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414422030133 = 3337439647369
BaseRepresentation
bin1100000011111010111…
…10100101011100110101
31110121200210011102002000
412001331132211130311
523242214014431013
6514214410205513
741640523064046
oct6017536453465
91417623142060
10414422030133
1114a834483071
1268399123899
1330106502c97
14160b57368cd
15aba7ae2973
hex607d7a5735

414422030133 has 32 divisors (see below), whose sum is σ = 645216105600. Its totient is φ = 262562767488.

The previous prime is 414422030131. The next prime is 414422030149. The reversal of 414422030133 is 331030224414.

414422030133 is a `hidden beast` number, since 4 + 1 + 442 + 203 + 0 + 13 + 3 = 666.

It is not a de Polignac number, because 414422030133 - 21 = 414422030131 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 414422030097 and 414422030106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414422030131) 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, 4780728 + ... + 4866641.

It is an arithmetic number, because the mean of its divisors is an integer number (20163003300).

Almost surely, 2414422030133 is an apocalyptic number.

414422030133 is a gapful number since it is divisible by the number (43) formed by its first and last digit.

It is an amenable number.

414422030133 is a deficient number, since it is larger than the sum of its proper divisors (230794075467).

414422030133 is a wasteful number, since it uses less digits than its factorization.

414422030133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9647458 (or 9647452 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 414422030133 its reverse (331030224414), we get a palindrome (745452254547).

The spelling of 414422030133 in words is "four hundred fourteen billion, four hundred twenty-two million, thirty thousand, one hundred thirty-three".

Divisors: 1 3 9 27 37 43 111 129 333 387 999 1161 1591 4773 14319 42957 9647369 28942107 86826321 260478963 356952653 414836867 1070857959 1244510601 3212573877 3733531803 9637721631 11200595409 15348964079 46046892237 138140676711 414422030133