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140631255540 = 2234586809417
BaseRepresentation
bin1000001011111001000…
…1101010100111110100
3111102222211111222120000
42002332101222213310
54301003100134130
6144334411511300
713105654643316
oct2027621524764
9442884458500
10140631255540
115470674a836
1223309158530
13103525b2199
146b413cd7b6
1539d1365260
hex20be46a9f4

140631255540 has 60 divisors (see below), whose sum is σ = 441165462276. Its totient is φ = 37501667712.

The previous prime is 140631255533. The next prime is 140631255547. The reversal of 140631255540 is 45552136041.

140631255540 is a `hidden beast` number, since 1 + 4 + 0 + 63 + 1 + 2 + 55 + 540 = 666.

140631255540 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (140631255533) and next prime (140631255547).

It can be written as a sum of positive squares in 2 ways, for example, as 55211840784 + 85419414756 = 234972^2 + 292266^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 140631255495 and 140631255504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (140631255547) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 43403089 + ... + 43406328.

Almost surely, 2140631255540 is an apocalyptic number.

140631255540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

140631255540 is an abundant number, since it is smaller than the sum of its proper divisors (300534206736).

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

140631255540 is a wasteful number, since it uses less digits than its factorization.

140631255540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86809438 (or 86809427 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The spelling of 140631255540 in words is "one hundred forty billion, six hundred thirty-one million, two hundred fifty-five thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 270 324 405 540 810 1620 86809417 173618834 260428251 347237668 434047085 520856502 781284753 868094170 1041713004 1302141255 1562569506 1736188340 2343854259 2604282510 3125139012 3906423765 4687708518 5208565020 7031562777 7812847530 9375417036 11719271295 14063125554 15625695060 23438542590 28126251108 35157813885 46877085180 70315627770 140631255540