Search a number
-
+
129835422240 = 25351032626121
BaseRepresentation
bin111100011101011001…
…0110101001000100000
3110102010110020211101020
41320322302311020200
54111400332002430
6135351235405440
712244304610546
oct1707262651040
9412113224336
10129835422240
1150076790457
12211b5753880
13c321a70544
1463d96a7d96
15359d6a4b10
hex1e3acb5220

129835422240 has 96 divisors (see below), whose sum is σ = 412952432256. Its totient is φ = 34286622720.

The previous prime is 129835422151. The next prime is 129835422293. The reversal of 129835422240 is 42224538921.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 129835422192 and 129835422201.

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, 1263621 + ... + 1362500.

It is an arithmetic number, because the mean of its divisors is an integer number (4301587836).

Almost surely, 2129835422240 is an apocalyptic number.

129835422240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

129835422240 is an abundant number, since it is smaller than the sum of its proper divisors (283117010016).

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

129835422240 is a wasteful number, since it uses less digits than its factorization.

129835422240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2626242 (or 2626234 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 42.

The spelling of 129835422240 in words is "one hundred twenty-nine billion, eight hundred thirty-five million, four hundred twenty-two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 103 120 160 206 240 309 412 480 515 618 824 1030 1236 1545 1648 2060 2472 3090 3296 4120 4944 6180 8240 9888 12360 16480 24720 49440 2626121 5252242 7878363 10504484 13130605 15756726 21008968 26261210 31513452 39391815 42017936 52522420 63026904 78783630 84035872 105044840 126053808 157567260 210089680 252107616 270490463 315134520 420179360 540980926 630269040 811471389 1081961852 1260538080 1352452315 1622942778 2163923704 2704904630 3245885556 4057356945 4327847408 5409809260 6491771112 8114713890 8655694816 10819618520 12983542224 16229427780 21639237040 25967084448 32458855560 43278474080 64917711120 129835422240