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240807471849 = 32721095009621
BaseRepresentation
bin1110000001000100111…
…1100110101011101001
3212000120021202001010200
43200101033212223221
512421133203044344
6302343031502413
723253301511100
oct3402117465351
9760507661120
10240807471849
11931425a384a
123a805b27a09
131992876c519
14b925a01037
1563e5cac069
hex38113e6ae9

240807471849 has 36 divisors (see below), whose sum is σ = 408334289220. Its totient is φ = 136341817920.

The previous prime is 240807471781. The next prime is 240807471907. The reversal of 240807471849 is 948174708042.

240807471849 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 75772471824 + 165035000025 = 275268^2 + 406245^2 .

It is not a de Polignac number, because 240807471849 - 228 = 240539036393 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 240807471795 and 240807471804.

It is not an unprimeable number, because it can be changed into a prime (240807471049) 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 35 ways as a sum of consecutive naturals, for example, 2456742 + ... + 2552879.

It is an arithmetic number, because the mean of its divisors is an integer number (11342619145).

Almost surely, 2240807471849 is an apocalyptic number.

It is an amenable number.

240807471849 is a deficient number, since it is larger than the sum of its proper divisors (167526817371).

240807471849 is a wasteful number, since it uses less digits than its factorization.

240807471849 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5009750 (or 5009740 counting only the distinct ones).

The product of its (nonzero) digits is 3612672, while the sum is 54.

The spelling of 240807471849 in words is "two hundred forty billion, eight hundred seven million, four hundred seventy-one thousand, eight hundred forty-nine".

Divisors: 1 3 7 9 21 49 63 109 147 327 441 763 981 2289 5341 6867 16023 48069 5009621 15028863 35067347 45086589 105202041 245471429 315606123 546048689 736414287 1638146067 2209242861 3822340823 4914438201 11467022469 26756385761 34401067407 80269157283 240807471849