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12321503440 = 2451725231019
BaseRepresentation
bin10110111100110101…
…10011100011010000
31011210201002020011021
423132122303203100
5200213301102230
65354352325224
7614224023361
oct133632634320
934721066137
1012321503440
1152531929a4
12247a543814
13121495114c
1484c5cbb68
154c1acac7a
hex2de6b38d0

12321503440 has 120 divisors (see below), whose sum is σ = 30519876960. Its totient is φ = 4625270784.

The previous prime is 12321503417. The next prime is 12321503471. The reversal of 12321503440 is 4430512321.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12091251 + ... + 12092269.

It is an arithmetic number, because the mean of its divisors is an integer number (254332308).

Almost surely, 212321503440 is an apocalyptic number.

12321503440 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 12321503440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15259938480).

12321503440 is an abundant number, since it is smaller than the sum of its proper divisors (18198373520).

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

12321503440 is a wasteful number, since it uses less digits than its factorization.

12321503440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1589 (or 1566 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

The spelling of 12321503440 in words is "twelve billion, three hundred twenty-one million, five hundred three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 136 170 272 289 340 523 578 680 1019 1046 1156 1360 1445 2038 2092 2312 2615 2890 4076 4184 4624 5095 5230 5780 8152 8368 8891 10190 10460 11560 16304 17323 17782 20380 20920 23120 34646 35564 40760 41840 44455 69292 71128 81520 86615 88910 138584 142256 151147 173230 177820 277168 294491 302294 346460 355640 532937 588982 604588 692920 711280 755735 1065874 1177964 1209176 1385840 1472455 1511470 2131748 2355928 2418352 2664685 2944910 3022940 4263496 4711856 5329370 5889820 6045880 8526992 9059929 10658740 11779640 12091760 18119858 21317480 23559280 36239716 42634960 45299645 72479432 90599290 144958864 154018793 181198580 308037586 362397160 616075172 724794320 770093965 1232150344 1540187930 2464300688 3080375860 6160751720 12321503440