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531054135243240 = 23357217137241160907
BaseRepresentation
bin111100010111111011010110…
…1000101100111000111101000
32120122022021112202201010022120
41320233312231011213013220
51024101242332110240430
65121242522441351240
7216600252350311500
oct17057665505470750
92518267482633276
10531054135243240
11144234880879264
124b689a23498520
1319a4226179307b
14951d22b85aa00
15415de0b870610
hex1e2fdad1671e8

531054135243240 has 768 divisors, whose sum is σ = 1984823762676480. Its totient is φ = 112938402447360.

The previous prime is 531054135243227. The next prime is 531054135243329. The reversal of 531054135243240 is 42342531450135.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 531054135243192 and 531054135243201.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3300298867 + ... + 3300459773.

It is an arithmetic number, because the mean of its divisors is an integer number (2584405940985).

Almost surely, 2531054135243240 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 531054135243240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (992411881338240).

531054135243240 is an abundant number, since it is smaller than the sum of its proper divisors (1453769627433240).

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

531054135243240 is a wasteful number, since it uses less digits than its factorization.

531054135243240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161330 (or 161319 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 42.

Adding to 531054135243240 its reverse (42342531450135), we get a palindrome (573396666693375).

The spelling of 531054135243240 in words is "five hundred thirty-one trillion, fifty-four billion, one hundred thirty-five million, two hundred forty-three thousand, two hundred forty".