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42114344144 = 2419753133253
BaseRepresentation
bin100111001110001101…
…011110010011010000
311000201000120100101212
4213032031132103100
51142222233003034
631202544315252
73020430006305
oct471615362320
9130630510355
1042114344144
11169514a40a4
1281b4012b28
133c82123382
14207730d0ac
1511674342ce
hex9ce35e4d0

42114344144 has 20 divisors (see below), whose sum is σ = 81601284996. Its totient is φ = 21055948032.

The previous prime is 42114344117. The next prime is 42114344147. The reversal of 42114344144 is 44144341124.

42114344144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 27330702400 + 14783641744 = 165320^2 + 121588^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 42114344144.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42114344147) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 249422 + ... + 382674.

Almost surely, 242114344144 is an apocalyptic number.

It is an amenable number.

42114344144 is a deficient number, since it is larger than the sum of its proper divisors (39486940852).

42114344144 is a wasteful number, since it uses less digits than its factorization.

42114344144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153014 (or 153008 counting only the distinct ones).

The product of its digits is 24576, while the sum is 32.

Adding to 42114344144 its reverse (44144341124), we get a palindrome (86258685268).

The spelling of 42114344144 in words is "forty-two billion, one hundred fourteen million, three hundred forty-four thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 19753 39506 79012 133253 158024 266506 316048 533012 1066024 2132048 2632146509 5264293018 10528586036 21057172072 42114344144