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4234144232340 = 223251121097917707
BaseRepresentation
bin111101100111010110101…
…010011011001110010100
3112222210001210101002211100
4331213112222123032110
51023333011410413330
613001050005310100
7614623020101031
oct75472652331624
915883053332740
104234144232340
111392766042a00
12584732405330
1324937cc60c89
14108d10006388
1575216cbe060
hex3d9d6a9b394

4234144232340 has 216 divisors, whose sum is σ = 14119396593120. Its totient is φ = 1026307751040.

The previous prime is 4234144232281. The next prime is 4234144232347. The reversal of 4234144232340 is 432324414324.

4234144232340 is a `hidden beast` number, since 4 + 2 + 3 + 41 + 44 + 232 + 340 = 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 = 4234144232295 and 4234144232304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4234144232347) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 239113767 + ... + 239131473.

It is an arithmetic number, because the mean of its divisors is an integer number (65367576820).

Almost surely, 24234144232340 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 4234144232340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7059698296560).

4234144232340 is an abundant number, since it is smaller than the sum of its proper divisors (9885252360780).

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

4234144232340 is a wasteful number, since it uses less digits than its factorization.

4234144232340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28723 (or 28707 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 36.

Adding to 4234144232340 its reverse (432324414324), we get a palindrome (4666468646664).

The spelling of 4234144232340 in words is "four trillion, two hundred thirty-four billion, one hundred forty-four million, two hundred thirty-two thousand, three hundred forty".