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404337074941 = 97109190120117
BaseRepresentation
bin1011110001001000101…
…11100010001011111101
31102122122221112121100001
411320210113202023331
523111040242344231
6505425550434301
741132564300242
oct5704427421375
91378587477301
10404337074941
11146529812a58
1266443802991
132c18a03bb87
14157da1bb5c9
15a7b7552b61
hex5e245e22fd

404337074941 has 16 divisors (see below), whose sum is σ = 412490620080. Its totient is φ = 396269107200.

The previous prime is 404337074903. The next prime is 404337074951. The reversal of 404337074941 is 149470733404.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 41638034916 + 362699040025 = 204054^2 + 602245^2 .

It is a cyclic number.

It is not a de Polignac number, because 404337074941 - 215 = 404337042173 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 404337074891 and 404337074900.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (404337074951) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20089215 + ... + 20109331.

It is an arithmetic number, because the mean of its divisors is an integer number (25780663755).

Almost surely, 2404337074941 is an apocalyptic number.

It is an amenable number.

404337074941 is a deficient number, since it is larger than the sum of its proper divisors (8153545139).

404337074941 is a wasteful number, since it uses less digits than its factorization.

404337074941 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22224.

The product of its (nonzero) digits is 1016064, while the sum is 46.

The spelling of 404337074941 in words is "four hundred four billion, three hundred thirty-seven million, seventy-four thousand, nine hundred forty-one".

Divisors: 1 97 109 1901 10573 20117 184397 207209 1951349 2192753 20099273 38242417 212697041 3709514449 4168423453 404337074941