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2342316132432 = 24322947107111533
BaseRepresentation
bin100010000101011100111…
…010111100100001010000
322021220221001001010121100
4202011130322330201100
5301334030412214212
64552013431424400
7331140530423043
oct42053472744120
98256831033540
102342316132432
11823409435761
12319b58b25100
1313cb582485a3
1481523a2ac5a
1540de067ebdc
hex2215cebc850

2342316132432 has 240 divisors, whose sum is σ = 6990344375040. Its totient is φ = 730907563008.

The previous prime is 2342316132407. The next prime is 2342316132433.

2342316132432 is a `hidden beast` number, since 2 + 3 + 4 + 2 + 3 + 1 + 613 + 2 + 4 + 32 = 666.

2342316132432 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2342316132433) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20945338 + ... + 21056870.

It is an arithmetic number, because the mean of its divisors is an integer number (29126434896).

Almost surely, 22342316132432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2342316132432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3495172187520).

2342316132432 is an abundant number, since it is smaller than the sum of its proper divisors (4648028242608).

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

2342316132432 is a wasteful number, since it uses less digits than its factorization.

2342316132432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111730 (or 111721 counting only the distinct ones).

The product of its digits is 124416, while the sum is 36.

The spelling of 2342316132432 in words is "two trillion, three hundred forty-two billion, three hundred sixteen million, one hundred thirty-two thousand, four hundred thirty-two".