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231357181440 = 29357111959349
BaseRepresentation
bin1101011101110111110…
…1100110111000000000
3211010011200100112210210
43113131331212320000
512242304414301230
6254141203154120
722500150411030
oct3273575467000
9733150315723
10231357181440
118a133108790
1238a09075940
1318a809202c8
14b2aa8938c0
1560412d5eb0
hex35ddf66e00

231357181440 has 1280 divisors, whose sum is σ = 989936640000. Its totient is φ = 44643778560.

The previous prime is 231357181423. The next prime is 231357181483. The reversal of 231357181440 is 44181753132.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a super-2 number, since 2×2313571814402 (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 127 ways as a sum of consecutive naturals, for example, 662914386 + ... + 662914734.

It is an arithmetic number, because the mean of its divisors is an integer number (773388000).

Almost surely, 2231357181440 is an apocalyptic number.

231357181440 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 231357181440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (494968320000).

231357181440 is an abundant number, since it is smaller than the sum of its proper divisors (758579458560).

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

231357181440 is a wasteful number, since it uses less digits than its factorization.

231357181440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 471 (or 455 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 39.

The spelling of 231357181440 in words is "two hundred thirty-one billion, three hundred fifty-seven million, one hundred eighty-one thousand, four hundred forty".