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42134696045 = 5135317536977
BaseRepresentation
bin100111001111011011…
…000111000001101101
311000202102212022221222
4213033123013001231
51142242440233140
631204552433125
73021065002301
oct471733070155
9130672768858
1042134696045
1116961a34852
1281ba9a87a5
133c863caa10
142079cc9d01
1511691045b5
hex9cf6c706d

42134696045 has 32 divisors (see below), whose sum is σ = 55517972832. Its totient is φ = 30505992192.

The previous prime is 42134696029. The next prime is 42134696117. The reversal of 42134696045 is 54069643124.

It can be written as a sum of positive squares in 16 ways, for example, as 30397573801 + 11737122244 = 174349^2 + 108338^2 .

It is not a de Polignac number, because 42134696045 - 24 = 42134696029 is a prime.

It is a super-2 number, since 2×421346960452 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 42134695987 and 42134696005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6035597 + ... + 6042573.

It is an arithmetic number, because the mean of its divisors is an integer number (1734936651).

Almost surely, 242134696045 is an apocalyptic number.

It is an amenable number.

42134696045 is a deficient number, since it is larger than the sum of its proper divisors (13383276787).

42134696045 is a wasteful number, since it uses less digits than its factorization.

42134696045 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8801.

The product of its (nonzero) digits is 622080, while the sum is 44.

The spelling of 42134696045 in words is "forty-two billion, one hundred thirty-four million, six hundred ninety-six thousand, forty-five".

Divisors: 1 5 13 53 65 265 689 1753 3445 6977 8765 22789 34885 90701 92909 113945 369781 453505 464545 1207817 1848905 4807153 6039085 12230681 24035765 61153405 158998853 648226093 794994265 3241130465 8426939209 42134696045