Search a number
-
+
144071676 = 223371491279
BaseRepresentation
bin10001001011001…
…01101111111100
3101001002121012000
420211211233330
5243340243201
622143542300
73366406020
oct1045455774
9331077160
10144071676
1174363201
12402ba990
1323b04718
14151c4380
15c9acd86
hex8965bfc

144071676 has 96 divisors (see below), whose sum is σ = 430080000. Its totient is φ = 40855104.

The previous prime is 144071671. The next prime is 144071677. The reversal of 144071676 is 676170441.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 144071676.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144071671) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 112005 + ... + 113283.

It is an arithmetic number, because the mean of its divisors is an integer number (4480000).

Almost surely, 2144071676 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144071676, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215040000).

144071676 is an abundant number, since it is smaller than the sum of its proper divisors (286008324).

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

144071676 is a wasteful number, since it uses less digits than its factorization.

144071676 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1448 (or 1440 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 144071676 is about 12002.9861284599. The cubic root of 144071676 is about 524.2352293521.

The spelling of 144071676 in words is "one hundred forty-four million, seventy-one thousand, six hundred seventy-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 126 149 189 252 298 378 447 596 756 894 1043 1279 1341 1788 2086 2558 2682 3129 3837 4023 4172 5116 5364 6258 7674 8046 8953 9387 11511 12516 15348 16092 17906 18774 23022 26859 28161 34533 35812 37548 46044 53718 56322 69066 80577 107436 112644 138132 161154 190571 241731 322308 381142 483462 571713 762284 966924 1143426 1333997 1715139 2286852 2667994 3430278 4001991 5145417 5335988 6860556 8003982 10290834 12005973 16007964 20581668 24011946 36017919 48023892 72035838 144071676