 3214401246139. The reversal of 3214401246126 is 6216421044123.

3214401246126 is a `hidden beast` number, since 3 + 2 + 1 + 4 + 401 + 246 + 1 + 2 + 6 = 666.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7330140 + ... + 7756271.

It is an arithmetic number, because the mean of its divisors is an integer number (88255510200).

Almost surely, 23214401246126 is an apocalyptic number.

3214401246126 is an abundant number, since it is smaller than the sum of its proper divisors (5258127733074).

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

3214401246126 is a wasteful number, since it uses less digits than its factorization.

3214401246126 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15086534 (or 15086531 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 3214401246126 in words is "three trillion, two hundred fourteen billion, four hundred one million, two hundred forty-six thousand, one hundred twenty-six".

Divisors: 1 2 3 6 7 9 14 18 19 21 38 42 57 63 89 114 126 133 171 178 266 267 342 399 534 623 798 801 1197 1246 1602 1691 1869 2394 3382 3738 5073 5607 10146 11214 11837 15219 23674 30438 35511 71022 106533 213066 15086411 30172822 45259233 90518466 105604877 135777699 211209754 271555398 286641809 316814631 573283618 633629262 859925427 950443893 1342690579 1719850854 1900887786 2006492663 2579776281 2685381158 4012985326 4028071737 5159552562 6019477989 8056143474 9398834053 12038955978 12084215211 18058433967 18797668106 24168430422 25511121001 28196502159 36116867934 51022242002 56393004318 76533363003 84589506477 153066726006 169179012954 178577847007 229600089009 357155694014 459200178018 535733541021 1071467082042 1607200623063 3214401246126