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30742343136 = 2532791937001
BaseRepresentation
bin11100101000011000…
…101110110111100000
32221100111010211201100
4130220120232313200
51000430014440021
622042311034400
72135552414361
oct345030566740
987314124640
1030742343136
111204628445a
125b5b66ba00
132b8c10b6ab
1416b8c85b68
15beddb2626
hex72862ede0

30742343136 has 144 divisors (see below), whose sum is σ = 89001581760. Its totient is φ = 10063872000.

The previous prime is 30742343123. The next prime is 30742343141. The reversal of 30742343136 is 63134324703.

30742343136 is a `hidden beast` number, since 307 + 4 + 2 + 34 + 313 + 6 = 666.

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

It is a super-2 number, since 2×307423431362 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 30742343136.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4387636 + ... + 4394636.

It is an arithmetic number, because the mean of its divisors is an integer number (618066540).

Almost surely, 230742343136 is an apocalyptic number.

30742343136 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30742343136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44500790880).

30742343136 is an abundant number, since it is smaller than the sum of its proper divisors (58259238624).

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

30742343136 is a wasteful number, since it uses less digits than its factorization.

30742343136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7289 (or 7278 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 36.

Adding to 30742343136 its reverse (63134324703), we get a palindrome (93876667839).

The spelling of 30742343136 in words is "thirty billion, seven hundred forty-two million, three hundred forty-three thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 79 96 144 158 193 237 288 316 386 474 579 632 711 772 948 1158 1264 1422 1544 1737 1896 2316 2528 2844 3088 3474 3792 4632 5688 6176 6948 7001 7584 9264 11376 13896 14002 15247 18528 21003 22752 27792 28004 30494 42006 45741 55584 56008 60988 63009 84012 91482 112016 121976 126018 137223 168024 182964 224032 243952 252036 274446 336048 365928 487904 504072 548892 553079 672096 731856 1008144 1097784 1106158 1351193 1463712 1659237 2016288 2195568 2212316 2702386 3318474 4053579 4391136 4424632 4977711 5404772 6636948 8107158 8849264 9955422 10809544 12160737 13273896 16214316 17698528 19910844 21619088 24321474 26547792 32428632 39821688 43238176 48642948 53095584 64857264 79643376 97285896 106744247 129714528 159286752 194571792 213488494 320232741 389143584 426976988 640465482 853953976 960698223 1280930964 1707907952 1921396446 2561861928 3415815904 3842792892 5123723856 7685585784 10247447712 15371171568 30742343136