Search a number
-
+
2013401125044 = 223255927809029
BaseRepresentation
bin11101010011001000000…
…011110001000010110100
321010110221101102112112200
4131103020003301002310
5230441421142000134
64140535501344500
7265314646121331
oct35231003610264
97113841375480
102013401125044
1170697349a441
12286263b68130
13117b2aa7c76a
146d6405d3988
153758e766499
hex1d4c80f10b4

2013401125044 has 18 divisors (see below), whose sum is σ = 5089430621730. Its totient is φ = 671133708336.

The previous prime is 2013401125031. The next prime is 2013401125061. The reversal of 2013401125044 is 4405211043102.

2013401125044 is a `hidden beast` number, since 2 + 0 + 1 + 3 + 40 + 112 + 504 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1544502128400 + 468898996644 = 1242780^2 + 684762^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a junction number, because it is equal to n+sod(n) for n = 2013401124999 and 2013401125017.

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 5 ways as a sum of consecutive naturals, for example, 27963904479 + ... + 27963904550.

Almost surely, 22013401125044 is an apocalyptic number.

It is an amenable number.

2013401125044 is an abundant number, since it is smaller than the sum of its proper divisors (3076029496686).

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

2013401125044 is a wasteful number, since it uses less digits than its factorization.

2013401125044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55927809039 (or 55927809034 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 2013401125044 its reverse (4405211043102), we get a palindrome (6418612168146).

The spelling of 2013401125044 in words is "two trillion, thirteen billion, four hundred one million, one hundred twenty-five thousand, forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 55927809029 111855618058 167783427087 223711236116 335566854174 503350281261 671133708348 1006700562522 2013401125044