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221431413103434 = 232149106977232973
BaseRepresentation
bin110010010110010000000100…
…101110000101101101001010
31002001000122011220101100120100
4302112100010232011231022
5213010413013223302214
62102540104210110230
764432614561064422
oct6226200456055512
91061018156340510
10221431413103434
1164611597aa0186
1220a02a8427b376
139672b7b22a641
143c974a2459482
151a8ee14c91309
hexc96404b85b4a

221431413103434 has 48 divisors (see below), whose sum is σ = 483439800753000. Its totient is φ = 73246514917248.

The previous prime is 221431413103427. The next prime is 221431413103451. The reversal of 221431413103434 is 434301314134122.

221431413103434 is a `hidden beast` number, since 2 + 2 + 143 + 141 + 31 + 0 + 343 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 75705399783225 + 145726013320209 = 8700885^2 + 12071703^2 .

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, 35749429 + ... + 41483544.

Almost surely, 2221431413103434 is an apocalyptic number.

221431413103434 is an abundant number, since it is smaller than the sum of its proper divisors (262008387649566).

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

221431413103434 is a wasteful number, since it uses less digits than its factorization.

221431413103434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77234199 (or 77234196 counting only the distinct ones).

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

Adding to 221431413103434 its reverse (434301314134122), we get a palindrome (655732727237556).

The spelling of 221431413103434 in words is "two hundred twenty-one trillion, four hundred thirty-one billion, four hundred thirteen million, one hundred three thousand, four hundred thirty-four".

Divisors: 1 2 3 6 9 18 149 298 447 894 1069 1341 2138 2682 3207 6414 9621 19242 159281 318562 477843 955686 1433529 2867058 77232973 154465946 231698919 463397838 695096757 1390193514 11507712977 23015425954 34523138931 69046277862 82562048137 103569416793 165124096274 207138833586 247686144411 495372288822 743058433233 1486116866466 12301745172413 24603490344826 36905235517239 73810471034478 110715706551717 221431413103434