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141342121440 = 253251343533313
BaseRepresentation
bin1000001110100010100…
…1011001110111100000
3111111211101010201020200
42003220221121313200
54303432040341230
6144533124105200
713132406131542
oct2035051316740
9444741121220
10141342121440
1154a40a40913
1223487235200
13104369572b0
146bab995692
153a23982160
hex20e8a59de0

141342121440 has 576 divisors, whose sum is σ = 541704106944. Its totient is φ = 33331544064.

The previous prime is 141342121411. The next prime is 141342121447. The reversal of 141342121440 is 44121243141.

141342121440 is a `hidden beast` number, since 1 + 4 + 1 + 3 + 4 + 212 + 1 + 440 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141342121447) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 42661224 + ... + 42664536.

It is an arithmetic number, because the mean of its divisors is an integer number (940458519).

Almost surely, 2141342121440 is an apocalyptic number.

141342121440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 141342121440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270852053472).

141342121440 is an abundant number, since it is smaller than the sum of its proper divisors (400361985504).

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

141342121440 is a wasteful number, since it uses less digits than its factorization.

141342121440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3443 (or 3432 counting only the distinct ones).

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

Adding to 141342121440 its reverse (44121243141), we get a palindrome (185463364581).

The spelling of 141342121440 in words is "one hundred forty-one billion, three hundred forty-two million, one hundred twenty-one thousand, four hundred forty".