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1040514424000 = 2653151861353
BaseRepresentation
bin11110010010000110111…
…11100001110011000000
310200110202020110102001021
433021003133201303000
5114021433143032000
62114001123115224
7135113626450162
oct17110337416300
93613666412037
101040514424000
113713092a2337
121497aa212b14
1377173ab35ac
143850b082932
151c0ed4b511a
hexf2437e1cc0

1040514424000 has 112 divisors (see below), whose sum is σ = 2593902108096. Its totient is φ = 413448960000.

The previous prime is 1040514423979. The next prime is 1040514424073. The reversal of 1040514424000 is 4244150401.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 777324 + ... + 1638676.

Almost surely, 21040514424000 is an apocalyptic number.

1040514424000 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 1040514424000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1296951054048).

1040514424000 is an abundant number, since it is smaller than the sum of its proper divisors (1553387684096).

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

1040514424000 is an equidigital number, since it uses as much as digits as its factorization.

1040514424000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 861531 (or 861511 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 25.

Adding to 1040514424000 its reverse (4244150401), we get a palindrome (1044758574401).

The spelling of 1040514424000 in words is "one trillion, forty billion, five hundred fourteen million, four hundred twenty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 151 160 200 250 302 320 400 500 604 755 800 1000 1208 1510 1600 2000 2416 3020 3775 4000 4832 6040 7550 8000 9664 12080 15100 18875 24160 30200 37750 48320 60400 75500 120800 151000 241600 302000 604000 861353 1208000 1722706 3445412 4306765 6890824 8613530 13781648 17227060 21533825 27563296 34454120 43067650 55126592 68908240 86135300 107669125 130064303 137816480 172270600 215338250 260128606 275632960 344541200 430676500 520257212 650321515 689082400 861353000 1040514424 1300643030 1378164800 1722706000 2081028848 2601286060 3251607575 3445412000 4162057696 5202572120 6503215150 6890824000 8324115392 10405144240 13006430300 16258037875 20810288480 26012860600 32516075750 41620576960 52025721200 65032151500 104051442400 130064303000 208102884800 260128606000 520257212000 1040514424000