Search a number
-
+
144312004334240 = 25527191006132971
BaseRepresentation
bin100000110100000001000001…
…110000010101001010100000
3200220222002111201010122002022
4200310001001300111022200
5122403401441102143430
61230532004120441012
742253124666262551
oct4064010160251240
9626862451118068
10144312004334240
1141a894172710a6
1214228772319168
13626a743359292
14278ca49b98328
1511a3d469804e5
hex834041c152a0

144312004334240 has 96 divisors (see below), whose sum is σ = 341106745674240. Its totient is φ = 57696086246400.

The previous prime is 144312004334221. The next prime is 144312004334243. The reversal of 144312004334240 is 42433400213441.

It is a self number, because there is not a number n which added to its sum of digits gives 144312004334240.

It is not an unprimeable number, because it can be changed into a prime (144312004334243) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4376920955 + ... + 4376953925.

It is an arithmetic number, because the mean of its divisors is an integer number (3553195267440).

Almost surely, 2144312004334240 is an apocalyptic number.

144312004334240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144312004334240 is an abundant number, since it is smaller than the sum of its proper divisors (196794741340000).

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

144312004334240 is a wasteful number, since it uses less digits than its factorization.

144312004334240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45766 (or 45758 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 35.

Adding to 144312004334240 its reverse (42433400213441), we get a palindrome (186745404547681).

The spelling of 144312004334240 in words is "one hundred forty-four trillion, three hundred twelve billion, four million, three hundred thirty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 2719 5438 10061 10876 13595 20122 21752 27190 32971 40244 43504 50305 54380 65942 80488 87008 100610 108760 131884 160976 164855 201220 217520 263768 321952 329710 402440 435040 527536 659420 804880 1055072 1318840 1609760 2637680 5275360 27355859 54711718 89648149 109423436 136779295 179296298 218846872 273558590 331721231 358592596 437693744 448240745 547117180 663442462 717185192 875387488 896481490 1094234360 1326884924 1434370384 1658606155 1792962980 2188468720 2653769848 2868740768 3317212310 3585925960 4376937440 5307539696 6634424620 7171851920 10615079392 13268849240 14343703840 26537698480 53075396960 901950027089 1803900054178 3607800108356 4509750135445 7215600216712 9019500270890 14431200433424 18039000541780 28862400866848 36078001083560 72156002167120 144312004334240