Search a number
-
+
145142142032 = 24193241195029
BaseRepresentation
bin1000011100101100100…
…1010101010001010000
3111212122012112202112002
42013023021111101100
54334222342021112
6150402151453132
713325520565016
oct2071311252120
9455565482462
10145142142032
1156610a565a8
12241679871a8
13108c0ccaba4
14704c5308b6
153b973a41c2
hex21cb255450

145142142032 has 40 divisors (see below), whose sum is σ = 283844321640. Its totient is φ = 71895121920.

The previous prime is 145142142031. The next prime is 145142142077. The reversal of 145142142032 is 230241241541.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 7824463936 + 137317678096 = 88456^2 + 370564^2 .

It is a super-2 number, since 2×1451421420322 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 145142141986 and 145142142004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145142142031) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 646694 + ... + 841722.

It is an arithmetic number, because the mean of its divisors is an integer number (7096108041).

Almost surely, 2145142142032 is an apocalyptic number.

It is an amenable number.

145142142032 is a deficient number, since it is larger than the sum of its proper divisors (138702179608).

145142142032 is a wasteful number, since it uses less digits than its factorization.

145142142032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195471 (or 195465 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 29.

Adding to 145142142032 its reverse (230241241541), we get a palindrome (375383383573).

The spelling of 145142142032 in words is "one hundred forty-five billion, one hundred forty-two million, one hundred forty-two thousand, thirty-two".

Divisors: 1 2 4 8 16 193 241 386 482 772 964 1544 1928 3088 3856 46513 93026 186052 195029 372104 390058 744208 780116 1560232 3120464 37640597 47001989 75281194 94003978 150562388 188007956 301124776 376015912 602249552 752031824 9071383877 18142767754 36285535508 72571071016 145142142032