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12289240320 = 28357457189
BaseRepresentation
bin10110111000111111…
…01110110100000000
31011201110101002110220
423130133232310000
5200132021142240
65351241023040
7613352550660
oct133437566400
934643332426
1012289240320
115236a57165
12246b784a80
13120b066046
148481d01a0
154bdd565d0
hex2dc7eed00

12289240320 has 144 divisors (see below), whose sum is σ = 44855825280. Its totient is φ = 2808963072.

The previous prime is 12289240319. The next prime is 12289240321. The reversal of 12289240320 is 2304298221.

It is an interprime number because it is at equal distance from previous prime (12289240319) and next prime (12289240321).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12289240321) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 201715 + ... + 255474.

Almost surely, 212289240320 is an apocalyptic number.

12289240320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12289240320 is an abundant number, since it is smaller than the sum of its proper divisors (32566584960).

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

12289240320 is an equidigital number, since it uses as much as digits as its factorization.

12289240320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 457220 (or 457206 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The spelling of 12289240320 in words is "twelve billion, two hundred eighty-nine million, two hundred forty thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 64 70 80 84 96 105 112 120 128 140 160 168 192 210 224 240 256 280 320 336 384 420 448 480 560 640 672 768 840 896 960 1120 1280 1344 1680 1792 1920 2240 2688 3360 3840 4480 5376 6720 8960 13440 26880 457189 914378 1371567 1828756 2285945 2743134 3200323 3657512 4571890 5486268 6400646 6857835 7315024 9143780 9600969 10972536 12801292 13715670 14630048 16001615 18287560 19201938 21945072 25602584 27431340 29260096 32003230 36575120 38403876 43890144 48004845 51205168 54862680 58520192 64006460 73150240 76807752 87780288 96009690 102410336 109725360 117040384 128012920 146300480 153615504 175560576 192019380 204820672 219450720 256025840 292600960 307231008 351121152 384038760 409641344 438901440 512051680 585201920 614462016 768077520 819282688 877802880 1024103360 1228924032 1536155040 1755605760 2048206720 2457848064 3072310080 4096413440 6144620160 12289240320