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14680441735212 = 223112321811116089
BaseRepresentation
bin1101010110100000111010…
…0000111100100000101100
31220222102210020002120001010
43111220032200330200230
53411011021041011322
651120033554545220
73043425013565001
oct325501640744054
956872706076033
1014680441735212
11474aa38706490
121791202298210
1382648a3ab136
1438a773dd78a8
151a6d12de420c
hexd5a0e83c82c

14680441735212 has 144 divisors (see below), whose sum is σ = 39085656704640. Its totient is φ = 4252814227200.

The previous prime is 14680441735199. The next prime is 14680441735217. The reversal of 14680441735212 is 21253714408641.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (14680441735217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 126400464 + ... + 126516552.

It is an arithmetic number, because the mean of its divisors is an integer number (271428171560).

Almost surely, 214680441735212 is an apocalyptic number.

14680441735212 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 14680441735212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19542828352320).

14680441735212 is an abundant number, since it is smaller than the sum of its proper divisors (24405214969428).

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

14680441735212 is a wasteful number, since it uses less digits than its factorization.

14680441735212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117964 (or 117939 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 48.

The spelling of 14680441735212 in words is "fourteen trillion, six hundred eighty billion, four hundred forty-one million, seven hundred thirty-five thousand, two hundred twelve".

Divisors: 1 2 3 4 6 11 12 22 23 33 44 46 66 69 92 132 138 253 276 506 529 759 1012 1058 1518 1587 1811 2116 3036 3174 3622 5433 5819 6348 7244 10866 11638 17457 19921 21732 23276 34914 39842 41653 59763 69828 79684 83306 116089 119526 124959 166612 232178 239052 249918 348267 458183 464356 499836 696534 916366 958019 1276979 1374549 1393068 1832732 1916038 2553958 2670047 2749098 2874057 3830937 3832076 5107916 5340094 5498196 5748114 7661874 8010141 10538209 10680188 11496228 15323748 16020282 21076418 29370517 31614627 32040564 42152836 58741034 61411081 63229254 88111551 117482068 122822162 126458508 176223102 184233243 210237179 245644324 352446204 368466486 420474358 630711537 675521891 736932972 840948716 1261423074 1351043782 2026565673 2312608969 2522846148 2702087564 4053131346 4625217938 4835455117 6937826907 8106262692 9250435876 9670910234 13875653814 14506365351 19341820468 27751307628 29012730702 53190006287 58025461404 106380012574 111215467691 159570018861 212760025148 222430935382 319140037722 333646403073 444861870764 638280075444 667292806146 1223370144601 1334585612292 2446740289202 3670110433803 4893480578404 7340220867606 14680441735212