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232141121333440 = 26511773472918041
BaseRepresentation
bin110100110010000110010001…
…000100110010100011000000
31010102221110210212212012001221
4310302012101010302203000
5220411400004030132230
62141420054153404424
766616433252036104
oct6462062104624300
91112843725765057
10232141121333440
1167a705510a4780
1222052607a09714
139c6ba76c34497
144147993d81904
151bc87cb21427a
hexd321911328c0

232141121333440 has 224 divisors, whose sum is σ = 603980611248960. Its totient is φ = 84283249459200.

The previous prime is 232141121333413. The next prime is 232141121333521. The reversal of 232141121333440 is 44333121141232.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 232141121333396 and 232141121333405.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12867410820 + ... + 12867428860.

Almost surely, 2232141121333440 is an apocalyptic number.

232141121333440 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 232141121333440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301990305624480).

232141121333440 is an abundant number, since it is smaller than the sum of its proper divisors (371839489915520).

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

232141121333440 is a wasteful number, since it uses less digits than its factorization.

232141121333440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23571 (or 23561 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 34.

Adding to 232141121333440 its reverse (44333121141232), we get a palindrome (276474242474672).

The spelling of 232141121333440 in words is "two hundred thirty-two trillion, one hundred forty-one billion, one hundred twenty-one million, three hundred thirty-three thousand, four hundred forty".