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2719140004314 = 2321937579211573
BaseRepresentation
bin100111100100011001010…
…111111100000111011010
3100121221120112122012122200
4213210121113330013122
5324022244320114224
65441053343031030
7400310552453316
oct47443127740732
910557515565580
102719140004314
119591a970aa68
1237aba259b476
1316954c17b046
149586db74b46
154aae75775c9
hex279195fc1da

2719140004314 has 48 divisors (see below), whose sum is σ = 6201741717600. Its totient is φ = 858648882528.

The previous prime is 2719140004309. The next prime is 2719140004337. The reversal of 2719140004314 is 4134000419172.

2719140004314 is a `hidden beast` number, since 27 + 191 + 400 + 0 + 43 + 1 + 4 = 666.

It is a super-3 number, since 3×27191400043143 (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12746232 + ... + 12957804.

It is an arithmetic number, because the mean of its divisors is an integer number (129202952450).

Almost surely, 22719140004314 is an apocalyptic number.

2719140004314 is an abundant number, since it is smaller than the sum of its proper divisors (3482601713286).

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

2719140004314 is a wasteful number, since it uses less digits than its factorization.

2719140004314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249179 (or 249176 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 2719140004314 in words is "two trillion, seven hundred nineteen billion, one hundred forty million, four thousand, three hundred fourteen".

Divisors: 1 2 3 6 9 18 19 38 57 114 171 342 37579 75158 112737 211573 225474 338211 423146 634719 676422 714001 1269438 1428002 1904157 2142003 3808314 4019887 4284006 6426009 8039774 12059661 12852018 24119322 36178983 72357966 7950701767 15901403534 23852105301 47704210602 71556315903 143112631806 151063333573 302126667146 453190000719 906380001438 1359570002157 2719140004314