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14121244312 = 23723791371013
BaseRepresentation
bin11010010011011000…
…10001011010011000
31100110010121112111121
431021230101122120
5212410014304222
610253123135024
71006636411330
oct151154213230
940403545447
1014121244312
115a9708a94a
1228a1214474
131440780286
1497d6380c0
15579ad25c7
hex349b11698

14121244312 has 128 divisors (see below), whose sum is σ = 32240332800. Its totient is φ = 5668236288.

The previous prime is 14121244303. The next prime is 14121244321. The reversal of 14121244312 is 21344212141.

It is an interprime number because it is at equal distance from previous prime (14121244303) and next prime (14121244321).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13939518 + ... + 13940530.

It is an arithmetic number, because the mean of its divisors is an integer number (251877600).

Almost surely, 214121244312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14121244312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16120166400).

14121244312 is an abundant number, since it is smaller than the sum of its proper divisors (18119088488).

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

14121244312 is a wasteful number, since it uses less digits than its factorization.

14121244312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1265 (or 1261 counting only the distinct ones).

The product of its digits is 1536, while the sum is 25.

Adding to 14121244312 its reverse (21344212141), we get a palindrome (35465456453).

The spelling of 14121244312 in words is "fourteen billion, one hundred twenty-one million, two hundred forty-four thousand, three hundred twelve".

Divisors: 1 2 4 7 8 14 23 28 46 56 79 92 137 158 161 184 274 316 322 548 553 632 644 959 1013 1096 1106 1288 1817 1918 2026 2212 3151 3634 3836 4052 4424 6302 7091 7268 7672 8104 10823 12604 12719 14182 14536 21646 22057 23299 25208 25438 28364 43292 44114 46598 50876 56728 75761 80027 86584 88228 93196 101752 138781 151522 160054 163093 176456 186392 248929 277562 303044 320108 326186 497858 555124 560189 606088 640216 652372 971467 995716 1110248 1120378 1304744 1742503 1840621 1942934 1991432 2240756 3191963 3485006 3681242 3885868 4481512 6383926 6970012 7362484 7771736 10963699 12767852 12884347 13940024 14724968 21927398 22343741 25535704 25768694 43854796 44687482 51537388 76745893 87709592 89374964 103074776 153491786 178749928 252165077 306983572 504330154 613967144 1008660308 1765155539 2017320616 3530311078 7060622156 14121244312