Search a number
-
+
144208580628 = 223717100986401
BaseRepresentation
bin1000011001001110000…
…0000101000000010100
3111210020010212221000210
42012103200011000110
54330314344040003
6150125402205420
713263423465450
oct2062340050024
9453203787023
10144208580628
1156181a91052
1223b471b3870
13107a27834a8
146da0559660
153b40448503
hex2193805014

144208580628 has 48 divisors (see below), whose sum is σ = 407177172864. Its totient is φ = 38778777600.

The previous prime is 144208580623. The next prime is 144208580641. The reversal of 144208580628 is 826085802441.

It is a super-2 number, since 2×1442085806282 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144208580623) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 50491773 + ... + 50494628.

It is an arithmetic number, because the mean of its divisors is an integer number (8482857768).

Almost surely, 2144208580628 is an apocalyptic number.

It is an amenable number.

144208580628 is an abundant number, since it is smaller than the sum of its proper divisors (262968592236).

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

144208580628 is a wasteful number, since it uses less digits than its factorization.

144208580628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100986432 (or 100986430 counting only the distinct ones).

The product of its (nonzero) digits is 983040, while the sum is 48.

The spelling of 144208580628 in words is "one hundred forty-four billion, two hundred eight million, five hundred eighty thousand, six hundred twenty-eight".

Divisors: 1 2 3 4 6 7 12 14 17 21 28 34 42 51 68 84 102 119 204 238 357 476 714 1428 100986401 201972802 302959203 403945604 605918406 706904807 1211836812 1413809614 1716768817 2120714421 2827619228 3433537634 4241428842 5150306451 6867075268 8482857684 10300612902 12017381719 20601225804 24034763438 36052145157 48069526876 72104290314 144208580628