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1453450540410 = 23251110130794721
BaseRepresentation
bin10101001001101000011…
…001110011010101111010
312010221121110121120200200
4111021220121303111322
5142303131314243120
63031412253143030
7210002600515251
oct25115031632572
95127543546620
101453450540410
1151044aa36430
121b583178aa76
13a70a14b6a8b
14504c1301798
1527c1a8e1e90
hex1526867357a

1453450540410 has 192 divisors, whose sum is σ = 4165565564160. Its totient is φ = 348675840000.

The previous prime is 1453450540327. The next prime is 1453450540447. The reversal of 1453450540410 is 140450543541.

1453450540410 is a `hidden beast` number, since 1 + 4 + 53 + 4 + 50 + 540 + 4 + 10 = 666.

It is a super-3 number, since 3×14534505404103 (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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, 307866850 + ... + 307871570.

It is an arithmetic number, because the mean of its divisors is an integer number (21695653980).

Almost surely, 21453450540410 is an apocalyptic number.

1453450540410 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1453450540410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2082782782080).

1453450540410 is an abundant number, since it is smaller than the sum of its proper divisors (2712115023750).

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

1453450540410 is a wasteful number, since it uses less digits than its factorization.

1453450540410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7925 (or 7922 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 36.

The spelling of 1453450540410 in words is "one trillion, four hundred fifty-three billion, four hundred fifty million, five hundred forty thousand, four hundred ten".