Search a number
-
+
145430141244150 = 235273779364313007
BaseRepresentation
bin100001000100010010010111…
…111010001001001011110110
3201001220222121120222212221010
4201010102113322021023312
5123030211412124303100
61233145403511133050
742426660321222510
oct4104222772111366
9631828546885833
10145430141244150
114237a638415a34
1214389404074186
13631c00782c7b9
1427cabdbd2abb0
1511c2e89830750
hex844497e892f6

145430141244150 has 384 divisors, whose sum is σ = 428840118190080. Its totient is φ = 31922142819840.

The previous prime is 145430141244119. The next prime is 145430141244169. The reversal of 145430141244150 is 51442141034541.

It is a super-2 number, since 2×1454301412441502 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 145430141244099 and 145430141244108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 11180906947 + ... + 11180919953.

It is an arithmetic number, because the mean of its divisors is an integer number (1116771141120).

Almost surely, 2145430141244150 is an apocalyptic number.

145430141244150 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 145430141244150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214420059095040).

145430141244150 is an abundant number, since it is smaller than the sum of its proper divisors (283409976945930).

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

145430141244150 is a wasteful number, since it uses less digits than its factorization.

145430141244150 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16788 (or 16783 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 39.

Adding to 145430141244150 its reverse (51442141034541), we get a palindrome (196872282278691).

The spelling of 145430141244150 in words is "one hundred forty-five trillion, four hundred thirty billion, one hundred forty-one million, two hundred forty-four thousand, one hundred fifty".