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14454024354 = 23271119752937
BaseRepresentation
bin11010111011000011…
…01110100010100010
31101022022210111220100
431131201232202202
5214100212234404
610350131523230
71021120115460
oct153541564242
941268714810
1014454024354
116147a13480
122974759516
1314946b7543
149b1901830
15598e18d39
hex35d86e8a2

14454024354 has 96 divisors (see below), whose sum is σ = 39243574656. Its totient is φ = 3735164160.

The previous prime is 14454024341. The next prime is 14454024371. The reversal of 14454024354 is 45342045441.

14454024354 is a `hidden beast` number, since 1 + 44 + 540 + 24 + 3 + 54 = 666.

14454024354 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 246574 + ... + 299510.

It is an arithmetic number, because the mean of its divisors is an integer number (408787236).

Almost surely, 214454024354 is an apocalyptic number.

14454024354 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 14454024354, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19621787328).

14454024354 is an abundant number, since it is smaller than the sum of its proper divisors (24789550302).

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

14454024354 is a wasteful number, since it uses less digits than its factorization.

14454024354 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53160 (or 53157 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 36.

Adding to 14454024354 its reverse (45342045441), we get a palindrome (59796069795).

The spelling of 14454024354 in words is "fourteen billion, four hundred fifty-four million, twenty-four thousand, three hundred fifty-four".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 33 42 63 66 77 99 126 154 197 198 231 394 462 591 693 1182 1379 1386 1773 2167 2758 3546 4137 4334 6501 8274 12411 13002 15169 19503 24822 30338 39006 45507 52937 91014 105874 136521 158811 273042 317622 370559 476433 582307 741118 952866 1111677 1164614 1746921 2223354 3335031 3493842 4076149 5240763 6670062 8152298 10428589 10481526 12228447 20857178 24456894 31285767 36685341 62571534 73000123 73370682 93857301 114714479 146000246 187714602 219000369 229428958 344143437 438000738 657001107 688286874 803001353 1032430311 1314002214 1606002706 2064860622 2409004059 4818008118 7227012177 14454024354