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150222144512 = 2101117246147
BaseRepresentation
bin1000101111100111110…
…0000000010000000000
3112100202020110121212002
42023321330000100000
54430123332111022
6153002221523132
713565434105616
oct2137174002000
9470666417762
10150222144512
1158788536660
12251451134a8
13112205bb00b
1473b10996b6
153d93360092
hex22f9f00400

150222144512 has 132 divisors (see below), whose sum is σ = 348008897904. Its totient is φ = 64264765440.

The previous prime is 150222144497. The next prime is 150222144539. The reversal of 150222144512 is 215441222051.

150222144512 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3232223 + ... + 3278369.

Almost surely, 2150222144512 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 150222144512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174004448952).

150222144512 is an abundant number, since it is smaller than the sum of its proper divisors (197786753392).

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

150222144512 is a wasteful number, since it uses less digits than its factorization.

150222144512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46212 (or 46177 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 29.

Adding to 150222144512 its reverse (215441222051), we get a palindrome (365663366563).

The spelling of 150222144512 in words is "one hundred fifty billion, two hundred twenty-two million, one hundred forty-four thousand, five hundred twelve".

Divisors: 1 2 4 8 11 16 17 22 32 34 44 64 68 88 128 136 176 187 256 272 289 352 374 512 544 578 704 748 1024 1088 1156 1408 1496 2176 2312 2816 2992 3179 4352 4624 5632 5984 6358 8704 9248 11264 11968 12716 17408 18496 23936 25432 36992 46147 47872 50864 73984 92294 95744 101728 147968 184588 191488 203456 295936 369176 406912 507617 738352 784499 813824 1015234 1476704 1568998 1627648 2030468 2953408 3137996 3255296 4060936 5906816 6275992 8121872 8629489 11813632 12551984 13336483 16243744 17258978 23627264 25103968 26672966 32487488 34517956 47254528 50207936 53345932 64974976 69035912 100415872 106691864 129949952 138071824 146701313 200831744 213383728 259899904 276143648 293402626 401663488 426767456 519799808 552287296 586805252 803326976 853534912 1104574592 1173610504 1707069824 2209149184 2347221008 3414139648 4418298368 4694442016 6828279296 8836596736 9388884032 13656558592 18777768064 37555536128 75111072256 150222144512