Search a number
-
+
144210411234 = 23337471535689
BaseRepresentation
bin1000011001001110011…
…1000011111011100010
3111210020021022221011000
42012103213003323202
54330320331124414
6150125505332430
713263445161501
oct2062347037342
9453207287130
10144210411234
115618302144a
1223b47937116
13107a2c747a6
146da08b4838
153b406aab09
hex21939c3ee2

144210411234 has 64 divisors (see below), whose sum is σ = 336131827200. Its totient is φ = 45775787904.

The previous prime is 144210411193. The next prime is 144210411251. The reversal of 144210411234 is 432114012441.

144210411234 is a `hidden beast` number, since 1 + 4 + 4 + 2 + 10 + 411 + 234 = 666.

144210411234 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 144210411198 and 144210411207.

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, 673939 + ... + 861750.

It is an arithmetic number, because the mean of its divisors is an integer number (5252059800).

Almost surely, 2144210411234 is an apocalyptic number.

144210411234 is an abundant number, since it is smaller than the sum of its proper divisors (191921415966).

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

144210411234 is a wasteful number, since it uses less digits than its factorization.

144210411234 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1535784 (or 1535778 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 144210411234 its reverse (432114012441), we get a palindrome (576324423675).

The spelling of 144210411234 in words is "one hundred forty-four billion, two hundred ten million, four hundred eleven thousand, two hundred thirty-four".

Divisors: 1 2 3 6 9 18 27 37 47 54 74 94 111 141 222 282 333 423 666 846 999 1269 1739 1998 2538 3478 5217 10434 15651 31302 46953 93906 1535689 3071378 4607067 9214134 13821201 27642402 41463603 56820493 72177383 82927206 113640986 144354766 170461479 216532149 340922958 433064298 511384437 649596447 1022768874 1299192894 1534153311 1948789341 2670563171 3068306622 3897578682 5341126342 8011689513 16023379026 24035068539 48070137078 72105205617 144210411234