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2334323444432 = 247231711352773
BaseRepresentation
bin100001111110000000100…
…001010000101011010000
322021011022000101111212212
4201332000201100223100
5301221143300210212
64544212352411252
7330435465615500
oct41760041205320
98234260344785
102334323444432
1181aa87801991
123184a8246b28
1313c1833956c5
1480da6307a00
1540ac3b2ae22
hex21f80850ad0

2334323444432 has 120 divisors (see below), whose sum is σ = 5507370220032. Its totient is φ = 954515923200.

The previous prime is 2334323444429. The next prime is 2334323444441. The reversal of 2334323444432 is 2344443234332.

It is a self number, because there is not a number n which added to its sum of digits gives 2334323444432.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1049198 + ... + 2401970.

Almost surely, 22334323444432 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 2334323444432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2753685110016).

2334323444432 is an abundant number, since it is smaller than the sum of its proper divisors (3173046775600).

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

2334323444432 is a wasteful number, since it uses less digits than its factorization.

2334323444432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1352897 (or 1352884 counting only the distinct ones).

The product of its digits is 1990656, while the sum is 41.

Adding to 2334323444432 its reverse (2344443234332), we get a palindrome (4678766678764).

The spelling of 2334323444432 in words is "two trillion, three hundred thirty-four billion, three hundred twenty-three million, four hundred forty-four thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 31 49 56 62 71 98 112 124 142 196 217 248 284 392 434 496 497 568 784 868 994 1136 1519 1736 1988 2201 3038 3472 3479 3976 4402 6076 6958 7952 8804 12152 13916 15407 17608 24304 27832 30814 35216 55664 61628 107849 123256 215698 246512 431396 862792 1352773 1725584 2705546 5411092 9469411 10822184 18938822 21644368 37877644 41935963 66285877 75755288 83871926 96046883 132571754 151510576 167743852 192093766 265143508 293551741 335487704 384187532 530287016 587103482 670975408 672328181 768375064 1060574032 1174206964 1344656362 1536750128 2054862187 2348413928 2689312724 2977453373 4109724374 4696827856 4706297267 5378625448 5954906746 8219448748 9412594534 10757250896 11909813492 16438897496 18825189068 20842173611 23819626984 32877794992 37650378136 41684347222 47639253968 75300756272 83368694444 145895215277 166737388888 291790430554 333474777776 583580861108 1167161722216 2334323444432