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240231411420 = 22357111353163463
BaseRepresentation
bin1101111110111011101…
…0000110111011011100
3211222002010210010210020
43133232322012323130
512413443220131140
6302205532512140
723233105206450
oct3375672067334
9758063703706
10240231411420
1192977407050
123a68501b650
1319866306270
14b8ad2ca660
1563b041c6d0
hex37eee86edc

240231411420 has 768 divisors, whose sum is σ = 927820873728. Its totient is φ = 44834549760.

The previous prime is 240231411403. The next prime is 240231411437. The reversal of 240231411420 is 24114132042.

It is an interprime number because it is at equal distance from previous prime (240231411403) and next prime (240231411437).

It is a super-2 number, since 2×2402314114202 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 518858109 + ... + 518858571.

It is an arithmetic number, because the mean of its divisors is an integer number (1208100096).

Almost surely, 2240231411420 is an apocalyptic number.

240231411420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 240231411420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (463910436864).

240231411420 is an abundant number, since it is smaller than the sum of its proper divisors (687589462308).

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

240231411420 is a wasteful number, since it uses less digits than its factorization.

240231411420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 722 (or 720 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 240231411420 its reverse (24114132042), we get a palindrome (264345543462).

The spelling of 240231411420 in words is "two hundred forty billion, two hundred thirty-one million, four hundred eleven thousand, four hundred twenty".