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14004312342312 = 23319733109338333
BaseRepresentation
bin1100101111001010001000…
…0011111111111100101000
31211120210120121100122022110
43023302202003333330220
53313421312424423222
645441254155322320
72643530625560115
oct313624203777450
954523517318273
1014004312342312
11450a217253256
1216a2167a503a0
137a77a74a51a6
14365b5308990c
1519443e7be30c
hexcbca20fff28

14004312342312 has 128 divisors (see below), whose sum is σ = 36938458396800. Its totient is φ = 4412225405952.

The previous prime is 14004312342311. The next prime is 14004312342343. The reversal of 14004312342312 is 21324321340041.

It is a super-2 number, since 2×140043123423122 (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 14004312342312.

It is not an unprimeable number, because it can be changed into a prime (14004312342311) 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, 365313898 + ... + 365352230.

It is an arithmetic number, because the mean of its divisors is an integer number (288581706225).

Almost surely, 214004312342312 is an apocalyptic number.

14004312342312 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 14004312342312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18469229198400).

14004312342312 is an abundant number, since it is smaller than the sum of its proper divisors (22934146054488).

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

14004312342312 is a wasteful number, since it uses less digits than its factorization.

14004312342312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40187 (or 40183 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 14004312342312 its reverse (21324321340041), we get a palindrome (35328633682353).

The spelling of 14004312342312 in words is "fourteen trillion, four billion, three hundred twelve million, three hundred forty-two thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 76 114 152 228 456 733 1093 1466 2186 2199 2932 3279 4372 4398 5864 6558 8744 8796 13116 13927 17592 20767 26232 27854 38333 41534 41781 55708 62301 76666 83068 83562 111416 114999 124602 153332 166136 167124 229998 249204 306664 334248 459996 498408 728327 801169 919992 1456654 1602338 2184981 2403507 2913308 3204676 4369962 4807014 5826616 6409352 8739924 9614028 15222211 17479848 19228056 28098089 30444422 41897969 45666633 56196178 60888844 83795938 84294267 91333266 112392356 121777688 125693907 167591876 168588534 182666532 224784712 251387814 335183752 337177068 365333064 502775628 533863691 674354136 796061411 1005551256 1067727382 1592122822 1601591073 2135454764 2388184233 3184245644 3203182146 4270909528 4776368466 6368491288 6406364292 9552736932 12812728584 19105473864 30711211277 61422422554 92133633831 122844845108 184267267662 245689690216 368534535324 583513014263 737069070648 1167026028526 1750539042789 2334052057052 3501078085578 4668104114104 7002156171156 14004312342312