Search a number
-
+
14747913447312 = 2432341476932339
BaseRepresentation
bin1101011010011100010000…
…1001000110011110010000
31221012212221110000122221010
43112213010021012132100
53413112211320303222
651211033051530520
73051334020640623
oct326470411063620
957185843018833
1014747913447312
114776611733421
1217a22b2459a40
1382c950aa0736
1438db34d17dba
151a896158c80c
hexd69c4246790

14747913447312 has 160 divisors (see below), whose sum is σ = 41591377981440. Its totient is φ = 4489936675840.

The previous prime is 14747913447301. The next prime is 14747913447313. The reversal of 14747913447312 is 21374431974741.

It is a super-2 number, since 2×147479134473122 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (14747913447313) 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 31 ways as a sum of consecutive naturals, for example, 1338762 + ... + 5593577.

It is an arithmetic number, because the mean of its divisors is an integer number (259946112384).

Almost surely, 214747913447312 is an apocalyptic number.

14747913447312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

14747913447312 is an abundant number, since it is smaller than the sum of its proper divisors (26843464534128).

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

14747913447312 is a wasteful number, since it uses less digits than its factorization.

14747913447312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6932461 (or 6932455 counting only the distinct ones).

The product of its digits is 14224896, while the sum is 57.

The spelling of 14747913447312 in words is "fourteen trillion, seven hundred forty-seven billion, nine hundred thirteen million, four hundred forty-seven thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 23 24 41 46 47 48 69 82 92 94 123 138 141 164 184 188 246 276 282 328 368 376 492 552 564 656 752 943 984 1081 1104 1128 1886 1927 1968 2162 2256 2829 3243 3772 3854 4324 5658 5781 6486 7544 7708 8648 11316 11562 12972 15088 15416 17296 22632 23124 25944 30832 44321 45264 46248 51888 88642 92496 132963 177284 265926 354568 531852 709136 1063704 2127408 6932339 13864678 20797017 27729356 41594034 55458712 83188068 110917424 159443797 166376136 284225899 318887594 325819933 332752272 478331391 568451798 637775188 651639866 852677697 956662782 977459799 1136903596 1275550376 1303279732 1705355394 1913325564 1954919598 2273807192 2551100752 2606559464 3410710788 3826651128 3909839196 4547614384 5213118928 6537195677 6821421576 7493858459 7653302256 7819678392 13074391354 13358617253 13642843152 14987716918 15639356784 19611587031 22481575377 26148782708 26717234506 29975433836 39223174062 40075851759 44963150754 52297565416 53434469012 59950867672 78446348124 80151703518 89926301508 104595130832 106868938024 119901735344 156892696248 160303407036 179852603016 213737876048 307248196819 313785392496 320606814072 359705206032 614496393638 641213628144 921744590457 1228992787276 1843489180914 2457985574552 3686978361828 4915971149104 7373956723656 14747913447312