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201401413020 = 223257115759109
BaseRepresentation
bin1011101110010001110…
…1011010110110011100
3201020212000021211202100
42323210131122312130
511244432230204040
6232304511125100
720356625523153
oct2734435326634
9636760254670
10201401413020
1178460935585
1233048b13790
1315cb8773b52
149a6828059a
15538b4e7b30
hex2ee475ad9c

201401413020 has 72 divisors (see below), whose sum is σ = 619522132320. Its totient is φ = 52950602880.

The previous prime is 201401412991. The next prime is 201401413027. The reversal of 201401413020 is 20314104102.

201401413020 is a `hidden beast` number, since 201 + 401 + 41 + 3 + 0 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 201401412984 and 201401413002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201401413027) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7866775 + ... + 7892334.

It is an arithmetic number, because the mean of its divisors is an integer number (8604474060).

Almost surely, 2201401413020 is an apocalyptic number.

201401413020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201401413020 is an abundant number, since it is smaller than the sum of its proper divisors (418120719300).

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

201401413020 is a wasteful number, since it uses less digits than its factorization.

201401413020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15759195 (or 15759190 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 201401413020 its reverse (20314104102), we get a palindrome (221715517122).

The spelling of 201401413020 in words is "two hundred one billion, four hundred one million, four hundred thirteen thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 71 90 142 180 213 284 355 426 639 710 852 1065 1278 1420 2130 2556 3195 4260 6390 12780 15759109 31518218 47277327 63036436 78795545 94554654 141831981 157591090 189109308 236386635 283663962 315182180 472773270 567327924 709159905 945546540 1118896739 1418319810 2237793478 2836639620 3356690217 4475586956 5594483695 6713380434 10070070651 11188967390 13426760868 16783451085 20140141302 22377934780 33566902170 40280282604 50350353255 67133804340 100700706510 201401413020