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530231754240 = 293556189157
BaseRepresentation
bin1111011011101000100…
…01100111111000000000
31212200121202120221200000
413231310101213320000
532141403312113430
61043330214400000
753210431355466
oct7556421477000
91780552527600
10530231754240
11194963002961
1286919660000
133b001537756
141b940358836
15dbd4c89e60
hex7b74467e00

530231754240 has 960 divisors, whose sum is σ = 1969788300480. Its totient is φ = 136638627840.

The previous prime is 530231754229. The next prime is 530231754257. The reversal of 530231754240 is 42457132035.

530231754240 is a `hidden beast` number, since 53 + 0 + 2 + 317 + 54 + 240 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×5302317542402 (a number of 24 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 530231754195 and 530231754204.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3377272242 + ... + 3377272398.

It is an arithmetic number, because the mean of its divisors is an integer number (2051862813).

Almost surely, 2530231754240 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 530231754240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (984894150240).

530231754240 is an abundant number, since it is smaller than the sum of its proper divisors (1439556546240).

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

530231754240 is an equidigital number, since it uses as much as digits as its factorization.

530231754240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 345 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 36.

Adding to 530231754240 its reverse (42457132035), we get a palindrome (572688886275).

The spelling of 530231754240 in words is "five hundred thirty billion, two hundred thirty-one million, seven hundred fifty-four thousand, two hundred forty".