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144513235302241 = 13137501011619561
BaseRepresentation
bin100000110110111100011100…
…000011100011011101100001
3200221200022220211200222020011
4200312330130003203131201
5122420201101214132431
61231204244102444521
742303510455264551
oct4066743403433541
9627608824628204
10144513235302241
114205679a96a823
121425b772133741
1362837026c3390
14279869954b161
1511a91c300acb1
hex836f1c0e3761

144513235302241 has 16 divisors (see below), whose sum is σ = 156768846565968. Its totient is φ = 132420408192000.

The previous prime is 144513235302239. The next prime is 144513235302251. The reversal of 144513235302241 is 142203532315441.

It can be written as a sum of positive squares in 8 ways, for example, as 2270759665216 + 142242475637025 = 1506904^2 + 11926545^2 .

It is a cyclic number.

It is not a de Polignac number, because 144513235302241 - 21 = 144513235302239 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 144513235302194 and 144513235302203.

It is not an unprimeable number, because it can be changed into a prime (144513235302251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 88420101 + ... + 90039661.

It is an arithmetic number, because the mean of its divisors is an integer number (9798052910373).

Almost surely, 2144513235302241 is an apocalyptic number.

It is an amenable number.

144513235302241 is a deficient number, since it is larger than the sum of its proper divisors (12255611263727).

144513235302241 is a wasteful number, since it uses less digits than its factorization.

144513235302241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1669812.

The product of its (nonzero) digits is 345600, while the sum is 40.

Adding to 144513235302241 its reverse (142203532315441), we get a palindrome (286716767617682).

The spelling of 144513235302241 in words is "one hundred forty-four trillion, five hundred thirteen billion, two hundred thirty-five million, three hundred two thousand, two hundred forty-one".

Divisors: 1 13 137 1781 50101 651313 1619561 6863837 21054293 89229881 221879857 2884438141 81141625661 1054841133593 11116402715557 144513235302241