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24013144332 = 223529384317
BaseRepresentation
bin10110010111010010…
…111000000100001100
32021222111222010100000
4112113102320010030
5343134331104312
615010445004300
71510032234102
oct262722700414
967874863300
1024013144332
11a202880831
1247a1b53690
132358c4c158
14123b29bc72
1595823aadc
hex5974b810c

24013144332 has 72 divisors (see below), whose sum is σ = 63163625616. Its totient is φ = 7976968128.

The previous prime is 24013144321. The next prime is 24013144349. The reversal of 24013144332 is 23344131042.

It is a super-2 number, since 2×240131443322 (a number of 22 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 24013144296 and 24013144305.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 242638 + ... + 326954.

It is an arithmetic number, because the mean of its divisors is an integer number (877272578).

Almost surely, 224013144332 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 24013144332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31581812808).

24013144332 is an abundant number, since it is smaller than the sum of its proper divisors (39150481284).

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

24013144332 is a wasteful number, since it uses less digits than its factorization.

24013144332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84629 (or 84615 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 24013144332 its reverse (23344131042), we get a palindrome (47357275374).

The spelling of 24013144332 in words is "twenty-four billion, thirteen million, one hundred forty-four thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 293 324 486 586 879 972 1172 1758 2637 3516 5274 7911 10548 15822 23733 31644 47466 71199 84317 94932 142398 168634 252951 284796 337268 505902 758853 1011804 1517706 2276559 3035412 4553118 6829677 9106236 13659354 20489031 24704881 27318708 40978062 49409762 74114643 81956124 98819524 148229286 222343929 296458572 444687858 667031787 889375716 1334063574 2001095361 2668127148 4002190722 6003286083 8004381444 12006572166 24013144332