Search a number
-
+
145220143640 = 2351113294911783
BaseRepresentation
bin1000011100111111001…
…0111000101000011000
3111212211122022122121112
42013033302320220120
54334402324044030
6150414015355452
713330455565655
oct2071762705030
9455748278545
10145220143640
1156650a92340
1224189b22b88
131090420b7a0
147058a36c2c
153b9e160a95
hex21cfcb8a18

145220143640 has 256 divisors, whose sum is σ = 398137420800. Its totient is φ = 46942156800.

The previous prime is 145220143637. The next prime is 145220143657. The reversal of 145220143640 is 46341022541.

It is a junction number, because it is equal to n+sod(n) for n = 145220143597 and 145220143606.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 81446189 + ... + 81447971.

It is an arithmetic number, because the mean of its divisors is an integer number (1555224300).

Almost surely, 2145220143640 is an apocalyptic number.

145220143640 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 145220143640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199068710400).

145220143640 is an abundant number, since it is smaller than the sum of its proper divisors (252917277160).

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

145220143640 is a wasteful number, since it uses less digits than its factorization.

145220143640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2338 (or 2334 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 32.

The spelling of 145220143640 in words is "one hundred forty-five billion, two hundred twenty million, one hundred forty-three thousand, six hundred forty".