Search a number
-
+
145221120000 = 212335411191
BaseRepresentation
bin1000011100111111011…
…0100111000000000000
3111212211201011020221000
42013033312213000000
54334403101320000
6150414052332000
713330500103335
oct2071766470000
9455751136830
10145221120000
1156651599950
122418a314000
1310904491008
147058c0c98c
153b9e2a5000
hex21cfda7000

145221120000 has 1040 divisors, whose sum is σ = 589563279360. Its totient is φ = 35020800000.

The previous prime is 145221119999. The next prime is 145221120013. The reversal of 145221120000 is 21122541.

145221120000 is a `hidden beast` number, since 1 + 452 + 2 + 11 + 200 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 760319905 + ... + 760320095.

Almost surely, 2145221120000 is an apocalyptic number.

145221120000 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 145221120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294781639680).

145221120000 is an abundant number, since it is smaller than the sum of its proper divisors (444342159360).

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

145221120000 is an equidigital number, since it uses as much as digits as its factorization.

145221120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

Adding to 145221120000 its reverse (21122541), we get a palindrome (145242242541).

The spelling of 145221120000 in words is "one hundred forty-five billion, two hundred twenty-one million, one hundred twenty thousand".