Search a number
-
+
120028194000 = 2432531113217211
BaseRepresentation
bin110111111001000111…
…1001110010011010000
3102110210222020000101200
41233302033032103100
53431304204202000
6131050140431200
711446260546441
oct1576217162320
9373728200350
10120028194000
11469a3871750
121b319248500
13b41aca9300
145b48da52c8
1531c76c4500
hex1bf23ce4d0

120028194000 has 1440 divisors, whose sum is σ = 526829816448. Its totient is φ = 25159680000.

The previous prime is 120028193963. The next prime is 120028194019. The reversal of 120028194000 is 491820021.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 568853895 + ... + 568854105.

Almost surely, 2120028194000 is an apocalyptic number.

120028194000 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 120028194000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263414908224).

120028194000 is an abundant number, since it is smaller than the sum of its proper divisors (406801622448).

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

120028194000 is a wasteful number, since it uses less digits than its factorization.

120028194000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 294 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

It can be divided in two parts, 120028 and 194000, that added together give a triangular number (314028 = T792).

The spelling of 120028194000 in words is "one hundred twenty billion, twenty-eight million, one hundred ninety-four thousand".