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14241241404 = 223213315318521
BaseRepresentation
bin11010100001101100…
…00001100100111100
31100202111102000120100
431100312001210330
5213131224211104
610313051121100
71012624361145
oct152066014474
940674360510
1014241241404
11604889a4a5
122915443190
13145c5a5a80
14991552acc
155853d7139
hex350d8193c

14241241404 has 144 divisors (see below), whose sum is σ = 40775664384. Its totient is φ = 4160332800.

The previous prime is 14241241367. The next prime is 14241241409. The reversal of 14241241404 is 40414214241.

It is a happy number.

14241241404 is a `hidden beast` number, since 1 + 4 + 241 + 2 + 414 + 0 + 4 = 666.

It is a super-3 number, since 3×142412414043 (a number of 31 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14241241409) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 759664 + ... + 778184.

It is an arithmetic number, because the mean of its divisors is an integer number (283164336).

Almost surely, 214241241404 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 14241241404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20387832192).

14241241404 is an abundant number, since it is smaller than the sum of its proper divisors (26534422980).

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

14241241404 is a wasteful number, since it uses less digits than its factorization.

14241241404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18628 (or 18623 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

Adding to 14241241404 its reverse (40414214241), we get a palindrome (54655455645).

The spelling of 14241241404 in words is "fourteen billion, two hundred forty-one million, two hundred forty-one thousand, four hundred four".

Divisors: 1 2 3 4 6 9 12 13 18 26 31 36 39 52 53 62 78 93 106 117 124 156 159 186 212 234 279 318 372 403 468 477 558 636 689 806 954 1116 1209 1378 1612 1643 1908 2067 2418 2756 3286 3627 4134 4836 4929 6201 6572 7254 8268 9858 12402 14508 14787 18521 19716 21359 24804 29574 37042 42718 55563 59148 64077 74084 85436 111126 128154 166689 192231 222252 240773 256308 333378 384462 481546 574151 666756 722319 768924 963092 981613 1148302 1444638 1722453 1963226 2166957 2296604 2889276 2944839 3444906 3926452 4333914 5167359 5889678 6889812 7463963 8667828 8834517 10334718 11779356 12760969 14927926 17669034 20669436 22391889 25521938 29855852 30430003 35338068 38282907 44783778 51043876 60860006 67175667 76565814 89567556 91290009 114848721 121720012 134351334 153131628 182580018 229697442 268702668 273870027 365160036 395590039 459394884 547740054 791180078 1095480108 1186770117 1582360156 2373540234 3560310351 4747080468 7120620702 14241241404