Search a number
-
+
41812000000 = 285610453
BaseRepresentation
bin100110111100001100…
…000111110100000000
310222220221122200012121
4212330030013310000
51141112333000000
631112544134024
73010066064431
oct467414076400
9128827580177
1041812000000
1116806869501
12812a907314
133c345b4604
1420490c9488
15114ab10b1a
hex9bc307d00

41812000000 has 126 divisors (see below), whose sum is σ = 104334484814. Its totient is φ = 16723200000.

The previous prime is 41811999959. The next prime is 41812000057. The reversal of 41812000000 is 21814.

It is a happy number.

It can be written as a sum of positive squares in 7 ways, for example, as 38365840384 + 3446159616 = 195872^2 + 58704^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 3994774 + ... + 4005226.

Almost surely, 241812000000 is an apocalyptic number.

41812000000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41812000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52167242407).

41812000000 is an abundant number, since it is smaller than the sum of its proper divisors (62522484814).

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

41812000000 is an frugal number, since it uses more digits than its factorization.

41812000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10499 (or 10460 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 41812000000 its reverse (21814), we get a palindrome (41812021814).

The spelling of 41812000000 in words is "forty-one billion, eight hundred twelve million", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 256 320 400 500 625 640 800 1000 1250 1280 1600 2000 2500 3125 3200 4000 5000 6250 6400 8000 10000 10453 12500 15625 16000 20000 20906 25000 31250 32000 40000 41812 50000 52265 62500 80000 83624 100000 104530 125000 160000 167248 200000 209060 250000 261325 334496 400000 418120 500000 522650 668992 800000 836240 1000000 1045300 1306625 1337984 1672480 2000000 2090600 2613250 2675968 3344960 4000000 4181200 5226500 6533125 6689920 8362400 10453000 13066250 13379840 16724800 20906000 26132500 32665625 33449600 41812000 52265000 65331250 66899200 83624000 104530000 130662500 163328125 167248000 209060000 261325000 326656250 334496000 418120000 522650000 653312500 836240000 1045300000 1306625000 1672480000 2090600000 2613250000 4181200000 5226500000 8362400000 10453000000 20906000000 41812000000