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12114432414 = 234719562259
BaseRepresentation
bin10110100100001001…
…11001000110011110
31011021021102221010000
423102010321012132
5144302243314124
65322034155130
7606130655640
oct132204710636
934237387100
1012114432414
115157310417
122421122aa6
1311b0a8c506
1482ccc8890
154ad8266c9
hex2d213919e

12114432414 has 80 divisors (see below), whose sum is σ = 32656060800. Its totient is φ = 3279088656.

The previous prime is 12114432409. The next prime is 12114432431. The reversal of 12114432414 is 41423441121.

12114432414 is a `hidden beast` number, since 1 + 211 + 4 + 4 + 32 + 414 = 666.

It is a super-3 number, since 3×121144324143 (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 259584 + ... + 302675.

It is an arithmetic number, because the mean of its divisors is an integer number (408200760).

Almost surely, 212114432414 is an apocalyptic number.

12114432414 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

12114432414 is an abundant number, since it is smaller than the sum of its proper divisors (20541628386).

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

12114432414 is a wasteful number, since it uses less digits than its factorization.

12114432414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 562299 (or 562290 counting only the distinct ones).

The product of its digits is 3072, while the sum is 27.

Adding to 12114432414 its reverse (41423441121), we get a palindrome (53537873535).

The spelling of 12114432414 in words is "twelve billion, one hundred fourteen million, four hundred thirty-two thousand, four hundred fourteen".

Divisors: 1 2 3 6 7 9 14 18 19 21 27 38 42 54 57 63 81 114 126 133 162 171 189 266 342 378 399 513 567 798 1026 1134 1197 1539 2394 3078 3591 7182 10773 21546 562259 1124518 1686777 3373554 3935813 5060331 7871626 10120662 10682921 11807439 15180993 21365842 23614878 30361986 32048763 35422317 45542979 64097526 70844634 74780447 91085958 96146289 106266951 149560894 192292578 212533902 224341341 288438867 318800853 448682682 576877734 637601706 673024023 865316601 1346048046 1730633202 2019072069 4038144138 6057216207 12114432414