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4234443134131 = 7217671631912437
BaseRepresentation
bin111101100111101000011…
…110101001010010110011
3112222210211121210220000001
4331213220132221102303
51023334114420243011
613001135404010431
7614633306524600
oct75475036512263
915883747726001
104234443134131
1113928a9837281
125847b6530a17
132493c9b65c42
14108d3b9b16a7
15752331627c1
hex3d9e87a94b3

4234443134131 has 96 divisors (see below), whose sum is σ = 5355931963392. Its totient is φ = 3325516508160.

The previous prime is 4234443134111. The next prime is 4234443134161. The reversal of 4234443134131 is 1314313444324.

It is a de Polignac number, because none of the positive numbers 2k-4234443134131 is a prime.

It is a super-2 number, since 2×42344431341312 (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4234443134111) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1737562645 + ... + 1737565081.

It is an arithmetic number, because the mean of its divisors is an integer number (55790957952).

Almost surely, 24234443134131 is an apocalyptic number.

4234443134131 is a deficient number, since it is larger than the sum of its proper divisors (1121488829261).

4234443134131 is a wasteful number, since it uses less digits than its factorization.

4234443134131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2889 (or 2882 counting only the distinct ones).

The product of its digits is 165888, while the sum is 37.

Adding to 4234443134131 its reverse (1314313444324), we get a palindrome (5548756578455).

The spelling of 4234443134131 in words is "four trillion, two hundred thirty-four billion, four hundred forty-three million, one hundred thirty-four thousand, one hundred thirty-one".

Divisors: 1 7 17 49 67 119 163 191 469 833 1139 1141 1337 2437 2771 3247 3283 7973 7987 9359 10921 12797 17059 19397 22729 31133 41429 55811 76447 89579 119413 135779 159103 163279 185657 217549 217931 290003 397231 465467 529261 535129 627053 1142953 1299599 1522843 1525517 2030021 2085911 2775743 2780617 3258269 3704827 6752927 7912939 8000671 9097193 10659901 14601377 19430201 19464319 22807883 25933789 26614477 31186289 35460487 47270489 55390573 75871121 102209639 136011407 186301339 218304023 248223409 330893423 387734011 452446109 530166913 531097847 1289809057 1304109373 1528128161 1737563863 3167122763 3711168391 3717684929 5083365107 9028663399 22169859341 25978178737 35583555749 63200643793 86417206819 249084890243 604920447733 4234443134131