Search a number
-
+
144100513305234 = 23379151223700899
BaseRepresentation
bin100000110000111100000011…
…111010000101001010010010
3200220012212121112110012012000
4200300330003322011022102
5122341420322401231414
61230250510102014430
742231630024221343
oct4060740372051222
9626185545405160
10144100513305234
1141a07759082812
12141b378a417416
13625380a47ba75
1427827059080ca
15119d5b97c6b09
hex830f03e85292

144100513305234 has 64 divisors (see below), whose sum is σ = 326424353280000. Its totient is φ = 47111409118800.

The previous prime is 144100513305193. The next prime is 144100513305257. The reversal of 144100513305234 is 432503315001441.

144100513305234 is a `hidden beast` number, since 1 + 4 + 4 + 100 + 5 + 13 + 305 + 234 = 666.

144100513305234 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 (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 111206284 + ... + 112494615.

It is an arithmetic number, because the mean of its divisors is an integer number (5100380520000).

Almost surely, 2144100513305234 is an apocalyptic number.

144100513305234 is an abundant number, since it is smaller than the sum of its proper divisors (182323839974766).

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

144100513305234 is a wasteful number, since it uses less digits than its factorization.

144100513305234 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223701140 (or 223701134 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

Adding to 144100513305234 its reverse (432503315001441), we get a palindrome (576603828306675).

The spelling of 144100513305234 in words is "one hundred forty-four trillion, one hundred billion, five hundred thirteen million, three hundred five thousand, two hundred thirty-four".

Divisors: 1 2 3 6 9 18 27 54 79 151 158 237 302 453 474 711 906 1359 1422 2133 2718 4077 4266 8154 11929 23858 35787 71574 107361 214722 322083 644166 223700899 447401798 671102697 1342205394 2013308091 4026616182 6039924273 12079848546 17672371021 33778835749 35344742042 53017113063 67557671498 101336507247 106034226126 159051339189 202673014494 304009521741 318102678378 477154017567 608019043482 912028565223 954308035134 1824057130446 2668528024171 5337056048342 8005584072513 16011168145026 24016752217539 48033504435078 72050256652617 144100513305234