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24042012423 = 31113227271911
BaseRepresentation
bin10110011001000000…
…111111111100000111
32022001112021202220120
4112121000333330013
5343214223344143
615013355433023
71510532506452
oct263100777407
968045252816
1024042012423
11a2180a8860
1247ab755773
132361c18b70
141241054499
1595aa3e383
hex59903ff07

24042012423 has 64 divisors (see below), whose sum is σ = 38007373824. Its totient is φ = 13326768000.

The previous prime is 24042012383. The next prime is 24042012437. The reversal of 24042012423 is 32421024042.

It is not a de Polignac number, because 24042012423 - 220 = 24040963847 is a prime.

It is a super-3 number, since 3×240420124233 (a number of 32 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 24042012393 and 24042012402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (24042012443) 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 63 ways as a sum of consecutive naturals, for example, 26390338 + ... + 26391248.

It is an arithmetic number, because the mean of its divisors is an integer number (593865216).

Almost surely, 224042012423 is an apocalyptic number.

24042012423 is a deficient number, since it is larger than the sum of its proper divisors (13965361401).

24042012423 is a wasteful number, since it uses less digits than its factorization.

24042012423 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1436.

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 24042012423 its reverse (32421024042), we get a palindrome (56463036465).

The spelling of 24042012423 in words is "twenty-four billion, forty-two million, twelve thousand, four hundred twenty-three".

Divisors: 1 3 11 13 33 39 143 227 271 429 681 813 911 2497 2733 2951 2981 3523 7491 8853 8943 10021 10569 11843 30063 32461 35529 38753 61517 97383 116259 130273 184551 206797 246881 390819 620391 676687 740643 799721 2030061 2274767 2399163 2688361 2715691 3209453 6824301 8065083 8147073 8796931 9628359 26390793 29571971 35303983 56041987 88715913 105911949 168125961 616461857 728545831 1849385571 2185637493 8014004141 24042012423