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5130774743040 = 21132555672469
BaseRepresentation
bin100101010101001101000…
…0000011000100000000000
3200011111102111212101200200
41022222122000120200000
51133030311313234130
614525013445045200
71036454244510432
oct112523200304000
920144374771620
105130774743040
1116a8a496465a1
126aa4660b6800
132b2aa361781b
1413a48bac4652
158d6e35bd760
hex4aa9a018800

5130774743040 has 144 divisors (see below), whose sum is σ = 17782343642700. Its totient is φ = 1368206573568.

The previous prime is 5130774742999. The next prime is 5130774743041. The reversal of 5130774743040 is 403474770315.

It is a happy number.

5130774743040 is a `hidden beast` number, since 5 + 130 + 7 + 7 + 47 + 430 + 40 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 5121205208064 + 9569534976 = 2263008^2 + 97824^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (5130774743041) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 27744075 + ... + 27928394.

Almost surely, 25130774743040 is an apocalyptic number.

It is an amenable number.

5130774743040 is an abundant number, since it is smaller than the sum of its proper divisors (12651568899660).

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

5130774743040 is a wasteful number, since it uses less digits than its factorization.

5130774743040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55672502 (or 55672479 counting only the distinct ones).

The product of its (nonzero) digits is 987840, while the sum is 45.

The spelling of 5130774743040 in words is "five trillion, one hundred thirty billion, seven hundred seventy-four million, seven hundred forty-three thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 256 288 320 360 384 480 512 576 640 720 768 960 1024 1152 1280 1440 1536 1920 2048 2304 2560 2880 3072 3840 4608 5120 5760 6144 7680 9216 10240 11520 15360 18432 23040 30720 46080 92160 55672469 111344938 167017407 222689876 278362345 334034814 445379752 501052221 556724690 668069628 835087035 890759504 1002104442 1113449380 1336139256 1670174070 1781519008 2004208884 2226898760 2505261105 2672278512 3340348140 3563038016 4008417768 4453797520 5010522210 5344557024 6680696280 7126076032 8016835536 8907595040 10021044420 10689114048 13361392560 14252152064 16033671072 17815190080 20042088840 21378228096 26722785120 28504304128 32067342144 35630380160 40084177680 42756456192 53445570240 57008608256 64134684288 71260760320 80168355360 85512912384 106891140480 114017216512 128269368576 142521520640 160336710720 171025824768 213782280960 256538737152 285043041280 320673421440 342051649536 427564561920 513077474304 570086082560 641346842880 855129123840 1026154948608 1282693685760 1710258247680 2565387371520 5130774743040