Search a number
-
+
143259144 = 23372432833
BaseRepresentation
bin10001000100111…
…11011000001000
3100222120022121020
420202133120020
5243133243034
622114312440
73356453100
oct1042373010
9328508536
10143259144
1173958796
123bb88720
13238ab932
1415052200
15c89c249
hex889f608

143259144 has 96 divisors (see below), whose sum is σ = 426460320. Its totient is φ = 39965184.

The previous prime is 143259133. The next prime is 143259163. The reversal of 143259144 is 441952341.

It is a super-2 number, since 2×1432591442 = 41046364679225472, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 49152 + ... + 51984.

It is an arithmetic number, because the mean of its divisors is an integer number (4442295).

Almost surely, 2143259144 is an apocalyptic number.

143259144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 143259144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213230160).

143259144 is an abundant number, since it is smaller than the sum of its proper divisors (283201176).

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

143259144 is a wasteful number, since it uses less digits than its factorization.

143259144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2899 (or 2888 counting only the distinct ones).

The product of its digits is 17280, while the sum is 33.

The square root of 143259144 is about 11969.0911935702. The cubic root of 143259144 is about 523.2478477035.

The spelling of 143259144 in words is "one hundred forty-three million, two hundred fifty-nine thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 43 49 56 84 86 98 129 147 168 172 196 258 294 301 344 392 516 588 602 903 1032 1176 1204 1806 2107 2408 2833 3612 4214 5666 6321 7224 8428 8499 11332 12642 16856 16998 19831 22664 25284 33996 39662 50568 59493 67992 79324 118986 121819 138817 158648 237972 243638 277634 365457 416451 475944 487276 555268 730914 832902 852733 974552 1110536 1461828 1665804 1705466 2558199 2923656 3331608 3410932 5116398 5969131 6821864 10232796 11938262 17907393 20465592 23876524 35814786 47753048 71629572 143259144