Search a number
-
+
242144331043 = 17311339734297
BaseRepresentation
bin1110000110000011101…
…1010100010100100011
3212011000110021112012011
43201200323110110203
512431402422043133
6303123425213351
723331363565546
oct3414073242443
9764013245164
10242144331043
119376918695a
123ab19791257
1319aac711574
14ba1139885d
15647332d6cd
hex3860ed4523

242144331043 has 16 divisors (see below), whose sum is σ = 264686171904. Its totient is φ = 220526023680.

The previous prime is 242144331029. The next prime is 242144331047. The reversal of 242144331043 is 340133441242.

It is a de Polignac number, because none of the positive numbers 2k-242144331043 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 242144330996 and 242144331014.

It is not an unprimeable number, because it can be changed into a prime (242144331047) 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 15 ways as a sum of consecutive naturals, for example, 7043071 + ... + 7077367.

It is an arithmetic number, because the mean of its divisors is an integer number (16542885744).

Almost surely, 2242144331043 is an apocalyptic number.

242144331043 is a deficient number, since it is larger than the sum of its proper divisors (22541840861).

242144331043 is a wasteful number, since it uses less digits than its factorization.

242144331043 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47742.

The product of its (nonzero) digits is 27648, while the sum is 31.

Adding to 242144331043 its reverse (340133441242), we get a palindrome (582277772285).

The spelling of 242144331043 in words is "two hundred forty-two billion, one hundred forty-four million, three hundred thirty-one thousand, forty-three".

Divisors: 1 17 31 527 13397 34297 227749 415307 583049 1063207 7060219 18074519 459476909 7811107453 14243784179 242144331043