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409071820343 = 10126343135731
BaseRepresentation
bin1011111001111101001…
…01001001111000110111
31110002212220210120222212
411330332211021320313
523200234341222333
6511531444444035
741361116046554
oct5747645117067
91402786716885
10409071820343
1114853941828a
12673453a961b
132c762c46884
1415b28d51a2b
15a993060448
hex5f3e949e37

409071820343 has 16 divisors (see below), whose sum is σ = 415666639872. Its totient is φ = 402534180000.

The previous prime is 409071820303. The next prime is 409071820379. The reversal of 409071820343 is 343028170904.

It is a cyclic number.

It is not a de Polignac number, because 409071820343 - 26 = 409071820279 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 409071820343.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (409071820303) 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, 11430788 + ... + 11466518.

It is an arithmetic number, because the mean of its divisors is an integer number (25979164992).

Almost surely, 2409071820343 is an apocalyptic number.

409071820343 is a deficient number, since it is larger than the sum of its proper divisors (6594819529).

409071820343 is a wasteful number, since it uses less digits than its factorization.

409071820343 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36526.

The product of its (nonzero) digits is 145152, while the sum is 41.

The spelling of 409071820343 in words is "four hundred nine billion, seventy-one million, eight hundred twenty thousand, three hundred forty-three".

Divisors: 1 101 263 431 26563 35731 43531 113353 3608831 9397253 11448653 15400061 949122553 1555406161 4050216043 409071820343