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124440241024 = 2711213161333
BaseRepresentation
bin111001111100100110…
…1110110001110000000
3102220012110021020002201
41303321031312032000
54014323200203044
6133100030122544
711663513411341
oct1637115661600
9386173236081
10124440241024
11488582a9a00
122014a950454
13b972099818
146046d380c8
153384bdc7d4
hex1cf9376380

124440241024 has 96 divisors (see below), whose sum is σ = 274578824520. Its totient is φ = 56131046400.

The previous prime is 124440240979. The next prime is 124440241027. The reversal of 124440241024 is 420142044421.

It is a happy number.

It is a super-2 number, since 2×1244402410242 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 124440240983 and 124440241001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (124440241027) by changing a digit.

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, 1998262 + ... + 2059594.

Almost surely, 2124440241024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 124440241024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137289412260).

124440241024 is an abundant number, since it is smaller than the sum of its proper divisors (150138583496).

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

124440241024 is a wasteful number, since it uses less digits than its factorization.

124440241024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61500 (or 61477 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 28.

Adding to 124440241024 its reverse (420142044421), we get a palindrome (544582285445).

The spelling of 124440241024 in words is "one hundred twenty-four billion, four hundred forty million, two hundred forty-one thousand, twenty-four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 121 128 131 176 242 262 352 484 524 704 968 1048 1408 1441 1936 2096 2882 3872 4192 5764 7744 8384 11528 15488 15851 16768 23056 31702 46112 61333 63404 92224 122666 126808 184448 245332 253616 490664 507232 674663 981328 1014464 1349326 1962656 2028928 2698652 3925312 5397304 7421293 7850624 8034623 10794608 14842586 16069246 21589216 29685172 32138492 43178432 59370344 64276984 86356864 88380853 118740688 128553968 176761706 237481376 257107936 353523412 474962752 514215872 707046824 949925504 972189383 1028431744 1414093648 1944378766 2828187296 3888757532 5656374592 7777515064 11312749184 15555030128 31110060256 62220120512 124440241024