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413231000132314 = 272131013211456861
BaseRepresentation
bin101110111110101001101011…
…0111110010001101011011010
32000012010111102220021012220101
41131331103112332101223122
5413130334042013213224
64022511411210050014
7153016645256301400
oct13575232676215332
92005114386235811
10413231000132314
1110a739312734851
123a41ab29a1990a
1314976692b728a0
1474086b693d470
1532b914756e044
hex177d4d6f91ada

413231000132314 has 48 divisors (see below), whose sum is σ = 784199228218056. Its totient is φ = 161857425744000.

The previous prime is 413231000132231. The next prime is 413231000132333.

413231000132314 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 403599380987089 + 9631619145225 = 20089783^2 + 3103485^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1605599757 + ... + 1605857104.

Almost surely, 2413231000132314 is an apocalyptic number.

413231000132314 is a deficient number, since it is larger than the sum of its proper divisors (370968228085742).

413231000132314 is a wasteful number, since it uses less digits than its factorization.

413231000132314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3211456991 (or 3211456984 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 28.

It can be divided in two parts, 413231000 and 132314, that added together give a palindrome (413363314).

The spelling of 413231000132314 in words is "four hundred thirteen trillion, two hundred thirty-one billion, one hundred thirty-two thousand, three hundred fourteen".

Divisors: 1 2 7 13 14 26 49 91 98 101 182 202 637 707 1274 1313 1414 2626 4949 9191 9898 18382 64337 128674 3211456861 6422913722 22480198027 41748939193 44960396054 83497878386 157361386189 292242574351 314722772378 324357142961 584485148702 648714285922 2045698020457 2270500000727 4091396040914 4216642858493 4541000001454 8433285716986 15893500005089 29516500009451 31787000010178 59033000018902 206615500066157 413231000132314