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231359760240 = 243572791311901
BaseRepresentation
bin1101011101111000011…
…1011100011101110000
3211010011212012120020220
43113132013130131300
512242311044311430
6254141334333040
722500211341300
oct3273607343560
9733155176226
10231359760240
118a13460a224
1238a09aba180
1318a8131401b
14b2aad65600
156041645110
hex35de1dc770

231359760240 has 480 divisors, whose sum is σ = 851769768960. Its totient is φ = 51787008000.

The previous prime is 231359760211. The next prime is 231359760287. The reversal of 231359760240 is 42067953132.

231359760240 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 = 231359760192 and 231359760201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 121703290 + ... + 121705190.

It is an arithmetic number, because the mean of its divisors is an integer number (1774520352).

Almost surely, 2231359760240 is an apocalyptic number.

231359760240 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 231359760240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (425884884480).

231359760240 is an abundant number, since it is smaller than the sum of its proper divisors (620410008720).

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

231359760240 is a wasteful number, since it uses less digits than its factorization.

231359760240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2141 (or 2128 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 42.

The spelling of 231359760240 in words is "two hundred thirty-one billion, three hundred fifty-nine million, seven hundred sixty thousand, two hundred forty".