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14057003520 = 293357171709
BaseRepresentation
bin11010001011101110…
…01101101000000000
31100021122201202201000
431011313031220000
5212242043103040
610242510212000
71005226362360
oct150567155000
940248652630
1014057003520
115a638a288a
1228837b4000
131430379c81
14974cb49a0
15574143130
hex345dcda00

14057003520 has 640 divisors, whose sum is σ = 60456844800. Its totient is φ = 3022258176.

The previous prime is 14057003489. The next prime is 14057003539. The reversal of 14057003520 is 2530075041.

It is a happy number.

14057003520 is a `hidden beast` number, since 1 + 40 + 570 + 0 + 3 + 52 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×140570035202 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8224426 + ... + 8226134.

It is an arithmetic number, because the mean of its divisors is an integer number (94463820).

Almost surely, 214057003520 is an apocalyptic number.

14057003520 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 14057003520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30228422400).

14057003520 is an abundant number, since it is smaller than the sum of its proper divisors (46399841280).

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

14057003520 is a wasteful number, since it uses less digits than its factorization.

14057003520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1765 (or 1743 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

Adding to 14057003520 its reverse (2530075041), we get a palindrome (16587078561).

The spelling of 14057003520 in words is "fourteen billion, fifty-seven million, three thousand, five hundred twenty".