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12141140132430 = 23251135311882459
BaseRepresentation
bin1011000010101101010001…
…0110000100001001001110
31120222200101221010201012200
42300223110112010021032
53042410023333214210
641453321320542330
72362111525234041
oct260532426041116
946880357121180
1012141140132430
1139610350a4351
12144104b3219a6
136a0b9b54444a
142dd8c47d4c58
15160c43ca40c0
hexb0ad458424e

12141140132430 has 48 divisors (see below), whose sum is σ = 31569747496560. Its totient is φ = 3237351917184.

The previous prime is 12141140132399. The next prime is 12141140132453. The reversal of 12141140132430 is 3423104114121.

It is a happy number.

12141140132430 is a `hidden beast` number, since 1 + 2 + 1 + 4 + 11 + 401 + 3 + 243 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 12141140132394 and 12141140132403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4919460 + ... + 6962999.

It is an arithmetic number, because the mean of its divisors is an integer number (657703072845).

Almost surely, 212141140132430 is an apocalyptic number.

12141140132430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12141140132430 is an abundant number, since it is smaller than the sum of its proper divisors (19428607364130).

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

12141140132430 is a wasteful number, since it uses less digits than its factorization.

12141140132430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11893825 (or 11893822 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 12141140132430 its reverse (3423104114121), we get a palindrome (15564244246551).

The spelling of 12141140132430 in words is "twelve trillion, one hundred forty-one billion, one hundred forty million, one hundred thirty-two thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 11353 22706 34059 56765 68118 102177 113530 170295 204354 340590 510885 1021770 11882459 23764918 35647377 59412295 71294754 106942131 118824590 178236885 213884262 356473770 534710655 1069421310 134901557027 269803114054 404704671081 674507785135 809409342162 1214114013243 1349015570270 2023523355405 2428228026486 4047046710810 6070570066215 12141140132430