Search a number
-
+
145202542452 = 2232112731792551
BaseRepresentation
bin1000011100111010111…
…1101111011101110100
3111212210102012102022200
42013032233233131310
54334333322324302
6150412150224500
713330153150362
oct2071657573564
9455712172280
10145202542452
1156642060300
1224184055130
1310900688196
147056574632
153b9c83581c
hex21cebef774

145202542452 has 216 divisors, whose sum is σ = 411412921920. Its totient is φ = 43138656000.

The previous prime is 145202542451. The next prime is 145202542519. The reversal of 145202542452 is 254245202541.

145202542452 is a `hidden beast` number, since 1 + 45 + 20 + 2 + 542 + 4 + 52 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145202542451) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 56918577 + ... + 56921127.

Almost surely, 2145202542452 is an apocalyptic number.

145202542452 is a gapful number since it is divisible by the number (12) 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 145202542452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205706460960).

145202542452 is an abundant number, since it is smaller than the sum of its proper divisors (266210379468).

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

145202542452 is a wasteful number, since it uses less digits than its factorization.

145202542452 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2835 (or 2819 counting only the distinct ones).

The product of its (nonzero) digits is 128000, while the sum is 36.

Adding to 145202542452 its reverse (254245202541), we get a palindrome (399447744993).

The spelling of 145202542452 in words is "one hundred forty-five billion, two hundred two million, five hundred forty-two thousand, four hundred fifty-two".