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4444344133201 = 74321038633863
BaseRepresentation
bin100000010101100011110…
…0011011010011001010001
3120201212121222120102212201
41000223013203122121101
51040304004044230301
613241411542523201
7636043663552240
oct100530743323121
916655558512781
104444344133201
111463921443635
125b9415a36501
1326313b4bb73b
14115170a04957
157a91a93b201
hex40ac78da651

4444344133201 has 48 divisors (see below), whose sum is σ = 5258051076096. Its totient is φ = 3679499119968.

The previous prime is 4444344133181. The next prime is 4444344133247. The reversal of 4444344133201 is 1023314434444.

It is a happy number.

It is not a de Polignac number, because 4444344133201 - 25 = 4444344133169 is a prime.

It is a super-3 number, since 3×44443441332013 (a number of 39 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (4444344133301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1150488396 + ... + 1150492258.

It is an arithmetic number, because the mean of its divisors is an integer number (109542730752).

Almost surely, 24444344133201 is an apocalyptic number.

It is an amenable number.

4444344133201 is a deficient number, since it is larger than the sum of its proper divisors (813706942895).

4444344133201 is a wasteful number, since it uses less digits than its factorization.

4444344133201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4922 (or 4879 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 37.

Adding to 4444344133201 its reverse (1023314434444), we get a palindrome (5467658567645).

The spelling of 4444344133201 in words is "four trillion, four hundred forty-four billion, three hundred forty-four million, one hundred thirty-three thousand, two hundred one".

Divisors: 1 7 43 103 301 721 863 1849 3863 4429 6041 12943 27041 31003 37109 88889 166109 190447 259763 397889 622223 1162763 1333129 1595687 2785223 3333769 3822227 7142687 11169809 17109227 23336383 26755589 49998809 119764589 143352067 164355761 343378207 735696761 1003464469 1150490327 2403647449 5149877327 6164138881 14765262901 43148972167 103356840307 634906304743 4444344133201