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14300809248492 = 22331322351333271
BaseRepresentation
bin1101000000011010101010…
…1001111011111011101100
31212122010212222121001202000
43100012222221323323230
53333301024131422432
650225411233132300
73004125245646114
oct320065251737354
955563788531660
1014300809248492
114613a36aaa298
12172b7140ba090
137c9739623200
1437623cc66044
1519bee465e57c
hexd01aaa7beec

14300809248492 has 144 divisors (see below), whose sum is σ = 40164768322560. Its totient is φ = 4398364152000.

The previous prime is 14300809248457. The next prime is 14300809248511. The reversal of 14300809248492 is 29484290800341.

It is a happy number.

14300809248492 is a `hidden beast` number, since 1 + 4 + 30 + 0 + 80 + 9 + 2 + 48 + 492 = 666.

It is a super-3 number, since 3×143008092484923 (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 42743817 + ... + 43077087.

It is an arithmetic number, because the mean of its divisors is an integer number (278922002240).

Almost surely, 214300809248492 is an apocalyptic number.

14300809248492 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14300809248492, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20082384161280).

14300809248492 is an abundant number, since it is smaller than the sum of its proper divisors (25863959074068).

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

14300809248492 is a wasteful number, since it uses less digits than its factorization.

14300809248492 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 335661 (or 335640 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The spelling of 14300809248492 in words is "fourteen trillion, three hundred billion, eight hundred nine million, two hundred forty-eight thousand, four hundred ninety-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 108 117 156 169 234 338 351 468 507 676 702 1014 1404 1521 2028 2351 3042 4563 4702 6084 7053 9126 9404 14106 18252 21159 28212 30563 42318 61126 63477 84636 91689 122252 126954 183378 253908 275067 333271 366756 397319 550134 666542 794638 825201 999813 1100268 1191957 1333084 1589276 1650402 1999626 2383914 2999439 3300804 3575871 3999252 4332523 4767828 5998878 7151742 8665046 8998317 10727613 11997756 12997569 14303484 17330092 17996634 21455226 25995138 35993268 38992707 42910452 51990276 56322799 77985414 112645598 116978121 155970828 168968397 225291196 233956242 337936794 467912484 506905191 675873588 783520121 1013810382 1520715573 1567040242 2027620764 2350560363 3041431146 3134080484 4701120726 6082862292 7051681089 9402241452 10185761573 14103362178 20371523146 21155043267 28206724356 30557284719 40743046292 42310086534 61114569438 84620173068 91671854157 122229138876 132414900449 183343708314 264829800898 275015562471 366687416628 397244701347 529659601796 550031124942 794489402694 1100062249884 1191734104041 1588978805388 2383468208082 3575202312123 4766936416164 7150404624246 14300809248492