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10344042420000 = 25354172400707
BaseRepresentation
bin1001011010000110100011…
…1110010101011100100000
31100121212210002202000211020
42112201220332111130200
52323434044324420000
633555553144045440
72115222004561542
oct226415076253440
940555702660736
1010344042420000
11332897a306333
1211b08b2a63880
135a0592691283
1427a923675692
1512e113e3cba0
hex96868f95720

10344042420000 has 120 divisors (see below), whose sum is σ = 33930528142896. Its totient is φ = 2758411296000.

The previous prime is 10344042419957. The next prime is 10344042420007. The reversal of 10344042420000 is 2424044301.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is not an unprimeable number, because it can be changed into a prime (10344042420007) 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, 86140354 + ... + 86260353.

Almost surely, 210344042420000 is an apocalyptic number.

10344042420000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10344042420000 is an abundant number, since it is smaller than the sum of its proper divisors (23586485722896).

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

10344042420000 is an equidigital number, since it uses as much as digits as its factorization.

10344042420000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172400740 (or 172400717 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 10344042420000 its reverse (2424044301), we get a palindrome (10346466464301).

The spelling of 10344042420000 in words is "ten trillion, three hundred forty-four billion, forty-two million, four hundred twenty thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 125 150 160 200 240 250 300 375 400 480 500 600 625 750 800 1000 1200 1250 1500 1875 2000 2400 2500 3000 3750 4000 5000 6000 7500 10000 12000 15000 20000 30000 60000 172400707 344801414 517202121 689602828 862003535 1034404242 1379205656 1724007070 2068808484 2586010605 2758411312 3448014140 4137616968 4310017675 5172021210 5516822624 6896028280 8275233936 8620035350 10344042420 12930053025 13792056560 16550467872 17240070700 20688084840 21550088375 25860106050 27584113120 34480141400 41376169680 43100176750 51720212100 64650265125 68960282800 82752339360 86200353500 103440424200 107750441875 129300530250 137920565600 172400707000 206880848400 215500883750 258601060500 323251325625 344801414000 413761696800 431001767500 517202121000 646502651250 689602828000 862003535000 1034404242000 1293005302500 1724007070000 2068808484000 2586010605000 3448014140000 5172021210000 10344042420000