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5024141136 = 243278956003
BaseRepresentation
bin1001010110111011…
…00100111101010000
3110222010210210222100
410223131210331100
540242140004021
62150312440400
7235334331540
oct45335447520
913863723870
105024141136
112148aa6663
12b826a9100
13620b61ba1
14359387320
151e6124626
hex12b764f50

5024141136 has 120 divisors (see below), whose sum is σ = 16250120640. Its totient is φ = 1419314688.

The previous prime is 5024141099. The next prime is 5024141141. The reversal of 5024141136 is 6311414205.

It is a happy number.

5024141136 is a `hidden beast` number, since 5 + 0 + 241 + 411 + 3 + 6 = 666.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 61711 + ... + 117713.

It is an arithmetic number, because the mean of its divisors is an integer number (135417672).

Almost surely, 25024141136 is an apocalyptic number.

5024141136 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5024141136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8125060320).

5024141136 is an abundant number, since it is smaller than the sum of its proper divisors (11225979504).

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

5024141136 is a wasteful number, since it uses less digits than its factorization.

5024141136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56113 (or 56104 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 5024141136 is about 70881.1761753429. The cubic root of 5024141136 is about 1712.7235801360.

The spelling of 5024141136 in words is "five billion, twenty-four million, one hundred forty-one thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 89 112 126 144 168 178 252 267 336 356 504 534 623 712 801 1008 1068 1246 1424 1602 1869 2136 2492 3204 3738 4272 4984 5607 6408 7476 9968 11214 12816 14952 22428 29904 44856 56003 89712 112006 168009 224012 336018 392021 448024 504027 672036 784042 896048 1008054 1176063 1344072 1568084 2016108 2352126 2688144 3136168 3528189 4032216 4704252 4984267 6272336 7056378 8064432 9408504 9968534 14112756 14952801 18817008 19937068 28225512 29905602 34889869 39874136 44858403 56451024 59811204 69779738 79748272 89716806 104669607 119622408 139559476 179433612 209339214 239244816 279118952 314008821 358867224 418678428 558237904 628017642 717734448 837356856 1256035284 1674713712 2512070568 5024141136