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12343110440 = 235174329817
BaseRepresentation
bin10110111111011010…
…01110101100101000
31011212012201222101112
423133231032230220
5200234314013230
65400443405452
7614605464503
oct133755165450
934765658345
1012343110440
115264400621
122485823888
131219277b5b
1485141413a
154c3947d95
hex2dfb4eb28

12343110440 has 96 divisors (see below), whose sum is σ = 30108467880. Its totient is φ = 4538290176.

The previous prime is 12343110431. The next prime is 12343110449. The reversal of 12343110440 is 4401134321.

It is an interprime number because it is at equal distance from previous prime (12343110431) and next prime (12343110449).

It can be written as a sum of positive squares in 4 ways, for example, as 12326772676 + 16337764 = 111026^2 + 4042^2 .

It is not an unprimeable number, because it can be changed into a prime (12343110449) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1252412 + ... + 1262228.

Almost surely, 212343110440 is an apocalyptic number.

12343110440 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 12343110440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15054233940).

12343110440 is an abundant number, since it is smaller than the sum of its proper divisors (17765357440).

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

12343110440 is a wasteful number, since it uses less digits than its factorization.

12343110440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9931 (or 9884 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 12343110440 its reverse (4401134321), we get a palindrome (16744244761).

The spelling of 12343110440 in words is "twelve billion, three hundred forty-three million, one hundred ten thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 17 20 34 40 43 68 85 86 136 170 172 215 340 344 430 680 731 860 1462 1720 1849 2924 3655 3698 5848 7310 7396 9245 9817 14620 14792 18490 19634 29240 31433 36980 39268 49085 62866 73960 78536 98170 125732 157165 166889 196340 251464 314330 333778 392680 422131 628660 667556 834445 844262 1257320 1335112 1668890 1688524 2110655 3337780 3377048 4221310 6675560 7176227 8442620 14352454 16885240 18151633 28704908 35881135 36303266 57409816 71762270 72606532 90758165 143524540 145213064 181516330 287049080 308577761 363032660 617155522 726065320 1234311044 1542888805 2468622088 3085777610 6171555220 12343110440