Search a number
-
+
120454144000 = 21353791489
BaseRepresentation
bin111000000101110100…
…0000110000000000000
3102111220122201111221121
41300023220012000000
53433142230102000
6131200314202024
711462652221251
oct1601350060000
9374818644847
10120454144000
11470a2251243
121b417a23314
13b488305328
145b897a2b28
1531eecb1b1a
hex1c0ba06000

120454144000 has 224 divisors, whose sum is σ = 304645161600. Its totient is φ = 47539814400.

The previous prime is 120454143983. The next prime is 120454144007. The reversal of 120454144000 is 441454021.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120454144007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 80895256 + ... + 80896744.

Almost surely, 2120454144000 is an apocalyptic number.

120454144000 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 120454144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152322580800).

120454144000 is an abundant number, since it is smaller than the sum of its proper divisors (184191017600).

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

120454144000 is an frugal number, since it uses more digits than its factorization.

120454144000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1609 (or 1575 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 25.

Adding to 120454144000 its reverse (441454021), we get a palindrome (120895598021).

The spelling of 120454144000 in words is "one hundred twenty billion, four hundred fifty-four million, one hundred forty-four thousand".