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444241144030131 = 32753535692483641
BaseRepresentation
bin110010100000010001111001…
…1100101011010001110110011
32011020221001001010220210200200
41211000203303211122032303
5431211421330332431011
64212453321510450243
7162400235452315020
oct14500436345321663
92136831033823620
10444241144030131
1111960467a50a318
12419a8ab0363983
13160b59b600b366
147b9b559632547
153655ae93e3856
hex19408f395a3b3

444241144030131 has 48 divisors (see below), whose sum is σ = 747201510095040. Its totient is φ = 249057670717440.

The previous prime is 444241144030097. The next prime is 444241144030139. The reversal of 444241144030131 is 131030441142444.

444241144030131 is a `hidden beast` number, since 4 + 4 + 4 + 2 + 4 + 114 + 403 + 0 + 131 = 666.

It is not a de Polignac number, because 444241144030131 - 225 = 444241110475699 is a prime.

It is a super-2 number, since 2×4442411440301312 (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (444241144030139) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 177625071 + ... + 180108711.

It is an arithmetic number, because the mean of its divisors is an integer number (15566698126980).

Almost surely, 2444241144030131 is an apocalyptic number.

444241144030131 is a deficient number, since it is larger than the sum of its proper divisors (302960366064909).

444241144030131 is a wasteful number, since it uses less digits than its factorization.

444241144030131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2537276 (or 2537273 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

Adding to 444241144030131 its reverse (131030441142444), we get a palindrome (575271585172575).

The spelling of 444241144030131 in words is "four hundred forty-four trillion, two hundred forty-one billion, one hundred forty-four million, thirty thousand, one hundred thirty-one".

Divisors: 1 3 7 9 21 53 63 159 371 477 1113 3339 53569 160707 374983 482121 1124949 2483641 2839157 3374847 7450923 8517471 17385487 19874099 22352769 25552413 52156461 59622297 131632973 156469383 178866891 394898919 921430811 1184696757 2764292433 8292877299 133046164729 399138494187 931323153103 1197415482561 2793969459309 7051446730637 8381908377927 21154340191911 49360127114459 63463020575733 148080381343377 444241144030131