Search a number
-
+
145214312012 = 227211611104157
BaseRepresentation
bin1000011100111101110…
…0101000111001001100
3111212211020100101010022
42013033130220321030
54334344330441022
6150413250401312
713330355200100
oct2071734507114
9455736311108
10145214312012
1156648769a10
1224187b90238
1310902c49313
147057d59900
153b9d8acc42
hex21cf728e4c

145214312012 has 72 divisors (see below), whose sum is σ = 327775927248. Its totient is φ = 55649462400.

The previous prime is 145214311993. The next prime is 145214312017. The reversal of 145214312012 is 210213412541.

It is a happy number.

145214312012 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (145214312017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 420563 + ... + 683594.

It is an arithmetic number, because the mean of its divisors is an integer number (4552443434).

Almost surely, 2145214312012 is an apocalyptic number.

It is an amenable number.

145214312012 is an abundant number, since it is smaller than the sum of its proper divisors (182561615236).

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

145214312012 is a wasteful number, since it uses less digits than its factorization.

145214312012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1104247 (or 1104238 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 26.

Adding to 145214312012 its reverse (210213412541), we get a palindrome (355427724553).

The spelling of 145214312012 in words is "one hundred forty-five billion, two hundred fourteen million, three hundred twelve thousand, twelve".

Divisors: 1 2 4 7 11 14 22 28 44 49 61 77 98 122 154 196 244 308 427 539 671 854 1078 1342 1708 2156 2684 2989 4697 5978 9394 11956 18788 32879 65758 131516 1104157 2208314 4416628 7729099 12145727 15458198 24291454 30916396 48582908 54103693 67353577 85020089 108207386 134707154 170040178 216414772 269414308 340080356 471475039 595140623 740889347 942950078 1190281246 1481778694 1885900156 2380562492 2963557388 3300325273 5186225429 6600650546 10372450858 13201301092 20744901716 36303578003 72607156006 145214312012