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14192671689 = 3472312612
BaseRepresentation
bin11010011011111001…
…01111101111001001
31100122010000102110000
431031330233233021
5213031310443224
610304154113213
71011464501400
oct151574575711
940563012400
1014192671689
116023436339
12290111b809
1314524cb6b1
14988d0c637
15580ee10c9
hex34df2fbc9

14192671689 has 135 divisors (see below), whose sum is σ = 25908711543. Its totient is φ = 7719818400.

The previous prime is 14192671679. The next prime is 14192671721. The reversal of 14192671689 is 98617629141.

The square root of 14192671689 is 119133.

It is a perfect power (a square), and thus also a powerful number.

14192671689 is a `hidden beast` number, since 1 + 419 + 2 + 67 + 168 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 461519289 + 13731152400 = 21483^2 + 117180^2 .

It is not a de Polignac number, because 14192671689 - 213 = 14192663497 is a prime.

It is a super-2 number, since 2×141926716892 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (14192671679) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 232666719 + ... + 232666779.

Almost surely, 214192671689 is an apocalyptic number.

14192671689 is the 119133-rd square number.

14192671689 is the 59567-th centered octagonal number.

It is an amenable number.

14192671689 is a deficient number, since it is larger than the sum of its proper divisors (11716039854).

14192671689 is an frugal number, since it uses more digits than its factorization.

14192671689 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 102 counting only the distinct ones).

The product of its digits is 1306368, while the sum is 54.

The spelling of 14192671689 in words is "fourteen billion, one hundred ninety-two million, six hundred seventy-one thousand, six hundred eighty-nine".

Divisors: 1 3 7 9 21 27 31 49 61 63 81 93 147 183 189 217 279 427 441 549 567 651 837 961 1281 1323 1519 1647 1891 1953 2511 2883 2989 3721 3843 3969 4557 4941 5673 5859 6727 8649 8967 11163 11529 13237 13671 17019 17577 20181 25947 26047 26901 33489 34587 39711 41013 47089 51057 58621 60543 77841 78141 80703 92659 100467 115351 119133 123039 141267 153171 175863 181629 182329 234423 242109 277977 301401 346053 357399 410347 423801 527589 544887 546987 703269 807457 833931 1038159 1072197 1231041 1271403 1582767 1640961 2109807 2422371 2501793 2872429 3114477 3575881 3693123 3814209 4748301 4922883 5652199 7267113 7505379 8617287 9343431 10727643 11079369 14768649 16956597 21801339 25031167 25851861 32182929 33238107 50869791 65404017 75093501 77555583 96548787 152609373 175218169 225280503 232666749 289646361 457828119 525654507 675841509 1576963521 2027524527 4730890563 14192671689