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30414691104 = 2537192382103
BaseRepresentation
bin11100010100110110…
…110101101100100000
32220111122121101121220
4130110312311230200
5444242130103404
621550004215040
72124463415550
oct342466655440
986448541556
1030414691104
1111998333656
125a8999a480
132b3927b555
141687555160
15bd02404d9
hex714db5b20

30414691104 has 96 divisors (see below), whose sum is σ = 96046433280. Its totient is φ = 8232544512.

The previous prime is 30414691103. The next prime is 30414691127. The reversal of 30414691104 is 40119641403.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (30414691103) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1178284 + ... + 1203819.

It is an arithmetic number, because the mean of its divisors is an integer number (1000483680).

Almost surely, 230414691104 is an apocalyptic number.

It is an amenable number.

30414691104 is an abundant number, since it is smaller than the sum of its proper divisors (65631742176).

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

30414691104 is a wasteful number, since it uses less digits than its factorization.

30414691104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2382142 (or 2382134 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The spelling of 30414691104 in words is "thirty billion, four hundred fourteen million, six hundred ninety-one thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 32 38 42 48 56 57 76 84 96 112 114 133 152 168 224 228 266 304 336 399 456 532 608 672 798 912 1064 1596 1824 2128 3192 4256 6384 12768 2382103 4764206 7146309 9528412 14292618 16674721 19056824 28585236 33349442 38113648 45259957 50024163 57170472 66698884 76227296 90519914 100048326 114340944 133397768 135779871 181039828 200096652 228681888 266795536 271559742 316819699 362079656 400193304 533591072 543119484 633639398 724159312 800386608 950459097 1086238968 1267278796 1448318624 1600773216 1900918194 2172477936 2534557592 3801836388 4344955872 5069115184 7603672776 10138230368 15207345552 30414691104