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111444420000 = 253541857407
BaseRepresentation
bin110011111001010011…
…0101110010110100000
3101122122202100010010010
41213302212232112200
53311214232420000
6123110304404520
711023460640324
oct1476246562640
9348582303103
10111444420000
1143299519251
1219722616740
13a68082bcb4
145572d79984
152d73d13d50
hex19f29ae5a0

111444420000 has 120 divisors (see below), whose sum is σ = 365560183296. Its totient is φ = 29718496000.

The previous prime is 111444419993. The next prime is 111444420001. The reversal of 111444420000 is 24444111.

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

It is not an unprimeable number, because it can be changed into a prime (111444420001) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 868704 + ... + 988703.

Almost surely, 2111444420000 is an apocalyptic number.

111444420000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

111444420000 is an abundant number, since it is smaller than the sum of its proper divisors (254115763296).

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

111444420000 is an equidigital number, since it uses as much as digits as its factorization.

111444420000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1857440 (or 1857417 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

Adding to 111444420000 its reverse (24444111), we get a palindrome (111468864111).

The spelling of 111444420000 in words is "one hundred eleven billion, four hundred forty-four 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 1857407 3714814 5572221 7429628 9287035 11144442 14859256 18574070 22288884 27861105 29718512 37148140 44577768 46435175 55722210 59437024 74296280 89155536 92870350 111444420 139305525 148592560 178311072 185740700 222888840 232175875 278611050 297185120 371481400 445777680 464351750 557222100 696527625 742962800 891555360 928703500 1114444200 1160879375 1393055250 1485925600 1857407000 2228888400 2321758750 2786110500 3482638125 3714814000 4457776800 4643517500 5572221000 6965276250 7429628000 9287035000 11144442000 13930552500 18574070000 22288884000 27861105000 37148140000 55722210000 111444420000