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344344141242 = 23261793969751
BaseRepresentation
bin1010000001011001000…
…00101001110110111010
31012220210221020210201200
411000230200221312322
521120204100004432
6422104533555030
733610111623063
oct5005440516672
91186727223650
10344344141242
11123043321a12
12568a01a5a76
1326618bb713a
141294864756a
158e55748a7c
hex502c829dba

344344141242 has 48 divisors (see below), whose sum is σ = 767908826880. Its totient is φ = 111470580000.

The previous prime is 344344141241. The next prime is 344344141249. The reversal of 344344141242 is 242141443443.

344344141242 is a `hidden beast` number, since 34 + 4 + 344 + 1 + 41 + 242 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 344344141197 and 344344141206.

It is not an unprimeable number, because it can be changed into a prime (344344141241) 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 23 ways as a sum of consecutive naturals, for example, 1898134 + ... + 2071617.

It is an arithmetic number, because the mean of its divisors is an integer number (15998100560).

Almost surely, 2344344141242 is an apocalyptic number.

344344141242 is an abundant number, since it is smaller than the sum of its proper divisors (423564685638).

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

344344141242 is a wasteful number, since it uses less digits than its factorization.

344344141242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3969899 (or 3969896 counting only the distinct ones).

The product of its digits is 147456, while the sum is 36.

Adding to 344344141242 its reverse (242141443443), we get a palindrome (586485584685).

The spelling of 344344141242 in words is "three hundred forty-four billion, three hundred forty-four million, one hundred forty-one thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 18 61 79 122 158 183 237 366 474 549 711 1098 1422 4819 9638 14457 28914 43371 86742 3969751 7939502 11909253 23818506 35727759 71455518 242154811 313610329 484309622 627220658 726464433 940830987 1452928866 1881661974 2179393299 2822492961 4358786598 5644985922 19130230069 38260460138 57390690207 114781380414 172172070621 344344141242