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145376837514 = 23212391651803
BaseRepresentation
bin1000011101100100100…
…0100111111110001010
3111220020120011112012100
42013121020213332022
54340212432300024
6150441334054230
713334400505266
oct2073110477612
9456216145170
10145376837514
1156721486807
12242124aa376
131092a81245c
1470717850a6
153baccb37c9
hex21d9227f8a

145376837514 has 24 divisors (see below), whose sum is σ = 315009051552. Its totient is φ = 48454960680.

The previous prime is 145376837479. The next prime is 145376837537. The reversal of 145376837514 is 415738673541.

145376837514 is a `hidden beast` number, since 1 + 4 + 5 + 37 + 68 + 37 + 514 = 666.

145376837514 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1453768375142 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 102864 + ... + 548939.

It is an arithmetic number, because the mean of its divisors is an integer number (13125377148).

Almost surely, 2145376837514 is an apocalyptic number.

145376837514 is an abundant number, since it is smaller than the sum of its proper divisors (169632214038).

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

145376837514 is a wasteful number, since it uses less digits than its factorization.

145376837514 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 664202 (or 664199 counting only the distinct ones).

The product of its digits is 8467200, while the sum is 54.

The spelling of 145376837514 in words is "one hundred forty-five billion, three hundred seventy-six million, eight hundred thirty-seven thousand, five hundred fourteen".

Divisors: 1 2 3 6 9 18 12391 24782 37173 74346 111519 223038 651803 1303606 1955409 3910818 5866227 11732454 8076490973 16152981946 24229472919 48458945838 72688418757 145376837514