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1052344301400 = 2332527269310481
BaseRepresentation
bin11110101000001001001…
…10111011011101011000
310201121021200110110001200
433110010212323131120
5114220200120121100
62123235034314200
7136013033654520
oct17240446733530
93647250413050
101052344301400
11376329a18317
1214bb4bb88960
137830a922052
1438d10258680
151c591d2de00
hexf5049bb758

1052344301400 has 288 divisors, whose sum is σ = 4054025570400. Its totient is φ = 239640883200.

The previous prime is 1052344301389. The next prime is 1052344301413. The reversal of 1052344301400 is 41034432501.

It is a happy number.

1052344301400 is a `hidden beast` number, since 10 + 5 + 2 + 344 + 301 + 4 + 0 + 0 = 666.

It is a super-2 number, since 2×10523443014002 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3234160 + ... + 3544640.

It is an arithmetic number, because the mean of its divisors is an integer number (14076477675).

Almost surely, 21052344301400 is an apocalyptic number.

1052344301400 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 1052344301400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2027012785200).

1052344301400 is an abundant number, since it is smaller than the sum of its proper divisors (3001681269000).

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

1052344301400 is a wasteful number, since it uses less digits than its factorization.

1052344301400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310779 (or 310767 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 1052344301400 its reverse (41034432501), we get a palindrome (1093378733901).

The spelling of 1052344301400 in words is "one trillion, fifty-two billion, three hundred forty-four million, three hundred one thousand, four hundred".