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30441980853468 = 22321496478771621
BaseRepresentation
bin1101110101111110100110…
…11101000111110011011100
310222210020001222122110002200
412322333103131013303130
512442230134044302333
6144424504122451500
76261234443560062
oct672772335076334
9128706058573080
1030441980853468
11977740a630a78
1234b7a39963b90
1313ca888332392
14773584c30032
1537bcec038c13
hex1bafd3747cdc

30441980853468 has 72 divisors (see below), whose sum is σ = 77586750914400. Its totient is φ = 10063644539520.

The previous prime is 30441980853371. The next prime is 30441980853469. The reversal of 30441980853468 is 86435808914403.

30441980853468 is a `hidden beast` number, since 3 + 0 + 4 + 4 + 1 + 98 + 0 + 8 + 534 + 6 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30441980853469) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 915303 + ... + 7856318.

It is an arithmetic number, because the mean of its divisors is an integer number (1077593762700).

Almost surely, 230441980853468 is an apocalyptic number.

It is an amenable number.

30441980853468 is an abundant number, since it is smaller than the sum of its proper divisors (47144770060932).

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

30441980853468 is a wasteful number, since it uses less digits than its factorization.

30441980853468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8772427 (or 8772422 counting only the distinct ones).

The product of its (nonzero) digits is 79626240, while the sum is 63.

The spelling of 30441980853468 in words is "thirty trillion, four hundred forty-one billion, nine hundred eighty million, eight hundred fifty-three thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 149 298 447 596 647 894 1294 1341 1788 1941 2588 2682 3882 5364 5823 7764 11646 23292 96403 192806 289209 385612 578418 867627 1156836 1735254 3470508 8771621 17543242 26314863 35086484 52629726 78944589 105259452 157889178 315778356 1306971529 2613943058 3920914587 5227886116 5675238787 7841829174 11350477574 11762743761 15683658348 17025716361 22700955148 23525487522 34051432722 47050975044 51077149083 68102865444 102154298166 204308596332 845610579263 1691221158526 2536831737789 3382442317052 5073663475578 7610495213367 10147326951156 15220990426734 30441980853468