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12303047424 = 283172633583
BaseRepresentation
bin10110111010101000…
…11001101100000000
31011202102100120021010
423131110121230000
5200144040004144
65352453000520
7613611114633
oct133524315400
934672316233
1012303047424
115243827698
122474323140
131210b8b725
14849d85c1a
154c01825b9
hex2dd519b00

12303047424 has 144 divisors (see below), whose sum is σ = 34811707392. Its totient is φ = 3844030464.

The previous prime is 12303047417. The next prime is 12303047437. The reversal of 12303047424 is 42474030321.

It is a junction number, because it is equal to n+sod(n) for n = 12303047391 and 12303047400.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3431937 + ... + 3435519.

It is an arithmetic number, because the mean of its divisors is an integer number (241747968).

Almost surely, 212303047424 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 12303047424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17405853696).

12303047424 is an abundant number, since it is smaller than the sum of its proper divisors (22508659968).

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

12303047424 is a wasteful number, since it uses less digits than its factorization.

12303047424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3882 (or 3868 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 30.

Adding to 12303047424 its reverse (42474030321), we get a palindrome (54777077745).

The spelling of 12303047424 in words is "twelve billion, three hundred three million, forty-seven thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 128 136 192 204 256 263 272 384 408 526 544 768 789 816 1052 1088 1578 1632 2104 2176 3156 3264 3583 4208 4352 4471 6312 6528 7166 8416 8942 10749 12624 13056 13413 14332 16832 17884 21498 25248 26826 28664 33664 35768 42996 50496 53652 57328 60911 67328 71536 85992 100992 107304 114656 121822 143072 171984 182733 201984 214608 229312 243644 286144 343968 365466 429216 458624 487288 572288 687936 730932 858432 917248 942329 974576 1144576 1375872 1461864 1716864 1884658 1949152 2751744 2826987 2923728 3433728 3769316 3898304 5653974 5847456 7538632 7796608 11307948 11694912 15077264 15593216 16019593 22615896 23389824 30154528 32039186 45231792 46779648 48058779 60309056 64078372 90463584 96117558 120618112 128156744 180927168 192235116 241236224 256313488 361854336 384470232 512626976 723708672 768940464 1025253952 1537880928 2050507904 3075761856 4101015808 6151523712 12303047424