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24132400423142 = 2111096927291961
BaseRepresentation
bin1010111110010110000110…
…01001111010000011100110
310011110000221110220120201112
411133023003021322003212
511130341124002020032
6123154134404425022
75040336244040414
oct537130311720346
9104400843816645
1024132400423142
1177645479aa210
1228590300a8172
1310608a238a3cb
145d602b7962b4
152bcb147b11b2
hex15f2c327a0e6

24132400423142 has 8 divisors (see below), whose sum is σ = 39489382510632. Its totient is φ = 10969272919600.

The previous prime is 24132400423099. The next prime is 24132400423267.

It is a happy number.

24132400423142 is nontrivially palindromic in base 10.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a junction number, because it is equal to n+sod(n) for n = 24132400423099 and 24132400423108.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 548463645959 + ... + 548463646002.

It is an arithmetic number, because the mean of its divisors is an integer number (4936172813829).

Almost surely, 224132400423142 is an apocalyptic number.

24132400423142 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

24132400423142 is a deficient number, since it is larger than the sum of its proper divisors (15356982087490).

24132400423142 is a wasteful number, since it uses less digits than its factorization.

24132400423142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1096927291974.

The product of its (nonzero) digits is 36864, while the sum is 32.

It can be divided in two parts, 24132400 and 423142, that added together give a palindrome (24555542).

The spelling of 24132400423142 in words is "twenty-four trillion, one hundred thirty-two billion, four hundred million, four hundred twenty-three thousand, one hundred forty-two".

Divisors: 1 2 11 22 1096927291961 2193854583922 12066200211571 24132400423142