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140881140468 = 223211801331613
BaseRepresentation
bin1000001100110100101…
…0111001101011110100
3111110122020201110020100
42003031022321223310
54302011032443333
6144415255434100
713115110635645
oct2031512715364
9443566643210
10140881140468
1154824805002
1223378985930
13103922b43a3
146b666796cc
1539e8275213
hex20cd2b9af4

140881140468 has 36 divisors (see below), whose sum is σ = 356147466948. Its totient is φ = 46956259200.

The previous prime is 140881140409. The next prime is 140881140479. The reversal of 140881140468 is 864041188041.

140881140468 is a `hidden beast` number, since 1 + 40 + 8 + 8 + 1 + 140 + 468 = 666.

140881140468 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 73266579684 + 67614560784 = 270678^2 + 260028^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 259030 + ... + 590642.

It is an arithmetic number, because the mean of its divisors is an integer number (9892985193).

Almost surely, 2140881140468 is an apocalyptic number.

140881140468 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

140881140468 is an abundant number, since it is smaller than the sum of its proper divisors (215266326480).

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

140881140468 is a wasteful number, since it uses less digits than its factorization.

140881140468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 343424 (or 343419 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 45.

The spelling of 140881140468 in words is "one hundred forty billion, eight hundred eighty-one million, one hundred forty thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 11801 23602 35403 47204 70806 106209 141612 212418 331613 424836 663226 994839 1326452 1989678 2984517 3979356 5969034 11938068 3913365013 7826730026 11740095039 15653460052 23480190078 35220285117 46960380156 70440570234 140881140468