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406080046323 = 327193110943489
BaseRepresentation
bin1011110100011000100…
…00011100010011110011
31102211011102020201120200
411322030100130103303
523123122442440243
6510314532410243
741224020304410
oct5721420342363
91384142221520
10406080046323
11147243666176
126684b476983
132c3a71825a3
141592388b107
15a86a593ad3
hex5e8c41c4f3

406080046323 has 48 divisors (see below), whose sum is σ = 728398694400. Its totient is φ = 212741406720.

The previous prime is 406080046289. The next prime is 406080046327. The reversal of 406080046323 is 323640080604.

It is a happy number.

406080046323 is a `hidden beast` number, since 4 + 0 + 608 + 0 + 0 + 46 + 3 + 2 + 3 = 666.

It is not a de Polignac number, because 406080046323 - 210 = 406080045299 is a prime.

It is not an unprimeable number, because it can be changed into a prime (406080046327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5434638 + ... + 5508851.

It is an arithmetic number, because the mean of its divisors is an integer number (15174972800).

Almost surely, 2406080046323 is an apocalyptic number.

406080046323 is a deficient number, since it is larger than the sum of its proper divisors (322318648077).

406080046323 is a wasteful number, since it uses less digits than its factorization.

406080046323 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10943552 (or 10943549 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The spelling of 406080046323 in words is "four hundred six billion, eighty million, forty-six thousand, three hundred twenty-three".

Divisors: 1 3 7 9 19 21 31 57 63 93 133 171 217 279 399 589 651 1197 1767 1953 4123 5301 12369 37107 10943489 32830467 76604423 98491401 207926291 229813269 339248159 623778873 689439807 1017744477 1455484037 1871336619 2374737113 3053233431 4366452111 6445715021 7124211339 13099356333 19337145063 21372634017 45120005147 58011435189 135360015441 406080046323