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124434400041 = 347375931379
BaseRepresentation
bin111001111100011011…
…1100100001100101001
3102220012001021110210000
41303320313210030221
54014320201300131
6133055301013213
711663412643260
oct1637067441451
9386161243700
10124434400041
1148854a7a546
12201489b4209
13b970b03013
1460462575d7
153384436ce6
hex1cf8de4329

124434400041 has 40 divisors (see below), whose sum is σ = 218179881920. Its totient is φ = 69183592992.

The previous prime is 124434400033. The next prime is 124434400067. The reversal of 124434400041 is 140004434421.

It is not a de Polignac number, because 124434400041 - 23 = 124434400033 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 124434399978 and 124434400014.

It is not an unprimeable number, because it can be changed into a prime (124434400841) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2944711 + ... + 2986668.

It is an arithmetic number, because the mean of its divisors is an integer number (5454497048).

Almost surely, 2124434400041 is an apocalyptic number.

It is an amenable number.

124434400041 is a deficient number, since it is larger than the sum of its proper divisors (93745481879).

124434400041 is an equidigital number, since it uses as much as digits as its factorization.

124434400041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5931435 (or 5931426 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 124434400041 its reverse (140004434421), we get a palindrome (264438834462).

The spelling of 124434400041 in words is "one hundred twenty-four billion, four hundred thirty-four million, four hundred thousand, forty-one".

Divisors: 1 3 7 9 21 27 37 63 81 111 189 259 333 567 777 999 2331 2997 6993 20979 5931379 17794137 41519653 53382411 124558959 160147233 219461023 373676877 480441699 658383069 1121030631 1536227161 1975149207 3363091893 4608681483 5925447621 13826044449 17776342863 41478133347 124434400041