Search a number
-
+
145044052344 = 23326217324031
BaseRepresentation
bin1000011100010101001…
…1001001100101111000
3111212101100222021202200
42013011103021211320
54334022234133334
6150344325230200
713323220050162
oct2070523114570
9455340867680
10145044052344
115657064a344
122413ab62360
13108a68a5a59
14703d4b9932
153b8d97a799
hex21c54c9978

145044052344 has 48 divisors (see below), whose sum is σ = 392892040320. Its totient is φ = 48340091520.

The previous prime is 145044052339. The next prime is 145044052379. The reversal of 145044052344 is 443250440541.

145044052344 is a `hidden beast` number, since 1 + 4 + 50 + 4 + 40 + 523 + 44 = 666.

It is a super-3 number, since 3×1450440523443 (a number of 34 digits) contains 333 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 145044052299 and 145044052308.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 285609 + ... + 609639.

It is an arithmetic number, because the mean of its divisors is an integer number (8185250840).

Almost surely, 2145044052344 is an apocalyptic number.

It is an amenable number.

145044052344 is an abundant number, since it is smaller than the sum of its proper divisors (247847987976).

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

145044052344 is a wasteful number, since it uses less digits than its factorization.

145044052344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330260 (or 330253 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 36.

Adding to 145044052344 its reverse (443250440541), we get a palindrome (588294492885).

The spelling of 145044052344 in words is "one hundred forty-five billion, forty-four million, fifty-two thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 6217 12434 18651 24868 37302 49736 55953 74604 111906 149208 223812 324031 447624 648062 972093 1296124 1944186 2592248 2916279 3888372 5832558 7776744 11665116 23330232 2014500727 4029001454 6043502181 8058002908 12087004362 16116005816 18130506543 24174008724 36261013086 48348017448 72522026172 145044052344