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12454440000 = 26354103787
BaseRepresentation
bin10111001100101011…
…11010110001000000
31012010222020002211120
423212111322301000
5201001314040000
65415501512240
7620426664462
oct134625726100
935128202746
1012454440000
115311230122
1224b6b72680
131236357432
14862114132
154cd5d96a0
hex2e657ac40

12454440000 has 140 divisors (see below), whose sum is σ = 41177681424. Its totient is φ = 3321152000.

The previous prime is 12454439971. The next prime is 12454440049. The reversal of 12454440000 is 4445421.

It is a happy number.

It is a super-2 number, since 2×124544400002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 68107 + ... + 171893.

Almost surely, 212454440000 is an apocalyptic number.

12454440000 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 12454440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20588840712).

12454440000 is an abundant number, since it is smaller than the sum of its proper divisors (28723241424).

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

12454440000 is an equidigital number, since it uses as much as digits as its factorization.

12454440000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103822 (or 103797 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 24.

Adding to 12454440000 its reverse (4445421), we get a palindrome (12458885421).

The spelling of 12454440000 in words is "twelve billion, four hundred fifty-four million, four hundred forty thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 100 120 125 150 160 192 200 240 250 300 320 375 400 480 500 600 625 750 800 960 1000 1200 1250 1500 1600 1875 2000 2400 2500 3000 3750 4000 4800 5000 6000 7500 8000 10000 12000 15000 20000 24000 30000 40000 60000 103787 120000 207574 311361 415148 518935 622722 830296 1037870 1245444 1556805 1660592 2075740 2490888 2594675 3113610 3321184 4151480 4981776 5189350 6227220 6642368 7784025 8302960 9963552 10378700 12454440 12973375 15568050 16605920 19927104 20757400 24908880 25946750 31136100 33211840 38920125 41514800 49817760 51893500 62272200 64866875 77840250 83029600 99635520 103787000 124544400 129733750 155680500 166059200 194600625 207574000 249088800 259467500 311361000 389201250 415148000 498177600 518935000 622722000 778402500 830296000 1037870000 1245444000 1556805000 2075740000 2490888000 3113610000 4151480000 6227220000 12454440000