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20132140313400 = 2335292936117941
BaseRepresentation
bin1001001001111011000010…
…00100100110101100111000
32122021121120110202221022020
410210331201010212230320
510114321110410012100
6110452324431354440
74145333130114663
oct444754104465470
978247513687266
1020132140313400
116461aa13aa315
1223118b1082a20
13b305b671c7ab
144d8587aa86da
1524da3aa765a0
hex124f61126b38

20132140313400 has 96 divisors (see below), whose sum is σ = 62476816071600. Its totient is φ = 5362791731200.

The previous prime is 20132140313353. The next prime is 20132140313419. The reversal of 20132140313400 is 431304123102.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17501571 + ... + 18616370.

Almost surely, 220132140313400 is an apocalyptic number.

20132140313400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20132140313400 is an abundant number, since it is smaller than the sum of its proper divisors (42344675758200).

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

20132140313400 is a wasteful number, since it uses less digits than its factorization.

20132140313400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36118889 (or 36118880 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 20132140313400 its reverse (431304123102), we get a palindrome (20563444436502).

The spelling of 20132140313400 in words is "twenty trillion, one hundred thirty-two billion, one hundred forty million, three hundred thirteen thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 929 1858 2787 3716 4645 5574 7432 9290 11148 13935 18580 22296 23225 27870 37160 46450 55740 69675 92900 111480 139350 185800 278700 557400 36117941 72235882 108353823 144471764 180589705 216707646 288943528 361179410 433415292 541769115 722358820 866830584 902948525 1083538230 1444717640 1805897050 2167076460 2708845575 3611794100 4334152920 5417691150 7223588200 10835382300 21670764600 33553567189 67107134378 100660701567 134214268756 167767835945 201321403134 268428537512 335535671890 402642806268 503303507835 671071343780 805285612536 838839179725 1006607015670 1342142687560 1677678359450 2013214031340 2516517539175 3355356718900 4026428062680 5033035078350 6710713437800 10066070156700 20132140313400