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2430114131340 = 2232571928662009
BaseRepresentation
bin100011010111001110000…
…101101110110110001100
322121022112211110121002200
4203113032011232312030
5304303333204200330
65100213511321500
7340366331204250
oct43271605566614
98538484417080
102430114131340
1185767308a835
12332b80380290
1314820aab842c
14858922ca260
154332d546a60
hex235ce16ed8c

2430114131340 has 72 divisors (see below), whose sum is σ = 8424395659680. Its totient is φ = 555454658304.

The previous prime is 2430114131339. The next prime is 2430114131353. The reversal of 2430114131340 is 431314110342.

2430114131340 is a `hidden beast` number, since 2 + 4 + 301 + 1 + 4 + 1 + 313 + 40 = 666.

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, 964329745 + ... + 964332264.

Almost surely, 22430114131340 is an apocalyptic number.

2430114131340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2430114131340 is an abundant number, since it is smaller than the sum of its proper divisors (5994281528340).

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

2430114131340 is a wasteful number, since it uses less digits than its factorization.

2430114131340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1928662031 (or 1928662026 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 2430114131340 its reverse (431314110342), we get a palindrome (2861428241682).

The spelling of 2430114131340 in words is "two trillion, four hundred thirty billion, one hundred fourteen million, one hundred thirty-one thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 180 210 252 315 420 630 1260 1928662009 3857324018 5785986027 7714648036 9643310045 11571972054 13500634063 17357958081 19286620090 23143944108 27001268126 28929930135 34715916162 38573240180 40501902189 54002536252 57859860270 67503170315 69431832324 81003804378 86789790405 115719720540 121505706567 135006340630 162007608756 173579580810 202509510945 243011413134 270012681260 347159161620 405019021890 486022826268 607528532835 810038043780 1215057065670 2430114131340