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441315013140 = 223252451750073
BaseRepresentation
bin1100110110000000110…
…11001011001000010100
31120012010000001111101200
412123000123023020110
524212303120410030
6534423132152500
743612124501241
oct6330033131024
91505100044350
10441315013140
11160184902261
1271643608730
1332800c84191
141750727c5c8
15b72da88d60
hex66c06cb214

441315013140 has 36 divisors (see below), whose sum is σ = 1338655540404. Its totient is φ = 117684003456.

The previous prime is 441315013121. The next prime is 441315013151. The reversal of 441315013140 is 41310513144.

441315013140 is a `hidden beast` number, since 4 + 4 + 13 + 1 + 501 + 3 + 140 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 52979149584 + 388335863556 = 230172^2 + 623166^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1225874857 + ... + 1225875216.

Almost surely, 2441315013140 is an apocalyptic number.

It is an amenable number.

441315013140 is an abundant number, since it is smaller than the sum of its proper divisors (897340527264).

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

441315013140 is a wasteful number, since it uses less digits than its factorization.

441315013140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2451750088 (or 2451750083 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 441315013140 its reverse (41310513144), we get a palindrome (482625526284).

The spelling of 441315013140 in words is "four hundred forty-one billion, three hundred fifteen million, thirteen thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 2451750073 4903500146 7355250219 9807000292 12258750365 14710500438 22065750657 24517500730 29421000876 36776251095 44131501314 49035001460 73552502190 88263002628 110328753285 147105004380 220657506570 441315013140