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144441201120401 = 53972289648813
BaseRepresentation
bin100000110101111001010110…
…011110111101010010010001
3200221102102222122200101110102
4200311321112132331102101
5122413011034441323101
61231111212144142145
742265350420656603
oct4065712636752221
9627372878611412
10144441201120401
1142029195504839
121424980a007955
1362799929c4143
142794dc46dd173
1511a73a903486b
hex835e567bd491

144441201120401 has 12 divisors (see below), whose sum is σ = 148699328833692. Its totient is φ = 140254906341888.

The previous prime is 144441201120383. The next prime is 144441201120439. The reversal of 144441201120401 is 104021102144441.

It can be written as a sum of positive squares in 6 ways, for example, as 8527573880401 + 135913627240000 = 2920201^2 + 11658200^2 .

It is not a de Polignac number, because 144441201120401 - 214 = 144441201104017 is a prime.

It is a super-2 number, since 2×1444412011204012 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (144441201120301) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 144325730 + ... + 145323083.

It is an arithmetic number, because the mean of its divisors is an integer number (12391610736141).

Almost surely, 2144441201120401 is an apocalyptic number.

It is an amenable number.

144441201120401 is a deficient number, since it is larger than the sum of its proper divisors (4258127713291).

144441201120401 is an frugal number, since it uses more digits than its factorization.

144441201120401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289649060 (or 289648963 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 29.

Adding to 144441201120401 its reverse (104021102144441), we get a palindrome (248462303264842).

The spelling of 144441201120401 in words is "one hundred forty-four trillion, four hundred forty-one billion, two hundred one million, one hundred twenty thousand, four hundred one".

Divisors: 1 53 97 5141 9409 498677 289648813 15351387089 28095934861 1489084547633 2725305681517 144441201120401