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140152545441041 = 726997933743781
BaseRepresentation
bin11111110111011111001110…
…101011110111010100010001
3200101020110012212101212010212
4133313133032223313110101
5121332224403113103131
61214025105053133505
741343454505115200
oct3767371653672421
9611213185355125
10140152545441041
11407253a714a981
1213876603a8a295
13602843643c593
1426875c2b5b237
151130a517c0a2b
hex7f77ceaf7511

140152545441041 has 24 divisors (see below), whose sum is σ = 163079082743976. Its totient is φ = 120097976866560.

The previous prime is 140152545440911. The next prime is 140152545441071. The reversal of 140152545441041 is 140144545251041.

It can be written as a sum of positive squares in 4 ways, for example, as 89235700996225 + 50916844444816 = 9446465^2 + 7135604^2 .

It is not a de Polignac number, because 140152545441041 - 218 = 140152545178897 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 140152545441041.

It is not an unprimeable number, because it can be changed into a prime (140152545441071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3201196571 + ... + 3201240351.

It is an arithmetic number, because the mean of its divisors is an integer number (6794961780999).

Almost surely, 2140152545441041 is an apocalyptic number.

It is an amenable number.

140152545441041 is a deficient number, since it is larger than the sum of its proper divisors (22926537302935).

140152545441041 is an equidigital number, since it uses as much as digits as its factorization.

140152545441041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60129 (or 60122 counting only the distinct ones).

The product of its (nonzero) digits is 256000, while the sum is 41.

The spelling of 140152545441041 in words is "one hundred forty trillion, one hundred fifty-two billion, five hundred forty-five million, four hundred forty-one thousand, forty-one".

Divisors: 1 7 49 6997 9337 43781 48979 65359 306467 342853 457513 2145269 65330989 306335657 408783197 457316923 2144349599 2861482379 3201218461 15010447193 20030376653 2860256029409 20021792205863 140152545441041