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24132322323142 = 21123137239347513
BaseRepresentation
bin1010111110010101111100…
…11111111110101011000110
310011110000202000221200122221
411133022332133332223012
511130340444003320032
6123154122534442554
75040334305146545
oct537127637765306
9104400660850587
1024132322323142
117764507906560
122859009b0345a
13106088c143aa7
145d602126615c
152bcb0c9d5597
hex15f2be7feac6

24132322323142 has 32 divisors (see below), whose sum is σ = 41206597655040. Its totient is φ = 10492207408320.

The previous prime is 24132322323101. The next prime is 24132322323181.

It is a happy number.

24132322323142 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 24132322323098 and 24132322323107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 69269178 + ... + 69616690.

It is an arithmetic number, because the mean of its divisors is an integer number (1287706176720).

Almost surely, 224132322323142 is an apocalyptic number.

24132322323142 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

24132322323142 is a deficient number, since it is larger than the sum of its proper divisors (17074275331898).

24132322323142 is a wasteful number, since it uses less digits than its factorization.

24132322323142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 484788.

The product of its digits is 82944, while the sum is 34.

It can be divided in two parts, 2413232 and 2323142, that added together give a palindrome (4736374).

The spelling of 24132322323142 in words is "twenty-four trillion, one hundred thirty-two billion, three hundred twenty-two million, three hundred twenty-three thousand, one hundred forty-two".

Divisors: 1 2 11 22 23 46 253 506 137239 274478 347513 695026 1509629 3019258 3156497 3822643 6312994 7645286 7992799 15985598 34721467 69442934 87920789 175841578 47692336607 95384673214 524615702677 1049231405354 1096923741961 2193847483922 12066161161571 24132322323142