Search a number
-
+
3541630343140 = 225445739731101
BaseRepresentation
bin110011100010011001100…
…111100101011111100100
3110112120120022022112112101
4303202121213211133210
5431011224331440030
611311000313301444
7513605621132311
oct63423147453744
913476508275471
103541630343140
111145aa6aa913a
12492484a04884
131c8c8872b1c6
14c35b7039d08
15621d50537ca
hex338999e57e4

3541630343140 has 24 divisors (see below), whose sum is σ = 7439092614072. Its totient is φ = 1416334252800.

The previous prime is 3541630343137. The next prime is 3541630343143. The reversal of 3541630343140 is 413430361453.

It is an interprime number because it is at equal distance from previous prime (3541630343137) and next prime (3541630343143).

It can be written as a sum of positive squares in 4 ways, for example, as 1433953560484 + 2107676782656 = 1197478^2 + 1451784^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 3541630343140.

It is not an unprimeable number, because it can be changed into a prime (3541630343143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19776411 + ... + 19954690.

It is an arithmetic number, because the mean of its divisors is an integer number (309962192253).

Almost surely, 23541630343140 is an apocalyptic number.

It is an amenable number.

3541630343140 is an abundant number, since it is smaller than the sum of its proper divisors (3897462270932).

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

3541630343140 is a wasteful number, since it uses less digits than its factorization.

3541630343140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39735567 (or 39735565 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 37.

The spelling of 3541630343140 in words is "three trillion, five hundred forty-one billion, six hundred thirty million, three hundred forty-three thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 4457 8914 17828 22285 44570 89140 39731101 79462202 158924404 198655505 397311010 794622020 177081517157 354163034314 708326068628 885407585785 1770815171570 3541630343140