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43814512242 = 23210324792
BaseRepresentation
bin101000110011100011…
…000110011001110010
311012002111201211120200
4220303203012121302
51204213003342432
632043401020030
73110523131514
oct506343063162
9135074654520
1043814512242
11176441715a6
1285a9484616
13419342b2b7
142199039bb4
15121681ca7c
hexa338c6672

43814512242 has 54 divisors (see below), whose sum is σ = 96062603247. Its totient is φ = 14432848632.

The previous prime is 43814512237. The next prime is 43814512243. The reversal of 43814512242 is 24221541834.

43814512242 is a `hidden beast` number, since 4 + 381 + 4 + 51 + 224 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 21907256121 + 21907256121 = 148011^2 + 148011^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=148011.

It is a super-3 number, since 3×438145122423 (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 43814512197 and 43814512206.

It is not an unprimeable number, because it can be changed into a prime (43814512243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 91470559 + ... + 91471037.

Almost surely, 243814512242 is an apocalyptic number.

43814512242 is an abundant number, since it is smaller than the sum of its proper divisors (52248091005).

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

43814512242 is an equidigital number, since it uses as much as digits as its factorization.

43814512242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1172 (or 587 counting only the distinct ones).

The product of its digits is 61440, while the sum is 36.

The spelling of 43814512242 in words is "forty-three billion, eight hundred fourteen million, five hundred twelve thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 18 103 206 309 479 618 927 958 1437 1854 2874 4311 8622 10609 21218 31827 49337 63654 95481 98674 148011 190962 229441 296022 444033 458882 688323 888066 1376646 2064969 4129938 5081711 10163422 15245133 23632423 30490266 45735399 47264846 70897269 91470798 141794538 212691807 425383614 2434139569 4868279138 7302418707 14604837414 21907256121 43814512242