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14190491466 = 2335334914207
BaseRepresentation
bin11010011011101000…
…11011011101001010
31100121221220122202000
431031310123131022
5213030231211331
610304035251430
71011440121144
oct151564333512
940557818660
1014190491466
1160221872a8
122900449b76
131451c17218
14988901c94
15580c100e6
hex34dd1b74a

14190491466 has 64 divisors (see below), whose sum is σ = 32223744000. Its totient is φ = 4627291968.

The previous prime is 14190491461. The next prime is 14190491473. The reversal of 14190491466 is 66419409141.

14190491466 is a `hidden beast` number, since 14 + 1 + 90 + 4 + 91 + 466 = 666.

It is not an unprimeable number, because it can be changed into a prime (14190491461) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 991735 + ... + 1005941.

It is an arithmetic number, because the mean of its divisors is an integer number (503496000).

Almost surely, 214190491466 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14190491466, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16111872000).

14190491466 is an abundant number, since it is smaller than the sum of its proper divisors (18033252534).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

14190491466 is a wasteful number, since it uses less digits than its factorization.

14190491466 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14620 (or 14614 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 14190491466 in words is "fourteen billion, one hundred ninety million, four hundred ninety-one thousand, four hundred sixty-six".

Divisors: 1 2 3 6 9 18 27 53 54 106 159 318 349 477 698 954 1047 1431 2094 2862 3141 6282 9423 14207 18497 18846 28414 36994 42621 55491 85242 110982 127863 166473 255726 332946 383589 499419 752971 767178 998838 1505942 2258913 4517826 4958243 6776739 9916486 13553478 14874729 20330217 29749458 40660434 44624187 89248374 133872561 262786879 267745122 525573758 788360637 1576721274 2365081911 4730163822 7095245733 14190491466