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521002142023440 = 2435711217314814901
BaseRepresentation
bin111011001110110010100001…
…1100110100011111100010000
32112022201022121002001122022210
41312131211003212203330100
51021242044341324222230
65044025025125232120
7214512106524566040
oct16635450346437420
92468638532048283
10521002142023440
11141009849746700
124a525857262640
13194933a295593c
1492928d13c9720
1540376dc0b3eb0
hex1d9d9439a3f10

521002142023440 has 480 divisors, whose sum is σ = 2040622142323968. Its totient is φ = 107634396672000.

The previous prime is 521002142023427. The next prime is 521002142023543. The reversal of 521002142023440 is 44320241200125.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 521002142023398 and 521002142023407.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 27759990 + ... + 42574890.

Almost surely, 2521002142023440 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 521002142023440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1020311071161984).

521002142023440 is an abundant number, since it is smaller than the sum of its proper divisors (1519620000300528).

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

521002142023440 is a wasteful number, since it uses less digits than its factorization.

521002142023440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14815119 (or 14815102 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

Adding to 521002142023440 its reverse (44320241200125), we get a palindrome (565322383223565).

The spelling of 521002142023440 in words is "five hundred twenty-one trillion, two billion, one hundred forty-two million, twenty-three thousand, four hundred forty".