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14426970243840 = 28325721121911117
BaseRepresentation
bin1101000111110000101001…
…1011111100001100000000
31220002012112100202200000100
43101330022123330030000
53342332413340300330
650403354133122400
73016212525503100
oct321741233741400
956065470680010
1014426970243840
114662497657400
121750063189400
138085c4054b4b
1437c3aa529200
151a042a450060
hexd1f0a6fc300

14426970243840 has 1944 divisors, whose sum is σ = 67189075415280. Its totient is φ = 2839776952320.

The previous prime is 14426970243827. The next prime is 14426970243841. The reversal of 14426970243840 is 4834207962441.

14426970243840 is a `hidden beast` number, since 1 + 4 + 42 + 69 + 70 + 2 + 438 + 40 = 666.

It is not an unprimeable number, because it can be changed into a prime (14426970243841) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 1297733962 + ... + 1297745078.

Almost surely, 214426970243840 is an apocalyptic number.

14426970243840 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 14426970243840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33594537707640).

14426970243840 is an abundant number, since it is smaller than the sum of its proper divisors (52762105171440).

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

14426970243840 is a wasteful number, since it uses less digits than its factorization.

14426970243840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11199 (or 11164 counting only the distinct ones).

The product of its (nonzero) digits is 9289728, while the sum is 54.

The spelling of 14426970243840 in words is "fourteen trillion, four hundred twenty-six billion, nine hundred seventy million, two hundred forty-three thousand, eight hundred forty".