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14853706778214 = 2331773431514271
BaseRepresentation
bin1101100000100110010111…
…1010101000011001100110
31221121000000100211201011000
43120021211322220121212
53421330342413400324
651331410530054130
73062100462262653
oct330114572503146
957530010751130
1014853706778214
1148074702717a7
1217ba8b841a346
138399108c8215
14394ccd54ac2a
151ab5a41d99c9
hexd8265ea8666

14853706778214 has 128 divisors (see below), whose sum is σ = 35510934159360. Its totient is φ = 4585478169600.

The previous prime is 14853706778149. The next prime is 14853706778219. The reversal of 14853706778214 is 41287760735841.

It is a happy number.

14853706778214 is a `hidden beast` number, since 1 + 4 + 8 + 537 + 0 + 6 + 7 + 7 + 82 + 14 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14853706778219) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 28625899 + ... + 29140169.

It is an arithmetic number, because the mean of its divisors is an integer number (277429173120).

Almost surely, 214853706778214 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14853706778214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17755467079680).

14853706778214 is an abundant number, since it is smaller than the sum of its proper divisors (20657227381146).

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

14853706778214 is a wasteful number, since it uses less digits than its factorization.

14853706778214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 514803 (or 514797 counting only the distinct ones).

The product of its (nonzero) digits is 63221760, while the sum is 63.

The spelling of 14853706778214 in words is "fourteen trillion, eight hundred fifty-three billion, seven hundred six million, seven hundred seventy-eight thousand, two hundred fourteen".

Divisors: 1 2 3 6 9 17 18 27 34 51 54 73 102 146 153 219 306 431 438 459 657 862 918 1241 1293 1314 1971 2482 2586 3723 3879 3942 7327 7446 7758 11169 11637 14654 21981 22338 23274 31463 33507 43962 62926 65943 67014 94389 131886 188778 197829 283167 395658 514271 534871 566334 849501 1028542 1069742 1542813 1604613 1699002 3085626 3209226 4628439 4813839 8742607 9256878 9627678 13885317 14441517 17485214 26227821 27770634 28883034 37541783 52455642 75083566 78683463 112625349 157366926 221650801 225250698 236050389 337876047 443301602 472100778 638210311 664952403 675752094 1013628141 1276420622 1329904806 1914630933 1994857209 2027256282 3768063617 3829261866 3989714418 5743892799 5984571627 7536127234 11304190851 11487785598 11969143254 16180508473 17231678397 22608381702 32361016946 33912572553 34463356794 48541525419 67825145106 97083050838 101737717659 145624576257 203475435318 275068644041 291249152514 436873728771 550137288082 825205932123 873747457542 1650411864246 2475617796369 4951235592738 7426853389107 14853706778214