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12334114020340 = 22572131733131071
BaseRepresentation
bin1011001101111100001001…
…1111000001101111110100
31121200010111121112220212101
42303133002133001233310
53104040231142122330
642122114101031444
72412052562225200
oct263370237015764
947603447486771
1012334114020340
113a259608a6542
1214725259b5584
136b6143017238
14308d8d6bdb00
15165c8a4a24ca
hexb37c27c1bf4

12334114020340 has 144 divisors (see below), whose sum is σ = 30402133622784. Its totient is φ = 4190800723200.

The previous prime is 12334114020281. The next prime is 12334114020343. The reversal of 12334114020340 is 4302041143321.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 12334114020299 and 12334114020308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12334114020343) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 94037005 + ... + 94168075.

It is an arithmetic number, because the mean of its divisors is an integer number (211125927936).

Almost surely, 212334114020340 is an apocalyptic number.

12334114020340 is a gapful number since it is divisible by the number (10) 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 12334114020340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15201066811392).

12334114020340 is an abundant number, since it is smaller than the sum of its proper divisors (18068019602444).

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

12334114020340 is a wasteful number, since it uses less digits than its factorization.

12334114020340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131958 (or 131949 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 12334114020340 its reverse (4302041143321), we get a palindrome (16636155163661).

The spelling of 12334114020340 in words is "twelve trillion, three hundred thirty-four billion, one hundred fourteen million, twenty thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 131 140 196 245 262 490 524 655 733 917 980 1310 1466 1834 2620 2932 3665 3668 4585 5131 6419 7330 9170 10262 12838 14660 18340 20524 25655 25676 32095 35917 51310 64190 71834 96023 102620 128380 131071 143668 179585 192046 262142 359170 384092 480115 524284 655355 672161 718340 917497 960230 1310710 1344322 1834994 1920460 2621420 2688644 3360805 3669988 4587485 4705127 6422479 6721610 9174970 9410254 12844958 13443220 17170301 18349940 18820508 23525635 25689916 32112395 34340602 47051270 64224790 68681204 85851505 94102540 96075043 120192107 128449580 171703010 192150086 240384214 343406020 384300172 480375215 480768428 600960535 672525301 841344749 960750430 1201921070 1345050602 1682689498 1921500860 2403842140 2690101204 3362626505 3365378996 4206723745 4707677107 6725253010 8413447490 9415354214 12585830633 13450506020 16826894980 18830708428 23538385535 25171661266 47076771070 50343322532 62929153165 88100814431 94153542140 125858306330 176201628862 251716612660 352403257724 440504072155 616705701017 881008144310 1233411402034 1762016288620 2466822804068 3083528505085 6167057010170 12334114020340