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421440121305 = 325723137424597
BaseRepresentation
bin1100010000111111100…
…10011110100111011001
31111021210212221101021200
412020133302132213121
523401102132340210
6521335032224413
742306451632210
oct6103762364731
91437725841250
10421440121305
11152805a63915
126981753b109
13309844a1558
141657d842077
15ae68cd20c0
hex621fc9e9d9

421440121305 has 96 divisors (see below), whose sum is σ = 877511591424. Its totient is φ = 182936337408.

The previous prime is 421440121301. The next prime is 421440121327. The reversal of 421440121305 is 503121044124.

421440121305 is a `hidden beast` number, since 4 + 2 + 1 + 440 + 1 + 213 + 0 + 5 = 666.

It is not a de Polignac number, because 421440121305 - 22 = 421440121301 is a prime.

It is a super-2 number, since 2×4214401213052 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (421440121301) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 780267 + ... + 1204863.

It is an arithmetic number, because the mean of its divisors is an integer number (9140745744).

Almost surely, 2421440121305 is an apocalyptic number.

421440121305 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

421440121305 is an abundant number, since it is smaller than the sum of its proper divisors (456071470119).

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

421440121305 is a wasteful number, since it uses less digits than its factorization.

421440121305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 424775 (or 424772 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 421440121305 its reverse (503121044124), we get a palindrome (924561165429).

The spelling of 421440121305 in words is "four hundred twenty-one billion, four hundred forty million, one hundred twenty-one thousand, three hundred five".

Divisors: 1 3 5 7 9 15 21 23 35 45 63 69 105 115 137 161 207 315 345 411 483 685 805 959 1035 1233 1449 2055 2415 2877 3151 4795 6165 7245 8631 9453 14385 15755 22057 28359 43155 47265 66171 110285 141795 198513 330855 424597 992565 1273791 2122985 2972179 3821373 6368955 8916537 9765731 14860895 19106865 26749611 29297193 44582685 48828655 58169789 68360117 87891579 133748055 146485965 174509367 205080351 290848945 341800585 407188523 439457895 523528101 615241053 872546835 1025401755 1221565569 1337905147 2035942615 2617640505 3076205265 3664696707 4013715441 6107827845 6689525735 9365336029 12041146323 18323483535 20068577205 28096008087 46826680145 60205731615 84288024261 140480040435 421440121305