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10043140000 = 2554653769
BaseRepresentation
bin10010101101001111…
…00010011110100000
3221220220221101002011
421112213202132200
5131032020440000
64340323202304
7503610165355
oct112647423640
927826841064
1010043140000
1142940aa803
121b43516394
13c409132ba
146b3b9262c
153dba802ba
hex2569e27a0

10043140000 has 120 divisors (see below), whose sum is σ = 24777646740. Its totient is φ = 4005888000.

The previous prime is 10043139989. The next prime is 10043140001. The reversal of 10043140000 is 4134001.

It can be written as a sum of positive squares in 10 ways, for example, as 2138507536 + 7904632464 = 46244^2 + 88908^2 .

It is a super-3 number, since 3×100431400003 (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (10043140001) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 13059616 + ... + 13060384.

Almost surely, 210043140000 is an apocalyptic number.

10043140000 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 10043140000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12388823370).

10043140000 is an abundant number, since it is smaller than the sum of its proper divisors (14734506740).

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

10043140000 is an frugal number, since it uses more digits than its factorization.

10043140000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1452 (or 1429 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

Adding to 10043140000 its reverse (4134001), we get a palindrome (10047274001).

The spelling of 10043140000 in words is "ten billion, forty-three million, one hundred forty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 625 653 769 800 1000 1250 1306 1538 2000 2500 2612 3076 3265 3845 4000 5000 5224 6152 6530 7690 10000 10448 12304 13060 15380 16325 19225 20000 20896 24608 26120 30760 32650 38450 52240 61520 65300 76900 81625 96125 104480 123040 130600 153800 163250 192250 261200 307600 326500 384500 408125 480625 502157 522400 615200 653000 769000 816250 961250 1004314 1306000 1538000 1632500 1922500 2008628 2510785 2612000 3076000 3265000 3845000 4017256 5021570 6530000 7690000 8034512 10043140 12553925 13060000 15380000 16069024 20086280 25107850 40172560 50215700 62769625 80345120 100431400 125539250 200862800 251078500 313848125 401725600 502157000 627696250 1004314000 1255392500 2008628000 2510785000 5021570000 10043140000