Search a number
-
+
201401342320 = 2457931867301
BaseRepresentation
bin1011101110010001110…
…1001001100101110000
3201020212000011020202211
42323210131021211300
511244432220423240
6232304505421504
720356625110063
oct2734435114560
9636760136684
10201401342320
1178460897452
1233048a9a894
1315cb874a909
149a682628da
15538b4d1bea
hex2ee4749970

201401342320 has 40 divisors (see below), whose sum is σ = 474185453760. Its totient is φ = 79540780800.

The previous prime is 201401342309. The next prime is 201401342327. The reversal of 201401342320 is 23243104102.

201401342320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 201401342291 and 201401342300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201401342327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15927331 + ... + 15939970.

It is an arithmetic number, because the mean of its divisors is an integer number (11854636344).

Almost surely, 2201401342320 is an apocalyptic number.

201401342320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201401342320 is an abundant number, since it is smaller than the sum of its proper divisors (272784111440).

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

201401342320 is a wasteful number, since it uses less digits than its factorization.

201401342320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31867393 (or 31867387 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 201401342320 its reverse (23243104102), we get a palindrome (224644446422).

The spelling of 201401342320 in words is "two hundred one billion, four hundred one million, three hundred forty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 79 80 158 316 395 632 790 1264 1580 3160 6320 31867301 63734602 127469204 159336505 254938408 318673010 509876816 637346020 1274692040 2517516779 2549384080 5035033558 10070067116 12587583895 20140134232 25175167790 40280268464 50350335580 100700671160 201401342320