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4234234421340 = 223257111731661877
BaseRepresentation
bin111101100111011100000…
…010011110000001011100
3112222210022002002011212200
4331213130002132001130
51023333203002440330
613001102550331500
7614625163511520
oct75473402360134
915883262064780
104234234421340
111392801a43270
12584758659b90
1324939584ac51
14108d1bda1d80
157521eb86a60
hex3d9dc09e05c

4234234421340 has 1152 divisors, whose sum is σ = 17548454117376. Its totient is φ = 799248384000.

The previous prime is 4234234421311. The next prime is 4234234421363. The reversal of 4234234421340 is 431244324324.

4234234421340 is a `hidden beast` number, since 4 + 23 + 42 + 344 + 213 + 40 = 666.

4234234421340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×42342344213402 (a number of 26 digits) contains 22 as substring.

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 = 4234234421295 and 4234234421304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 4828088982 + ... + 4828089858.

It is an arithmetic number, because the mean of its divisors is an integer number (15233033088).

Almost surely, 24234234421340 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 4234234421340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8774227058688).

4234234421340 is an abundant number, since it is smaller than the sum of its proper divisors (13314219696036).

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

4234234421340 is a wasteful number, since it uses less digits than its factorization.

4234234421340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1619 (or 1614 counting only the distinct ones).

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

Adding to 4234234421340 its reverse (431244324324), we get a palindrome (4665478745664).

The spelling of 4234234421340 in words is "four trillion, two hundred thirty-four billion, two hundred thirty-four million, four hundred twenty-one thousand, three hundred forty".