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414142332303 = 37232293373937
BaseRepresentation
bin1100000011011001100…
…11100111110110001111
31110120222021212021210010
412001230303213312033
523241130414113203
6514130535244303
741630555512350
oct6015463476617
91416867767703
10414142332303
1114a700605a37
126831b519693
1330090592ccb
141608a529d27
15ab8d294303
hex606cce7d8f

414142332303 has 32 divisors (see below), whose sum is σ = 658800976896. Its totient is φ = 226264186368.

The previous prime is 414142332277. The next prime is 414142332319. The reversal of 414142332303 is 303233241414.

It is a happy number.

It is not a de Polignac number, because 414142332303 - 28 = 414142332047 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414142332323) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 920551 + ... + 1294487.

It is an arithmetic number, because the mean of its divisors is an integer number (20587530528).

Almost surely, 2414142332303 is an apocalyptic number.

414142332303 is a deficient number, since it is larger than the sum of its proper divisors (244658644593).

414142332303 is a wasteful number, since it uses less digits than its factorization.

414142332303 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 376263.

The product of its (nonzero) digits is 20736, while the sum is 30.

Adding to 414142332303 its reverse (303233241414), we get a palindrome (717375573717).

The spelling of 414142332303 in words is "four hundred fourteen billion, one hundred forty-two million, three hundred thirty-two thousand, three hundred three".

Divisors: 1 3 7 21 23 69 161 483 2293 6879 16051 48153 52739 158217 369173 373937 1107519 1121811 2617559 7852677 8600551 25801653 60203857 180611571 857437541 2572312623 6002062787 18006188361 19721063443 59163190329 138047444101 414142332303