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144030520301645 = 51083711177237821
BaseRepresentation
bin100000101111111010110111…
…111111111101100001001101
3200212222011221121021012120202
4200233322313333331201031
5122334244001144123040
61230154412501023245
742223601363421365
oct4057726777754115
9625864847235522
10144030520301645
114199000092a1aa
12141a20b59b4b25
13624a034613b03
14277d185bd39a5
15119b86eae9015
hex82feb7ffd84d

144030520301645 has 16 divisors (see below), whose sum is σ = 172868765020848. Its totient is φ = 115202991214080.

The previous prime is 144030520301587. The next prime is 144030520301651. The reversal of 144030520301645 is 546103025030441.

It can be written as a sum of positive squares in 8 ways, for example, as 8514426366601 + 135516093935044 = 2917949^2 + 11641138^2 .

It is not a de Polignac number, because 144030520301645 - 26 = 144030520301581 is a prime.

It is a super-3 number, since 3×1440305203016453 (a number of 43 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 144030520301599 and 144030520301608.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 605506835 + ... + 605744655.

It is an arithmetic number, because the mean of its divisors is an integer number (10804297813803).

Almost surely, 2144030520301645 is an apocalyptic number.

It is an amenable number.

144030520301645 is a deficient number, since it is larger than the sum of its proper divisors (28838244719203).

144030520301645 is a wasteful number, since it uses less digits than its factorization.

144030520301645 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259840.

The product of its (nonzero) digits is 172800, while the sum is 38.

The spelling of 144030520301645 in words is "one hundred forty-four trillion, thirty billion, five hundred twenty million, three hundred one thousand, six hundred forty-five".

Divisors: 1 5 10837 11177 54185 55885 237821 1189105 121125149 605625745 2577266177 2658125317 12886330885 13290626585 28806104060329 144030520301645