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444232420431 = 32791308317209
BaseRepresentation
bin1100111011011100101…
…00001100110001001111
31120110122022200010211120
412131232110030301033
524234241444423211
6540024430252023
744044331161662
oct6355624146117
91513568603746
10444232420431
11161441690568
1272118657013
1332b7750b197
14177029056d9
15b84ec65d06
hex676e50cc4f

444232420431 has 16 divisors (see below), whose sum is σ = 592748747520. Its totient is φ = 295935612480.

The previous prime is 444232420427. The next prime is 444232420441. The reversal of 444232420431 is 134024232444.

It is not a de Polignac number, because 444232420431 - 22 = 444232420427 is a prime.

It is a super-2 number, since 2×4442324204312 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 444232420392 and 444232420401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444232420441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25805355 + ... + 25822563.

It is an arithmetic number, because the mean of its divisors is an integer number (37046796720).

Almost surely, 2444232420431 is an apocalyptic number.

444232420431 is a deficient number, since it is larger than the sum of its proper divisors (148516327089).

444232420431 is a wasteful number, since it uses less digits than its factorization.

444232420431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23086.

The product of its (nonzero) digits is 73728, while the sum is 33.

Adding to 444232420431 its reverse (134024232444), we get a palindrome (578256652875).

The spelling of 444232420431 in words is "four hundred forty-four billion, two hundred thirty-two million, four hundred twenty thousand, four hundred thirty-one".

Divisors: 1 3 2791 3083 8373 9249 17209 51627 8604653 25813959 48030319 53055347 144090957 159166041 148077473477 444232420431