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444024141131 = 3743373748217
BaseRepresentation
bin1100111011000011110…
…01101011010101001011
31120110002210202110100102
412131201321223111023
524233330140004011
6535552030200015
744036221632464
oct6354171532513
91513083673312
10444024141131
1116134506320a
127207a95300b
1332b433155ac
14176c2da9d6b
15b83b82373b
hex6761e6b54b

444024141131 has 16 divisors (see below), whose sum is σ = 467881665504. Its totient is φ = 420844564224.

The previous prime is 444024141061. The next prime is 444024141139. The reversal of 444024141131 is 131141420444.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 444024141131 - 234 = 426844271947 is a prime.

It is a super-2 number, since 2×4440241411312 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 444024141094 and 444024141103.

It is not an unprimeable number, because it can be changed into a prime (444024141139) 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, 219335 + ... + 967551.

It is an arithmetic number, because the mean of its divisors is an integer number (29242604094).

Almost surely, 2444024141131 is an apocalyptic number.

444024141131 is a deficient number, since it is larger than the sum of its proper divisors (23857524373).

444024141131 is a wasteful number, since it uses less digits than its factorization.

444024141131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 748670.

The product of its (nonzero) digits is 6144, while the sum is 29.

Adding to 444024141131 its reverse (131141420444), we get a palindrome (575165561575).

The spelling of 444024141131 in words is "four hundred forty-four billion, twenty-four million, one hundred forty-one thousand, one hundred thirty-one".

Divisors: 1 37 43 373 1591 13801 16039 593443 748217 27684029 32173331 279084941 1190413247 10326142817 12000652463 444024141131