Search a number
-
+
2311453386438 = 237533271317453
BaseRepresentation
bin100001101000101101010…
…110111010011011000110
322011222021011100012012220
4201220231112322123012
5300332324031331223
64525511135553210
7325665653415540
oct41505526723306
98158234305186
102311453386438
118113111a4909
12313b8508b806
13139c7a201801
147dc36ba2690
15401d5e376e3
hex21a2d5ba6c6

2311453386438 has 64 divisors (see below), whose sum is σ = 5384669985792. Its totient is φ = 647754456960.

The previous prime is 2311453386433. The next prime is 2311453386443. The reversal of 2311453386438 is 8346833541132.

It is a happy number.

2311453386438 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2311453386433) and next prime (2311453386443).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2311453386433) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7122520 + ... + 7439972.

It is an arithmetic number, because the mean of its divisors is an integer number (84135468528).

Almost surely, 22311453386438 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2311453386438, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2692334992896).

2311453386438 is an abundant number, since it is smaller than the sum of its proper divisors (3073216599354).

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

2311453386438 is a wasteful number, since it uses less digits than its factorization.

2311453386438 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320789.

The product of its digits is 4976640, while the sum is 51.

The spelling of 2311453386438 in words is "two trillion, three hundred eleven billion, four hundred fifty-three million, three hundred eighty-six thousand, four hundred thirty-eight".

Divisors: 1 2 3 6 7 14 21 42 53 106 159 318 371 742 1113 2226 3271 6542 9813 19626 22897 45794 68691 137382 173363 317453 346726 520089 634906 952359 1040178 1213541 1904718 2222171 2427082 3640623 4444342 6666513 7281246 13333026 16825009 33650018 50475027 100950054 117775063 235550126 353325189 706650378 1038388763 2076777526 3115166289 6230332578 7268721341 14537442682 21806164023 43612328046 55034604439 110069208878 165103813317 330207626634 385242231073 770484462146 1155726693219 2311453386438