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134641424616 = 233113271118313
BaseRepresentation
bin111110101100101000…
…0010001100011101000
3110212112101121001020020
41331121100101203220
54201221201041431
6141504201000440
712504353140356
oct1753120214350
9425471531206
10134641424616
1152112635146
1222117183120
13c909666c2a
146733aaa7d6
15378058a696
hex1f594118e8

134641424616 has 64 divisors (see below), whose sum is σ = 339726165120. Its totient is φ = 44464465920.

The previous prime is 134641424581. The next prime is 134641424627. The reversal of 134641424616 is 616424146431.

It is a happy number.

It is a super-3 number, since 3×1346414246163 (a number of 34 digits) contains 333 as substring.

It is a nude number because it is divisible by every one of its digits.

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 15 ways as a sum of consecutive naturals, for example, 7343076 + ... + 7361388.

It is an arithmetic number, because the mean of its divisors is an integer number (5308221330).

Almost surely, 2134641424616 is an apocalyptic number.

It is an amenable number.

134641424616 is an abundant number, since it is smaller than the sum of its proper divisors (205084740504).

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

134641424616 is a wasteful number, since it uses less digits than its factorization.

134641424616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21146 (or 21142 counting only the distinct ones).

The product of its digits is 331776, while the sum is 42.

The spelling of 134641424616 in words is "one hundred thirty-four billion, six hundred forty-one million, four hundred twenty-four thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 12 24 113 226 339 452 678 904 1356 2711 2712 5422 8133 10844 16266 18313 21688 32532 36626 54939 65064 73252 109878 146504 219756 306343 439512 612686 919029 1225372 1838058 2069369 2450744 3676116 4138738 6208107 7352232 8277476 12416214 16554952 24832428 49646543 49664856 99293086 148939629 198586172 297879258 397172344 595758516 1191517032 5610059359 11220118718 16830178077 22440237436 33660356154 44880474872 67320712308 134641424616