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409332040117 = 711131724054301
BaseRepresentation
bin1011111010011100001…
…01110100000110110101
31110010120001110010102021
411331032011310012311
523201303000240432
6512013342113141
741400425635030
oct5751605640665
91403501403367
10409332040117
111486622a1250
12673b857b7b1
132c7a4b26b80
1415b5172c017
15a9aad12697
hex5f4e1741b5

409332040117 has 32 divisors (see below), whose sum is σ = 581921673984. Its totient is φ = 277105536000.

The previous prime is 409332040099. The next prime is 409332040127. The reversal of 409332040117 is 711040233904.

It is a cyclic number.

It is not a de Polignac number, because 409332040117 - 211 = 409332038069 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (409332040127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12010134 + ... + 12044167.

It is an arithmetic number, because the mean of its divisors is an integer number (18185052312).

Almost surely, 2409332040117 is an apocalyptic number.

It is an amenable number.

409332040117 is a deficient number, since it is larger than the sum of its proper divisors (172589633867).

409332040117 is a wasteful number, since it uses less digits than its factorization.

409332040117 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24054349.

The product of its (nonzero) digits is 18144, while the sum is 34.

The spelling of 409332040117 in words is "four hundred nine billion, three hundred thirty-two million, forty thousand, one hundred seventeen".

Divisors: 1 7 11 13 17 77 91 119 143 187 221 1001 1309 1547 2431 17017 24054301 168380107 264597311 312705913 408923117 1852181177 2188941391 2862461819 3439765043 4498154287 5316000521 24078355301 31487080009 37212003647 58476005731 409332040117