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2331534140640 = 253352512150227
BaseRepresentation
bin100001111011011010010…
…000111010010011100000
322020220002121211012102000
4201323122100322103200
5301144440220000030
64543031512124000
7330306406126455
oct41733220722340
98226077735360
102331534140640
1181988626a741
12317a4a096600
1313bb2a541ba3
1480bbdaa982c
15409add05860
hex21eda43a4e0

2331534140640 has 192 divisors, whose sum is σ = 8192884734720. Its totient is φ = 619265088000.

The previous prime is 2331534140603. The next prime is 2331534140641. The reversal of 2331534140640 is 460414351332.

2331534140640 is a `hidden beast` number, since 2 + 3 + 3 + 1 + 5 + 3 + 4 + 1 + 4 + 0 + 640 = 666.

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 = 2331534140595 and 2331534140604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2331534140641) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 9207 + ... + 2159433.

It is an arithmetic number, because the mean of its divisors is an integer number (42671274660).

Almost surely, 22331534140640 is an apocalyptic number.

2331534140640 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 2331534140640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4096442367360).

2331534140640 is an abundant number, since it is smaller than the sum of its proper divisors (5861350594080).

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

2331534140640 is a wasteful number, since it uses less digits than its factorization.

2331534140640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2150502 (or 2150488 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

Adding to 2331534140640 its reverse (460414351332), we get a palindrome (2791948491972).

The spelling of 2331534140640 in words is "two trillion, three hundred thirty-one billion, five hundred thirty-four million, one hundred forty thousand, six hundred forty".