Search a number
-
+
144624512108872 = 23929197928513449
BaseRepresentation
bin100000111000100100000100…
…101010111000100101001000
3200222001222010220122110000201
4200320210010222320211020
5122424012000044440442
61231331330022541544
742314530142446405
oct4070440452704510
9628058126573021
10144624512108872
1142099a02806624
12142792485978b4
136291057597463
14279dc141352ac
1511ac0372617b7
hex838904ab8948

144624512108872 has 64 divisors (see below), whose sum is σ = 271774067400000. Its totient is φ = 72151667404800.

The previous prime is 144624512108861. The next prime is 144624512108873. The reversal of 144624512108872 is 278801215426441.

It is a happy number.

It is a super-2 number, since 2×1446245121088722 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (144624512108873) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 41932301004 + ... + 41932304452.

It is an arithmetic number, because the mean of its divisors is an integer number (4246469803125).

Almost surely, 2144624512108872 is an apocalyptic number.

It is an amenable number.

144624512108872 is a deficient number, since it is larger than the sum of its proper divisors (127149555291128).

144624512108872 is a wasteful number, since it uses less digits than its factorization.

144624512108872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9214 (or 9210 counting only the distinct ones).

The product of its (nonzero) digits is 6881280, while the sum is 55.

The spelling of 144624512108872 in words is "one hundred forty-four trillion, six hundred twenty-four billion, five hundred twelve million, one hundred eight thousand, eight hundred seventy-two".

Divisors: 1 2 4 8 929 1858 1979 2851 3449 3716 3958 5702 6898 7432 7916 11404 13796 15832 22808 27592 1838491 2648579 3204121 3676982 5297158 5642129 6408242 6825571 7353964 9833099 10594316 11284258 12816484 13651142 14707928 19666198 21188632 22568516 25632968 27302284 39332396 45137032 54604568 78664792 5241537841 6340955459 9134948971 10483075682 12681910918 18269897942 19459702921 20966151364 25363821836 36539795884 38919405842 41932302728 50727643672 73079591768 77838811684 155677623368 18078064013609 36156128027218 72312256054436 144624512108872