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30114102144 = 273711203163
BaseRepresentation
bin11100000010111100…
…001011101110000000
32212201200222220002110
4130002330023232000
5443133202232034
621500105415320
72114153434110
oct340274135600
985650886073
1030114102144
1111853697725
125a0519a540
132abbc05669
14165966b040
15bb3b66de9
hex702f0bb80

30114102144 has 64 divisors (see below), whose sum is σ = 91417818240. Its totient is φ = 8604028416.

The previous prime is 30114102143. The next prime is 30114102167. The reversal of 30114102144 is 44120141103.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 30114102144.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30114102143) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5598894 + ... + 5604269.

It is an arithmetic number, because the mean of its divisors is an integer number (1428403410).

Almost surely, 230114102144 is an apocalyptic number.

It is an amenable number.

30114102144 is an abundant number, since it is smaller than the sum of its proper divisors (61303716096).

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

30114102144 is a wasteful number, since it uses less digits than its factorization.

30114102144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11203187 (or 11203175 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 30114102144 its reverse (44120141103), we get a palindrome (74234243247).

The spelling of 30114102144 in words is "thirty billion, one hundred fourteen million, one hundred two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 336 384 448 672 896 1344 2688 11203163 22406326 33609489 44812652 67218978 78422141 89625304 134437956 156844282 179250608 235266423 268875912 313688564 358501216 470532846 537751824 627377128 717002432 941065692 1075503648 1254754256 1434004864 1882131384 2151007296 2509508512 3764262768 4302014592 5019017024 7528525536 10038034048 15057051072 30114102144