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2134412144312 = 237503384719697
BaseRepresentation
bin11111000011110100111…
…000001010111010111000
321120001021212000020202012
4133003310320022322320
5234432234002104222
64312311351425052
7310130502610640
oct37036470127270
97501255006665
102134412144312
11753221014278
122a57b6385188
13126374561786
147543dd15520
153a7c33781e2
hex1f0f4e0aeb8

2134412144312 has 64 divisors (see below), whose sum is σ = 4584257233920. Its totient is φ = 912645831168.

The previous prime is 2134412144287. The next prime is 2134412144321.

2134412144312 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 108352448 + ... + 108372144.

It is an arithmetic number, because the mean of its divisors is an integer number (71629019280).

Almost surely, 22134412144312 is an apocalyptic number.

It is an amenable number.

2134412144312 is an abundant number, since it is smaller than the sum of its proper divisors (2449845089608).

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

2134412144312 is a wasteful number, since it uses less digits than its factorization.

2134412144312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24060 (or 24056 counting only the distinct ones).

The product of its digits is 18432, while the sum is 32.

The spelling of 2134412144312 in words is "two trillion, one hundred thirty-four billion, four hundred twelve million, one hundred forty-four thousand, three hundred twelve".

Divisors: 1 2 4 7 8 14 28 56 503 1006 2012 3521 3847 4024 7042 7694 14084 15388 19697 26929 28168 30776 39394 53858 78788 107716 137879 157576 215432 275758 551516 1103032 1935041 3870082 7740164 9907591 13545287 15480328 19815182 27090574 39630364 54181148 69353137 75774359 79260728 108362296 138706274 151548718 277412548 303097436 530420513 554825096 606194872 1060841026 2121682052 4243364104 38114502577 76229005154 152458010308 266801518039 304916020616 533603036078 1067206072156 2134412144312