Search a number
-
+
14676746463344 = 2471927743357503
BaseRepresentation
bin1101010110010011001001…
…0000100110100001110000
31220222002020200210022000002
43111210302100212201300
53410430434043311334
651114223152245132
73043234313362430
oct325446220464160
956862220708002
1014676746463344
114749411835a99
1217905508407a8
1382601b951634
1438a5033282c0
151a6b987b3b7e
hexd5932426870

14676746463344 has 160 divisors (see below), whose sum is σ = 34412344135680. Its totient is φ = 5923651792896.

The previous prime is 14676746463343. The next prime is 14676746463383. The reversal of 14676746463344 is 44336464767641.

It is a super-2 number, since 2×146767464633442 (a number of 27 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (65) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14676746463343) 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, 255205697 + ... + 255263199.

It is an arithmetic number, because the mean of its divisors is an integer number (215077150848).

Almost surely, 214676746463344 is an apocalyptic number.

14676746463344 is a gapful number since it is divisible by the number (14) 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 14676746463344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17206172067840).

14676746463344 is an abundant number, since it is smaller than the sum of its proper divisors (19735597672336).

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

14676746463344 is a wasteful number, since it uses less digits than its factorization.

14676746463344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58247 (or 58241 counting only the distinct ones).

The product of its digits is 585252864, while the sum is 65.

The spelling of 14676746463344 in words is "fourteen trillion, six hundred seventy-six billion, seven hundred forty-six million, four hundred sixty-three thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 14 16 19 28 38 56 76 112 133 152 266 277 304 433 532 554 866 1064 1108 1732 1939 2128 2216 3031 3464 3878 4432 5263 6062 6928 7756 8227 10526 12124 15512 16454 21052 24248 31024 32908 36841 42104 48496 57503 57589 65816 73682 84208 115006 115178 119941 131632 147364 230012 230356 239882 294728 402521 460024 460712 479764 589456 805042 839587 920048 921424 959528 1092557 1610084 1679174 1919056 2185114 2278879 3220168 3358348 4370228 4557758 6440336 6716696 7647899 8740456 9115516 13433392 15295798 15928331 15952153 17480912 18231032 24898799 30591596 31856662 31904306 36462064 49797598 61183192 63713324 63808612 99595196 111498317 122366384 127426648 127617224 174291593 199190392 222996634 254853296 255234448 302638289 348583186 398380784 445993268 473077181 605276578 697166372 891986536 946154362 1210553156 1394332744 1783973072 1892308724 2118468023 2421106312 2788665488 3311540267 3784617448 4236936046 4842212624 6623080534 6896967323 7569234896 8473872092 13246161068 13793934646 16947744184 26492322136 27587869292 33895488368 48278771261 52984644272 55175738584 96557542522 110351477168 131042379137 193115085044 262084758274 386230170088 524169516548 772460340176 917296653959 1048339033096 1834593307918 2096678066192 3669186615836 7338373231672 14676746463344