Search a number
-
+
540533521230120 = 23365112153196817
BaseRepresentation
bin111101011100111001100010…
…0100001011010100100101000
32121212212111111110211022000000
41322321303010201122210220
51031322100122413330440
65153341401021343000
7221566154360611005
oct17271630441324450
92555774443738000
10540533521230120
11147259a85066700
125075b026707a60
131a27c127b31c12
149769d67aca8ac
1542757b6079730
hex1eb9cc485a928

540533521230120 has 336 divisors, whose sum is σ = 2004306141225780. Its totient is φ = 131038428533760.

The previous prime is 540533521230107. The next prime is 540533521230121. The reversal of 540533521230120 is 21032125335045.

540533521230120 is a `hidden beast` number, since 5 + 4 + 0 + 5 + 3 + 3 + 521 + 2 + 3 + 0 + 120 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 483058594216836 + 57474927013284 = 21978594^2 + 7581222^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (540533521230121) 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 83 ways as a sum of consecutive naturals, for example, 73070049 + ... + 80126768.

Almost surely, 2540533521230120 is an apocalyptic number.

It is an amenable number.

540533521230120 is an abundant number, since it is smaller than the sum of its proper divisors (1463772619995660).

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

540533521230120 is a wasteful number, since it uses less digits than its factorization.

540533521230120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153196868 (or 153196838 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 36.

Adding to 540533521230120 its reverse (21032125335045), we get a palindrome (561565646565165).

The spelling of 540533521230120 in words is "five hundred forty trillion, five hundred thirty-three billion, five hundred twenty-one million, two hundred thirty thousand, one hundred twenty".