Search a number
-
+
144003024412 = 2213193115729947
BaseRepresentation
bin1000011000011100111…
…1111100011000011100
3111202200211002120220121
42012013033330120130
54324404233240122
6150053140324324
713255346340262
oct2060717743034
9452624076817
10144003024412
1156086a53685
1223aaa3a36a4
131076c0021b0
146d8112c432
153b2c392bc7
hex21873fc61c

144003024412 has 96 divisors (see below), whose sum is σ = 296777492480. Its totient is φ = 60543624960.

The previous prime is 144003024383. The next prime is 144003024433. The reversal of 144003024412 is 214420300441.

144003024412 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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, 4793623 + ... + 4823569.

Almost surely, 2144003024412 is an apocalyptic number.

It is an amenable number.

144003024412 is an abundant number, since it is smaller than the sum of its proper divisors (152774468068).

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

144003024412 is a wasteful number, since it uses less digits than its factorization.

144003024412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30171 (or 30169 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

Adding to 144003024412 its reverse (214420300441), we get a palindrome (358423324853).

The spelling of 144003024412 in words is "one hundred forty-four billion, three million, twenty-four thousand, four hundred twelve".

Divisors: 1 2 4 13 19 26 31 38 52 62 76 124 157 247 314 403 494 589 628 806 988 1178 1612 2041 2356 2983 4082 4867 5966 7657 8164 9734 11932 15314 19468 29947 30628 38779 59894 63271 77558 92473 119788 126542 155116 184946 253084 369892 389311 568993 778622 928357 1137986 1202149 1557244 1856714 2275972 2404298 3713428 4701679 4808596 7396909 9403358 12068641 14793818 17638783 18806716 24137282 29587636 35277566 48274564 61121827 70555132 89331901 122243654 145752049 178663802 229304179 244487308 291504098 357327604 458608358 583008196 917216716 1161314713 1894776637 2322629426 2769288931 3789553274 4645258852 5538577862 7579106548 11077155724 36000756103 72001512206 144003024412