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6414465141 = 337174719427
BaseRepresentation
bin1011111100101010…
…01111100001110101
3121120000221120222000
411332111033201311
5101114100341031
62540300125513
7314646024360
oct57625174165
917500846860
106414465141
1127a1886667
1212b0236899
137b2c03406
1444bc9b0d7
152782073e6
hex17e54f875

6414465141 has 32 divisors (see below), whose sum is σ = 10867246080. Its totient is φ = 3663121968.

The previous prime is 6414465131. The next prime is 6414465149. The reversal of 6414465141 is 1415644146.

6414465141 is a `hidden beast` number, since 641 + 4 + 4 + 6 + 5 + 1 + 4 + 1 = 666.

It is not a de Polignac number, because 6414465141 - 29 = 6414464629 is a prime.

It is a super-2 number, since 2×64144651412 = 82290726090208299762, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 6414465096 and 6414465105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6414465149) 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, 320470 + ... + 339896.

It is an arithmetic number, because the mean of its divisors is an integer number (339601440).

Almost surely, 26414465141 is an apocalyptic number.

It is an amenable number.

6414465141 is a deficient number, since it is larger than the sum of its proper divisors (4452780939).

6414465141 is a wasteful number, since it uses less digits than its factorization.

6414465141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21190 (or 21184 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The square root of 6414465141 is about 80090.3561048395. The cubic root of 6414465141 is about 1858.0332567085.

The spelling of 6414465141 in words is "six billion, four hundred fourteen million, four hundred sixty-five thousand, one hundred forty-one".

Divisors: 1 3 7 9 21 27 63 189 1747 5241 12229 15723 19427 36687 47169 58281 110061 135989 174843 330183 407967 524529 1223901 3671703 33938969 101816907 237572783 305450721 712718349 916352163 2138155047 6414465141