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24400412324 = 22171613222461
BaseRepresentation
bin10110101110011000…
…001011111010100100
32022222111200101010222
4112232120023322210
5344433001143244
615113121303512
71522444040231
oct265630137244
968874611128
1024400412324
11a39143aa22
12488b794b98
1323bb253502
1412768aa788
1597c236bee
hex5ae60bea4

24400412324 has 24 divisors (see below), whose sum is σ = 45240762168. Its totient is φ = 11475376640.

The previous prime is 24400412297. The next prime is 24400412329. The reversal of 24400412324 is 42321400442.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 14733589924 + 9666822400 = 121382^2 + 98320^2 .

It is a super-2 number, since 2×244004123242 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 24400412293 and 24400412302.

It is not an unprimeable number, because it can be changed into a prime (24400412329) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1547 + ... + 220914.

It is an arithmetic number, because the mean of its divisors is an integer number (1885031757).

Almost surely, 224400412324 is an apocalyptic number.

It is an amenable number.

24400412324 is a deficient number, since it is larger than the sum of its proper divisors (20840349844).

24400412324 is a wasteful number, since it uses less digits than its factorization.

24400412324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224095 (or 224093 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 26.

Adding to 24400412324 its reverse (42321400442), we get a palindrome (66721812766).

The spelling of 24400412324 in words is "twenty-four billion, four hundred million, four hundred twelve thousand, three hundred twenty-four".

Divisors: 1 2 4 17 34 68 1613 3226 6452 27421 54842 109684 222461 444922 889844 3781837 7563674 15127348 358829593 717659186 1435318372 6100103081 12200206162 24400412324