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2113434414 = 2327133493697
BaseRepresentation
bin111110111111000…
…0111001100101110
312110021210120222200
41331332013030232
513312014400124
6545414122330
7103241616240
oct17576071456
95407716880
102113434414
11994a84613
124ab9503a6
13278b12a10
14160986090
15c581cbc9
hex7df8732e

2113434414 has 96 divisors (see below), whose sum is σ = 5653502400. Its totient is φ = 555641856.

The previous prime is 2113434403. The next prime is 2113434437. The reversal of 2113434414 is 4144343112.

2113434414 is a `hidden beast` number, since 211 + 3 + 4 + 3 + 441 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 569814 + ... + 573510.

It is an arithmetic number, because the mean of its divisors is an integer number (58890650).

Almost surely, 22113434414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2113434414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2826751200).

2113434414 is an abundant number, since it is smaller than the sum of its proper divisors (3540067986).

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

2113434414 is a wasteful number, since it uses less digits than its factorization.

2113434414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4074 (or 4071 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

The square root of 2113434414 is about 45972.1047375471. The cubic root of 2113434414 is about 1283.3041291531.

Adding to 2113434414 its reverse (4144343112), we get a palindrome (6257777526).

The spelling of 2113434414 in words is "two billion, one hundred thirteen million, four hundred thirty-four thousand, four hundred fourteen".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 39 42 63 78 91 117 126 182 234 273 349 546 698 819 1047 1638 2094 2443 3141 3697 4537 4886 6282 7329 7394 9074 11091 13611 14658 21987 22182 25879 27222 31759 33273 40833 43974 48061 51758 63518 66546 77637 81666 95277 96122 144183 155274 190554 232911 285831 288366 336427 432549 465822 571662 672854 865098 1009281 1290253 2018562 2580506 3027843 3870759 6055686 7741518 9031771 11612277 16773289 18063542 23224554 27095313 33546578 50319867 54190626 81285939 100639734 117413023 150959601 162571878 234826046 301919202 352239069 704478138 1056717207 2113434414