Search a number
-
+
144440453046511 = 6192916253156823
BaseRepresentation
bin100000110101111000101001…
…111001010010000011101111
3200221102101001112001022000001
4200311320221321102003233
5122413003021434442021
61231111010022245131
742265323035312266
oct4065705171220357
9627371045038001
10144440453046511
114202894120a856
121424963b5867a7
1362798a3a2227b
142794d5320d5dd
1511a7363518091
hex835e29e520ef

144440453046511 has 16 divisors (see below), whose sum is σ = 146976337287360. Its totient is φ = 141910009297920.

The previous prime is 144440453046481. The next prime is 144440453046523. The reversal of 144440453046511 is 115640354044441.

144440453046511 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 144440453046511 - 211 = 144440453044463 is a prime.

It is a super-2 number, since 2×1444404530465112 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144440453046581) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 920962846 + ... + 921119668.

It is an arithmetic number, because the mean of its divisors is an integer number (9186021080460).

Almost surely, 2144440453046511 is an apocalyptic number.

144440453046511 is a deficient number, since it is larger than the sum of its proper divisors (2535884240849).

144440453046511 is a wasteful number, since it uses less digits than its factorization.

144440453046511 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174066.

The product of its (nonzero) digits is 1843200, while the sum is 46.

The spelling of 144440453046511 in words is "one hundred forty-four trillion, four hundred forty billion, four hundred fifty-three million, forty-six thousand, five hundred eleven".

Divisors: 1 61 929 16253 56669 156823 991433 9566203 15099037 145688567 921041257 2548844219 8887002587 155479497359 2367876279451 144440453046511