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141240132306 = 2327131947223433
BaseRepresentation
bin1000001110001010010…
…0010110001011010010
3111111120021020010110100
42003202210112023102
54303224433213211
6144515042113230
713130030213250
oct2034244261322
9444507203410
10141240132306
1154999410979
122345904b816
131041b7982b0
146b9c2075d0
153a19a38156
hex20e29162d2

141240132306 has 384 divisors, whose sum is σ = 407653908480. Its totient is φ = 34304477184.

The previous prime is 141240132263. The next prime is 141240132311. The reversal of 141240132306 is 603231042141.

It is a happy number.

141240132306 is a `hidden beast` number, since 1 + 412 + 4 + 0 + 13 + 230 + 6 = 666.

It is a super-3 number, since 3×1412401323063 (a number of 34 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 141240132306.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 326189466 + ... + 326189898.

It is an arithmetic number, because the mean of its divisors is an integer number (1061598720).

Almost surely, 2141240132306 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 141240132306, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203826954240).

141240132306 is an abundant number, since it is smaller than the sum of its proper divisors (266413776174).

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

141240132306 is a wasteful number, since it uses less digits than its factorization.

141240132306 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 750 (or 747 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 141240132306 its reverse (603231042141), we get a palindrome (744471174447).

The spelling of 141240132306 in words is "one hundred forty-one billion, two hundred forty million, one hundred thirty-two thousand, three hundred six".