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4134033414 = 2327191919041
BaseRepresentation
bin1111011001101000…
…0101100000000110
3101200002220122201200
43312122011200012
531431303032124
61522114403330
7204305463360
oct36632054006
911602818650
104134033414
111831610545
12974590546
1350b620024
142b3083d30
15192dedbc9
hexf6685806

4134033414 has 96 divisors (see below), whose sum is σ = 10833039360. Its totient is φ = 1113004800.

The previous prime is 4134033413. The next prime is 4134033439. The reversal of 4134033414 is 4143304314.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4134033413) 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, 452734 + ... + 461774.

It is an arithmetic number, because the mean of its divisors is an integer number (112844160).

Almost surely, 24134033414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4134033414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5416519680).

4134033414 is an abundant number, since it is smaller than the sum of its proper divisors (6699005946).

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

4134033414 is a wasteful number, since it uses less digits than its factorization.

4134033414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9266 (or 9263 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 4134033414 is about 64296.4494665141. The cubic root of 4134033414 is about 1604.9370179379.

Adding to 4134033414 its reverse (4143304314), we get a palindrome (8277337728).

The spelling of 4134033414 in words is "four billion, one hundred thirty-four million, thirty-three thousand, four hundred fourteen".

Divisors: 1 2 3 6 7 9 14 18 19 21 38 42 57 63 114 126 133 171 191 266 342 382 399 573 798 1146 1197 1337 1719 2394 2674 3438 3629 4011 7258 8022 9041 10887 12033 18082 21774 24066 25403 27123 32661 50806 54246 63287 65322 76209 81369 126574 152418 162738 171779 189861 228627 343558 379722 457254 515337 569583 1030674 1139166 1202453 1546011 1726831 2404906 3092022 3453662 3607359 5180493 7214718 10360986 10822077 12087817 15541479 21644154 24175634 31082958 32809789 36263451 65619578 72526902 98429367 108790353 196858734 217580706 229668523 295288101 459337046 590576202 689005569 1378011138 2067016707 4134033414