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14470042496 = 2771319151433
BaseRepresentation
bin11010111100111101…
…10101001110000000
31101100102221022122212
431132132311032000
5214113312324441
610351503121252
71021403221550
oct153636651600
941312838585
1014470042496
116155a64108
122979ba3228
131497b05430
149b3ab1160
1559a52eeeb
hex35e7b5380

14470042496 has 256 divisors, whose sum is σ = 37680921600. Its totient is φ = 5374771200.

The previous prime is 14470042481. The next prime is 14470042513. The reversal of 14470042496 is 69424007441.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33417896 + ... + 33418328.

It is an arithmetic number, because the mean of its divisors is an integer number (147191100).

Almost surely, 214470042496 is an apocalyptic number.

14470042496 is a gapful number since it is divisible by the number (16) 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 14470042496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18840460800).

14470042496 is an abundant number, since it is smaller than the sum of its proper divisors (23210879104).

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

14470042496 is a wasteful number, since it uses less digits than its factorization.

14470042496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 637 (or 625 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 41.

The spelling of 14470042496 in words is "fourteen billion, four hundred seventy million, forty-two thousand, four hundred ninety-six".