Search a number
-
+
144343414110 = 235710321131627
BaseRepresentation
bin1000011001101110001…
…0011011010101011110
3111210120112121011210110
42012123202123111132
54331103403222420
6150151020150450
713266651530130
oct2063342332536
9453515534713
10144343414110
1156241104485
1223b84398426
13107c46a200c
146db4417050
153b4c1cdee0
hex219b89b55e

144343414110 has 128 divisors (see below), whose sum is σ = 401664466944. Its totient is φ = 32516588160.

The previous prime is 144343414109. The next prime is 144343414123. The reversal of 144343414110 is 11414343441.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4548117 + ... + 4579743.

It is an arithmetic number, because the mean of its divisors is an integer number (3138003648).

Almost surely, 2144343414110 is an apocalyptic number.

144343414110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 144343414110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200832233472).

144343414110 is an abundant number, since it is smaller than the sum of its proper divisors (257321052834).

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

144343414110 is a wasteful number, since it uses less digits than its factorization.

144343414110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31958.

The product of its (nonzero) digits is 9216, while the sum is 30.

Adding to 144343414110 its reverse (11414343441), we get a palindrome (155757757551).

The spelling of 144343414110 in words is "one hundred forty-four billion, three hundred forty-three million, four hundred fourteen thousand, one hundred ten".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 103 105 206 210 211 309 422 515 618 633 721 1030 1055 1266 1442 1477 1545 2110 2163 2954 3090 3165 3605 4326 4431 6330 7210 7385 8862 10815 14770 21630 21733 22155 31627 43466 44310 63254 65199 94881 108665 130398 152131 158135 189762 217330 221389 304262 316270 325995 442778 456393 474405 651990 664167 760655 912786 948810 1106945 1328334 1521310 2213890 2281965 3257581 3320835 4563930 6515162 6641670 6673297 9772743 13346594 16287905 19545486 20019891 22803067 32575810 33366485 40039782 45606134 46713079 48863715 66732970 68409201 93426158 97727430 100099455 114015335 136818402 140139237 200198910 228030670 233565395 280278474 342046005 467130790 684092010 687349591 700696185 1374699182 1401392370 2062048773 3436747955 4124097546 4811447137 6873495910 9622894274 10310243865 14434341411 20620487730 24057235685 28868682822 48114471370 72171707055 144343414110