Search a number
-
+
120403450350000 = 2435559909749
BaseRepresentation
bin11011011000000110011100…
…111000110100100110110000
3120210022110100110210100100000
4123120012130320310212300
5111240142231242200000
61104024325334030000
734234601512445466
oct3330063470644660
9523273313710300
10120403450350000
11354008a88a1634
1211606bb3aa8300
135224cc583c61c
1421a37b5588836
15ddbe83e00000
hex6d819ce349b0

120403450350000 has 360 divisors, whose sum is σ = 436775243814000. Its totient is φ = 32107583520000.

The previous prime is 120403450349939. The next prime is 120403450350011. The reversal of 120403450350000 is 53054304021.

120403450350000 is a `hidden beast` number, since 1 + 204 + 0 + 3 + 450 + 3 + 5 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7195126 + ... + 17104874.

It is an arithmetic number, because the mean of its divisors is an integer number (1213264566150).

Almost surely, 2120403450350000 is an apocalyptic number.

120403450350000 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 120403450350000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218387621907000).

120403450350000 is an abundant number, since it is smaller than the sum of its proper divisors (316371793464000).

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

120403450350000 is an frugal number, since it uses more digits than its factorization.

120403450350000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9909797 (or 9909759 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The spelling of 120403450350000 in words is "one hundred twenty trillion, four hundred three billion, four hundred fifty million, three hundred fifty thousand".