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402240042405 = 32517701750077
BaseRepresentation
bin1011101101001110101…
…11111111010110100101
31102110020210121022111100
411312213113333112211
523042241422324110
6504441520030313
741026611642615
oct5664727772645
91373223538440
10402240042405
11145653021413
1265b59462399
132bc1474c916
141567b8a4a45
15a6e33c4bc0
hex5da75ff5a5

402240042405 has 48 divisors (see below), whose sum is σ = 739282877424. Its totient is φ = 201620428800.

The previous prime is 402240042401. The next prime is 402240042419. The reversal of 402240042405 is 504240042204.

It can be written as a sum of positive squares in 8 ways, for example, as 151004519649 + 251235522756 = 388593^2 + 501234^2 .

It is not a de Polignac number, because 402240042405 - 22 = 402240042401 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (402240042401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 161227 + ... + 911303.

It is an arithmetic number, because the mean of its divisors is an integer number (15401726613).

Almost surely, 2402240042405 is an apocalyptic number.

402240042405 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

402240042405 is a deficient number, since it is larger than the sum of its proper divisors (337042835019).

402240042405 is a wasteful number, since it uses less digits than its factorization.

402240042405 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 750806 (or 750803 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 27.

Adding to 402240042405 its reverse (504240042204), we get a palindrome (906480084609).

The spelling of 402240042405 in words is "four hundred two billion, two hundred forty million, forty-two thousand, four hundred five".

Divisors: 1 3 5 9 15 17 45 51 85 153 255 701 765 2103 3505 6309 10515 11917 31545 35751 59585 107253 178755 536265 750077 2250231 3750385 6750693 11251155 12751309 33753465 38253927 63756545 114761781 191269635 525803977 573808905 1577411931 2629019885 4732235793 7887059655 8938667609 23661178965 26816002827 44693338045 80448008481 134080014135 402240042405