Search a number
-
+
30041472985056 = 2532138023897699
BaseRepresentation
bin1101101010010100100110…
…10100110110011111100000
310221100221021220102200121200
412311022103110312133200
512414144414041010211
6143520510121121200
76220265464061121
oct665122324663740
9127327256380550
1030041472985056
119632576358615
1234522a4629200
13139bb8b7156b0
1475c02d428048
153716aac70b56
hex1b52935367e0

30041472985056 has 72 divisors (see below), whose sum is σ = 92002011028200. Its totient is φ = 9243530148096.

The previous prime is 30041472984911. The next prime is 30041472985057. The reversal of 30041472985056 is 65058927414003.

It is a happy number.

30041472985056 is a `hidden beast` number, since 3 + 0 + 0 + 4 + 1 + 47 + 2 + 98 + 505 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×300414729850562 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 30041472984993 and 30041472985011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30041472985057) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4011945106 + ... + 4011952593.

It is an arithmetic number, because the mean of its divisors is an integer number (1277805708725).

It is a 1-persistent number, because it is pandigital, but 2⋅30041472985056 = 60082945970112 is not.

Almost surely, 230041472985056 is an apocalyptic number.

30041472985056 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

30041472985056 is an abundant number, since it is smaller than the sum of its proper divisors (61960538043144).

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

30041472985056 is a wasteful number, since it uses less digits than its factorization.

30041472985056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8023897728 (or 8023897717 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 30041472985056 in words is "thirty trillion, forty-one billion, four hundred seventy-two million, nine hundred eighty-five thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 72 78 96 104 117 144 156 208 234 288 312 416 468 624 936 1248 1872 3744 8023897699 16047795398 24071693097 32095590796 48143386194 64191181592 72215079291 96286772388 104310670087 128382363184 144430158582 192573544776 208621340174 256764726368 288860317164 312932010261 385147089552 417242680348 577720634328 625864020522 770294179104 834485360696 938796030783 1155441268656 1251728041044 1668970721392 1877592061566 2310882537312 2503456082088 3337941442784 3755184123132 5006912164176 7510368246264 10013824328352 15020736492528 30041472985056