Search a number
-
+
120304675008 = 2633731320833
BaseRepresentation
bin111000000001010110…
…1111010100011000000
3102111112020110201001000
41300002231322203000
53432340444100013
6131133414412000
711456155602510
oct1600255724300
9374466421030
10120304675008
1147025941a51
121b395961000
13b46336103b
145b739b5840
1531e1ad9973
hex1c02b7a8c0

120304675008 has 224 divisors, whose sum is σ = 417238200320. Its totient is φ = 33263861760.

The previous prime is 120304674961. The next prime is 120304675021. The reversal of 120304675008 is 800576403021.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 214560 + ... + 535392.

Almost surely, 2120304675008 is an apocalyptic number.

120304675008 is a gapful number since it is divisible by the number (18) 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 120304675008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208619100160).

120304675008 is an abundant number, since it is smaller than the sum of its proper divisors (296933525312).

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

120304675008 is a wasteful number, since it uses less digits than its factorization.

120304675008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320892 (or 320876 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 120304675008 in words is "one hundred twenty billion, three hundred four million, six hundred seventy-five thousand, eight".