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14343993648 = 2433371098233
BaseRepresentation
bin11010101101111011…
…11111100100110000
31101000122202101011000
431112331333210300
5213334030244043
610331201322000
71015312635315
oct152675774460
941018671130
1014343993648
1160a08a0806
122943936300
13147797120a
149a105cd0c
1558e4322d3
hex356f7f930

14343993648 has 160 divisors (see below), whose sum is σ = 42678468800. Its totient is φ = 4608866304.

The previous prime is 14343993647. The next prime is 14343993649. The reversal of 14343993648 is 84639934341.

It is a happy number.

14343993648 is a `hidden beast` number, since 143 + 439 + 9 + 3 + 64 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (14343993647) and next prime (14343993649).

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 14343993594 and 14343993603.

It is not an unprimeable number, because it can be changed into a prime (14343993641) 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, 1738140 + ... + 1746372.

It is an arithmetic number, because the mean of its divisors is an integer number (266740430).

Almost surely, 214343993648 is an apocalyptic number.

14343993648 is a gapful number since it is divisible by the number (18) 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 14343993648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21339234400).

14343993648 is an abundant number, since it is smaller than the sum of its proper divisors (28334475152).

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

14343993648 is a wasteful number, since it uses less digits than its factorization.

14343993648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8396 (or 8384 counting only the distinct ones).

The product of its digits is 6718464, while the sum is 54.

The spelling of 14343993648 in words is "fourteen billion, three hundred forty-three million, nine hundred ninety-three thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 37 48 54 72 74 108 109 111 144 148 216 218 222 296 327 333 432 436 444 592 654 666 872 888 981 999 1308 1332 1744 1776 1962 1998 2616 2664 2943 3924 3996 4033 5232 5328 5886 7848 7992 8066 8233 11772 12099 15696 15984 16132 16466 23544 24198 24699 32264 32932 36297 47088 48396 49398 64528 65864 72594 74097 96792 98796 108891 131728 145188 148194 193584 197592 217782 222291 290376 296388 304621 395184 435564 444582 580752 592776 609242 871128 889164 897397 913863 1185552 1218484 1742256 1778328 1794794 1827726 2436968 2692191 2741589 3556656 3589588 3655452 4873936 5384382 5483178 7179176 7310904 8076573 8224767 10768764 10966356 14358352 14621808 16153146 16449534 21537528 21932712 24229719 32306292 32899068 33203689 43075056 43865424 48459438 64612584 65798136 66407378 96918876 99611067 129225168 131596272 132814756 193837752 199222134 265629512 298833201 387675504 398444268 531259024 597666402 796888536 896499603 1195332804 1593777072 1792999206 2390665608 3585998412 4781331216 7171996824 14343993648