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30641466141 = 321113229103967
BaseRepresentation
bin11100100010010111…
…111010101100011101
32221002110022202111100
4130202113322230131
51000223203404031
622024304543313
72133216110346
oct344227725435
987073282440
1030641466141
1111aa4344040
125b31921b39
132b7424b970
1416a97070cd
15be50d7de6
hex7225fab1d

30641466141 has 48 divisors (see below), whose sum is σ = 52225205760. Its totient is φ = 17067058560.

The previous prime is 30641466127. The next prime is 30641466161. The reversal of 30641466141 is 14166414603.

30641466141 is a `hidden beast` number, since 3 + 0 + 641 + 4 + 6 + 6 + 1 + 4 + 1 = 666.

It is not a de Polignac number, because 30641466141 - 25 = 30641466109 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 30641466096 and 30641466105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30641466101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 242740 + ... + 346706.

It is an arithmetic number, because the mean of its divisors is an integer number (1088025120).

Almost surely, 230641466141 is an apocalyptic number.

It is an amenable number.

30641466141 is a deficient number, since it is larger than the sum of its proper divisors (21583739619).

30641466141 is a wasteful number, since it uses less digits than its factorization.

30641466141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104226 (or 104223 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 30641466141 in words is "thirty billion, six hundred forty-one million, four hundred sixty-six thousand, one hundred forty-one".

Divisors: 1 3 9 11 13 33 39 99 117 143 229 429 687 1287 2061 2519 2977 7557 8931 22671 26793 32747 98241 103967 294723 311901 935703 1143637 1351571 3430911 4054713 10292733 12164139 14867281 23808443 44601843 71425329 133805529 214275987 261892873 309509759 785678619 928529277 2357035857 2785587831 3404607349 10213822047 30641466141