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12344940480 = 263537367947
BaseRepresentation
bin10110111111101000…
…01101011111000000
31011212100011221201210
423133310031133000
5200240301043410
65400550530120
7614630156055
oct133764153700
934770157653
1012344940480
115265440554
122486366940
131219768b12
1485176d02c
154c3baa220
hex2dfd0d7c0

12344940480 has 224 divisors, whose sum is σ = 40406823936. Its totient is φ = 3190910976.

The previous prime is 12344940467. The next prime is 12344940511. The reversal of 12344940480 is 8404944321.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13035367 + ... + 13036313.

Almost surely, 212344940480 is an apocalyptic number.

12344940480 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 12344940480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20203411968).

12344940480 is an abundant number, since it is smaller than the sum of its proper divisors (28061883456).

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

12344940480 is a wasteful number, since it uses less digits than its factorization.

12344940480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1371 (or 1361 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 39.

The spelling of 12344940480 in words is "twelve billion, three hundred forty-four million, nine hundred forty thousand, four hundred eighty".