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5141234320 = 2451912726633
BaseRepresentation
bin1001100100111000…
…10000001010010000
3111021022010202121221
410302130100022100
541012123444240
62210054254424
7241255525225
oct46234201220
914238122557
105141234320
1121a9102492
12bb5957414
1363c1ab9b1
1436ab4794c
15201553a4a
hex132710290

5141234320 has 80 divisors (see below), whose sum is σ = 12682045440. Its totient is φ = 1932844032.

The previous prime is 5141234317. The next prime is 5141234353. The reversal of 5141234320 is 234321415.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 179724 + ... + 206356.

It is an arithmetic number, because the mean of its divisors is an integer number (158525568).

Almost surely, 25141234320 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5141234320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6341022720).

5141234320 is an abundant number, since it is smaller than the sum of its proper divisors (7540811120).

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

5141234320 is a wasteful number, since it uses less digits than its factorization.

5141234320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26792 (or 26786 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

The square root of 5141234320 is about 71702.4010755567. The cubic root of 5141234320 is about 1725.9271716618.

Adding to 5141234320 its reverse (234321415), we get a palindrome (5375555735).

The spelling of 5141234320 in words is "five billion, one hundred forty-one million, two hundred thirty-four thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 19 20 38 40 76 80 95 127 152 190 254 304 380 508 635 760 1016 1270 1520 2032 2413 2540 4826 5080 9652 10160 12065 19304 24130 26633 38608 48260 53266 96520 106532 133165 193040 213064 266330 426128 506027 532660 1012054 1065320 2024108 2130640 2530135 3382391 4048216 5060270 6764782 8096432 10120540 13529564 16911955 20241080 27059128 33823910 40482160 54118256 64265429 67647820 128530858 135295640 257061716 270591280 321327145 514123432 642654290 1028246864 1285308580 2570617160 5141234320