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4136158516314 = 231125697188039
BaseRepresentation
bin111100001100000110010…
…000100101010001011010
3112122102010222221222201210
4330030012100211101122
51020231323040010224
612444042555323550
7604553602205406
oct74140620452132
915572128858653
104136158516314
111355153720200
125697471505b6
1324006585a356
141042966bc106
15728ce819429
hex3c30642545a

4136158516314 has 24 divisors (see below), whose sum is σ = 9092712111840. Its totient is φ = 1253381368360.

The previous prime is 4136158516309. The next prime is 4136158516351.

4136158516314 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2848593294 + ... + 2848594745.

It is an arithmetic number, because the mean of its divisors is an integer number (378863004660).

Almost surely, 24136158516314 is an apocalyptic number.

4136158516314 is an abundant number, since it is smaller than the sum of its proper divisors (4956553595526).

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

4136158516314 is a wasteful number, since it uses less digits than its factorization.

4136158516314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5697188066 (or 5697188055 counting only the distinct ones).

The product of its digits is 1036800, while the sum is 48.

The spelling of 4136158516314 in words is "four trillion, one hundred thirty-six billion, one hundred fifty-eight million, five hundred sixteen thousand, three hundred fourteen".

Divisors: 1 2 3 6 11 22 33 66 121 242 363 726 5697188039 11394376078 17091564117 34183128234 62669068429 125338136858 188007205287 376014410574 689359752719 1378719505438 2068079258157 4136158516314