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401840620281 = 32131216132
BaseRepresentation
bin1011101100011111001…
…00010100001011111001
31102102012222000120100100
411312033210110023321
523040432144322111
6504334131030013
741013661625622
oct5661744241371
91372188016310
10401840620281
11145468610691
1265a6773b309
132bb7ca81379
1415640810a49
15a6bd2c7756
hex5d8f9142f9

401840620281 has 27 divisors (see below), whose sum is σ = 585263928847. Its totient is φ = 265683940080.

The previous prime is 401840620273. The next prime is 401840620301. The reversal of 401840620281 is 182026048104.

The square root of 401840620281 is 633909.

It is a perfect power (a square), and thus also a powerful number.

401840620281 is a `hidden beast` number, since 4 + 0 + 1 + 8 + 4 + 0 + 620 + 28 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 251076155625 + 150764464656 = 501075^2 + 388284^2 .

It is not a de Polignac number, because 401840620281 - 23 = 401840620273 is a prime.

It is a super-2 number, since 2×4018406202812 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (401840620781) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 249125431 + ... + 249127043.

Almost surely, 2401840620281 is an apocalyptic number.

401840620281 is the 633909-th square number.

401840620281 is the 316955-th centered octagonal number.

It is an amenable number.

401840620281 is a deficient number, since it is larger than the sum of its proper divisors (183423308566).

401840620281 is an frugal number, since it uses more digits than its factorization.

401840620281 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3494 (or 1747 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

Multiplying 401840620281 by its sum of digits (36), we get a square (14466262330116 = 38034542).

Adding to 401840620281 its reverse (182026048104), we get a palindrome (583866668385).

It can be divided in two parts, 401840 and 620281, that added together give a square (1022121 = 10112).

The spelling of 401840620281 in words is "four hundred one billion, eight hundred forty million, six hundred twenty thousand, two hundred eighty-one".

Divisors: 1 3 9 131 393 1179 1613 4839 14517 17161 51483 154449 211303 633909 1901727 2601769 7805307 23415921 27680693 83042079 249126237 340831739 1022495217 3067485651 44648957809 133946873427 401840620281