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144401132414033 = 11176717509658253
BaseRepresentation
bin100000110101010100000010…
…001100111110010001010001
3200221021121120012100012112122
4200311110002030332101101
5122411332004344222113
61231040544152504025
742262431450410645
oct4065240214762121
9627247505305478
10144401132414033
11420131a3799680
1214241aa70ab015
136275c78636b31
1427930a2d68c25
1511a63114ca408
hex83550233e451

144401132414033 has 32 divisors (see below), whose sum is σ = 169294292507520. Its totient is φ = 121700578728960.

The previous prime is 144401132413981. The next prime is 144401132414039. The reversal of 144401132414033 is 330414231104441.

It is not a de Polignac number, because 144401132414033 - 26 = 144401132413969 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 144401132413984 and 144401132414002.

It is not an unprimeable number, because it can be changed into a prime (144401132414039) 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 31 ways as a sum of consecutive naturals, for example, 219041135 + ... + 219699387.

It is an arithmetic number, because the mean of its divisors is an integer number (5290446640860).

Almost surely, 2144401132414033 is an apocalyptic number.

It is an amenable number.

144401132414033 is a deficient number, since it is larger than the sum of its proper divisors (24893160093487).

144401132414033 is a wasteful number, since it uses less digits than its factorization.

144401132414033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 675857.

The product of its (nonzero) digits is 55296, while the sum is 35.

Adding to 144401132414033 its reverse (330414231104441), we get a palindrome (474815363518474).

The spelling of 144401132414033 in words is "one hundred forty-four trillion, four hundred one billion, one hundred thirty-two million, four hundred fourteen thousand, thirty-three".

Divisors: 1 11 17 67 187 737 1139 12529 17509 192599 297653 658253 1173103 3274183 7240783 11190301 12904133 19942751 44102951 123093311 219370261 485132461 749750167 8247251837 11525351777 126778869547 195930980209 772198569059 2155240782299 8494184259649 13127375674003 144401132414033