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5430220011540 = 223251371735692237
BaseRepresentation
bin100111100000101001001…
…0101011011100000010100
3201020010100100222010212200
41033001102111123200110
51202432042310332130
615314335244244500
71100214625344102
oct117012225334024
921203310863780
105430220011540
111803a416a3905
127384b5840730
133050b553a42c
1414ab772a4c72
15963bc202760
hex4f05255b814

5430220011540 has 288 divisors, whose sum is σ = 16724606764320. Its totient is φ = 1426030215168.

The previous prime is 5430220011527. The next prime is 5430220011547. The reversal of 5430220011540 is 451100220345.

5430220011540 is a `hidden beast` number, since 5 + 4 + 302 + 200 + 1 + 154 + 0 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 225826444944 + 5204393566596 = 475212^2 + 2281314^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5430220011547) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2427455302 + ... + 2427457538.

It is an arithmetic number, because the mean of its divisors is an integer number (58071551265).

Almost surely, 25430220011540 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5430220011540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8362303382160).

5430220011540 is an abundant number, since it is smaller than the sum of its proper divisors (11294386752780).

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

5430220011540 is a wasteful number, since it uses less digits than its factorization.

5430220011540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3131 (or 3126 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 5430220011540 its reverse (451100220345), we get a palindrome (5881320231885).

The spelling of 5430220011540 in words is "five trillion, four hundred thirty billion, two hundred twenty million, eleven thousand, five hundred forty".