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145114026516 = 22324030945181
BaseRepresentation
bin1000011100100101111…
…0000101001000010100
3111212120020122100021200
42013021132011020110
54334143142322031
6150355305112500
713325026605414
oct2071136051024
9455506570250
10145114026516
11565a70a2a38
122415a488730
13108b82358a4
1470488d2644
153b94b9d8e6
hex21c9785214

145114026516 has 18 divisors (see below), whose sum is σ = 366816011562. Its totient is φ = 48371342160.

The previous prime is 145114026511. The next prime is 145114026571. The reversal of 145114026516 is 615620411541.

145114026516 is a `hidden beast` number, since 1 + 4 + 5 + 114 + 0 + 26 + 516 = 666.

145114026516 is digitally balanced in base 3 and base 7, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 103681424016 + 41432602500 = 321996^2 + 203550^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 4030945181 = 145114026516 / (1 + 4 + 5 + 1 + 1 + 4 + 0 + 2 + 6 + 5 + 1 + 6).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145114026511) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2015472555 + ... + 2015472626.

It is an arithmetic number, because the mean of its divisors is an integer number (20378667309).

Almost surely, 2145114026516 is an apocalyptic number.

It is an amenable number.

145114026516 is an abundant number, since it is smaller than the sum of its proper divisors (221701985046).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

145114026516 is a wasteful number, since it uses less digits than its factorization.

145114026516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4030945191 (or 4030945186 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The spelling of 145114026516 in words is "one hundred forty-five billion, one hundred fourteen million, twenty-six thousand, five hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 36 4030945181 8061890362 12092835543 16123780724 24185671086 36278506629 48371342172 72557013258 145114026516