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120423442000 = 2453278921589
BaseRepresentation
bin111000000100111001…
…0111110011001010000
3102111211111221200201111
41300021302332121100
53433111400121000
6131153300143104
711462130240121
oct1601162763120
9374744850644
10120423442000
1147086991394
121b409697a94
13b481b45974
145b85690048
1531ec249cba
hex1c09cbe650

120423442000 has 80 divisors (see below), whose sum is σ = 291301779600. Its totient is φ = 48149875200.

The previous prime is 120423441997. The next prime is 120423442057. The reversal of 120423442000 is 244324021.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 33294571024 + 87128870976 = 182468^2 + 295176^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5567206 + ... + 5588794.

It is an arithmetic number, because the mean of its divisors is an integer number (3641272245).

Almost surely, 2120423442000 is an apocalyptic number.

120423442000 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 120423442000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145650889800).

120423442000 is an abundant number, since it is smaller than the sum of its proper divisors (170878337600).

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

120423442000 is a wasteful number, since it uses less digits than its factorization.

120423442000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24401 (or 24385 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

Adding to 120423442000 its reverse (244324021), we get a palindrome (120667766021).

The spelling of 120423442000 in words is "one hundred twenty billion, four hundred twenty-three million, four hundred forty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 2000 2789 5578 11156 13945 21589 22312 27890 43178 44624 55780 69725 86356 107945 111560 139450 172712 215890 223120 278900 345424 348625 431780 539725 557800 697250 863560 1079450 1115600 1394500 1727120 2158900 2698625 2789000 4317800 5397250 5578000 8635600 10794500 21589000 43178000 60211721 120423442 240846884 301058605 481693768 602117210 963387536 1204234420 1505293025 2408468840 3010586050 4816937680 6021172100 7526465125 12042344200 15052930250 24084688400 30105860500 60211721000 120423442000