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42134414445 = 32541149153269
BaseRepresentation
bin100111001111011010…
…000010010001101101
311000202102100000200100
4213033122002101231
51142242402230240
631204542421313
73021062420304
oct471732022155
9130672300610
1042134414445
1116961862222
1281ba891839
133c8632c7a6
142079c5543b
15116909ae30
hex9cf68246d

42134414445 has 48 divisors (see below), whose sum is σ = 75316878000. Its totient is φ = 21776317440.

The previous prime is 42134414417. The next prime is 42134414489. The reversal of 42134414445 is 54441443124.

42134414445 is a `hidden beast` number, since 42 + 134 + 41 + 4 + 445 = 666.

42134414445 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 8 ways, for example, as 26464131684 + 15670282761 = 162678^2 + 125181^2 .

It is not a de Polignac number, because 42134414445 - 27 = 42134414317 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 198271 + ... + 351539.

It is an arithmetic number, because the mean of its divisors is an integer number (1569101625).

Almost surely, 242134414445 is an apocalyptic number.

42134414445 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

42134414445 is a deficient number, since it is larger than the sum of its proper divisors (33182463555).

42134414445 is a wasteful number, since it uses less digits than its factorization.

42134414445 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153470 (or 153467 counting only the distinct ones).

The product of its digits is 122880, while the sum is 36.

Adding to 42134414445 its reverse (54441443124), we get a palindrome (96575857569).

The spelling of 42134414445 in words is "forty-two billion, one hundred thirty-four million, four hundred fourteen thousand, four hundred forty-five".

Divisors: 1 3 5 9 15 41 45 123 149 205 369 447 615 745 1341 1845 2235 6109 6705 18327 30545 54981 91635 153269 274905 459807 766345 1379421 2299035 6284029 6897105 18852087 22837081 31420145 56556261 68511243 94260435 114185405 205533729 282781305 342556215 936320321 1027668645 2808960963 4681601605 8426882889 14044804815 42134414445