Search a number
-
+
243013244004 = 22327392470793
BaseRepresentation
bin1110001001010010110…
…1111101010001100100
3212020021000021212200200
43202110231331101210
512440142342302004
6303345545110500
723362044330516
oct3422455752144
9766230255620
10243013244004
1194074706043
123b120788430
1319bba74224b
14ba94941bb6
1564c4769239
hex3894b7d464

243013244004 has 36 divisors (see below), whose sum is σ = 622698326796. Its totient is φ = 79894764288.

The previous prime is 243013243999. The next prime is 243013244017. The reversal of 243013244004 is 400442310342.

It is a happy number.

243013244004 is a `hidden beast` number, since 243 + 0 + 13 + 2 + 4 + 400 + 4 = 666.

243013244004 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 155355799104 + 87657444900 = 394152^2 + 296070^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×2430132440042 (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 46232769 + ... + 46238024.

Almost surely, 2243013244004 is an apocalyptic number.

It is an amenable number.

243013244004 is an abundant number, since it is smaller than the sum of its proper divisors (379685082792).

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

243013244004 is a wasteful number, since it uses less digits than its factorization.

243013244004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92470876 (or 92470871 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 243013244004 its reverse (400442310342), we get a palindrome (643455554346).

The spelling of 243013244004 in words is "two hundred forty-three billion, thirteen million, two hundred forty-four thousand, four".

Divisors: 1 2 3 4 6 9 12 18 36 73 146 219 292 438 657 876 1314 2628 92470793 184941586 277412379 369883172 554824758 832237137 1109649516 1664474274 3328948548 6750367889 13500735778 20251103667 27001471556 40502207334 60753311001 81004414668 121506622002 243013244004