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10412420240000 = 2754130155253
BaseRepresentation
bin1001011110000101010010…
…0111000001001010000000
31100212102021110200012002002
42113201110213001022000
52331044114040140000
634051222210043132
72123162323502462
oct227412447011200
940772243605062
1010412420240000
113354978857579
121201bb65794a8
135a6b6ba083ac
1427dd6ca62132
15130cb6e1c8d5
hex978549c1280

10412420240000 has 80 divisors (see below), whose sum is σ = 25921069610370. Its totient is φ = 4164968064000.

The previous prime is 10412420239981. The next prime is 10412420240093. The reversal of 10412420240000 is 4202421401.

It can be written as a sum of positive squares in 5 ways, for example, as 328035689536 + 10084384550464 = 572744^2 + 3175592^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 64997627 + ... + 65157626.

Almost surely, 210412420240000 is an apocalyptic number.

10412420240000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10412420240000 is an abundant number, since it is smaller than the sum of its proper divisors (15508649370370).

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

10412420240000 is an frugal number, since it uses more digits than its factorization.

10412420240000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130155287 (or 130155260 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 10412420240000 its reverse (4202421401), we get a palindrome (10416622661401).

The spelling of 10412420240000 in words is "ten trillion, four hundred twelve billion, four hundred twenty million, two hundred forty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 320 400 500 625 640 800 1000 1250 1600 2000 2500 3200 4000 5000 8000 10000 16000 20000 40000 80000 130155253 260310506 520621012 650776265 1041242024 1301552530 2082484048 2603105060 3253881325 4164968096 5206210120 6507762650 8329936192 10412420240 13015525300 16269406625 16659872384 20824840480 26031050600 32538813250 41649680960 52062101200 65077626500 81347033125 83299361920 104124202400 130155253000 162694066250 208248404800 260310506000 325388132500 416496809600 520621012000 650776265000 1041242024000 1301552530000 2082484048000 2603105060000 5206210120000 10412420240000