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14166701784312 = 23371174310317583
BaseRepresentation
bin1100111000100111000100…
…1110100011110011111000
31212011022201210202000112020
43032021301032203303320
53324101401124044222
650044032024514440
72661340035214410
oct316116116436370
955138653660466
1014166701784312
114572078917570
12170972791ba20
137b9bb67a1bcc
1436d95a071640
15198795de965c
hexce2713a3cf8

14166701784312 has 128 divisors (see below), whose sum is σ = 44215387176960. Its totient is φ = 3674710005120.

The previous prime is 14166701784311. The next prime is 14166701784317. The reversal of 14166701784312 is 21348710766141.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14166701784311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3785728 + ... + 6531855.

It is an arithmetic number, because the mean of its divisors is an integer number (345432712320).

Almost surely, 214166701784312 is an apocalyptic number.

14166701784312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

14166701784312 is an abundant number, since it is smaller than the sum of its proper divisors (30048685392648).

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

14166701784312 is a wasteful number, since it uses less digits than its factorization.

14166701784312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10318353 (or 10318349 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 51.

The spelling of 14166701784312 in words is "fourteen trillion, one hundred sixty-six billion, seven hundred one million, seven hundred eighty-four thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 11 12 14 21 22 24 28 33 42 44 56 66 77 84 88 132 154 168 231 264 308 462 616 743 924 1486 1848 2229 2972 4458 5201 5944 8173 8916 10402 15603 16346 17832 20804 24519 31206 32692 41608 49038 57211 62412 65384 98076 114422 124824 171633 196152 228844 343266 457688 686532 1373064 10317583 20635166 30952749 41270332 61905498 72223081 82540664 113493413 123810996 144446162 216669243 226986826 247621992 288892324 340480239 433338486 453973652 577784648 680960478 794453891 866676972 907947304 1361920956 1588907782 1733353944 2383361673 2723841912 3177815564 4766723346 6355631128 7665964169 9533446692 15331928338 19066893384 22997892507 30663856676 45995785014 53661749183 61327713352 84325605859 91991570028 107323498366 160985247549 168651211718 183983140056 214646996732 252976817577 321970495098 337302423436 429293993464 505953635154 590279241013 643940990196 674604846872 1011907270308 1180558482026 1287881980392 1770837723039 2023814540616 2361116964052 3541675446078 4722233928104 7083350892156 14166701784312