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40220441300 = 225213431734159
BaseRepresentation
bin100101011101010100…
…110011101011010100
310211211000212010010002
4211131110303223110
51124332413110200
630251011350432
72622462052544
oct453524635324
9124730763102
1040220441300
111606a432936
1279658b2418
133a3c945ac0
141d37991324
1510a602cbd5
hex95d533ad4

40220441300 has 144 divisors (see below), whose sum is σ = 96757140480. Its totient is φ = 14417948160.

The previous prime is 40220441299. The next prime is 40220441309. The reversal of 40220441300 is 314402204.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40220441309) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9668621 + ... + 9672779.

Almost surely, 240220441300 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 40220441300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48378570240).

40220441300 is an abundant number, since it is smaller than the sum of its proper divisors (56536699180).

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

40220441300 is a wasteful number, since it uses less digits than its factorization.

40220441300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4402 (or 4395 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 40220441300 its reverse (314402204), we get a palindrome (40534843504).

The spelling of 40220441300 in words is "forty billion, two hundred twenty million, four hundred forty-one thousand, three hundred".

Divisors: 1 2 4 5 10 13 20 25 26 43 50 52 65 86 100 130 172 173 215 260 325 346 430 559 650 692 860 865 1075 1118 1300 1730 2150 2236 2249 2795 3460 4159 4300 4325 4498 5590 7439 8318 8650 8996 11180 11245 13975 14878 16636 17300 20795 22490 27950 29756 37195 41590 44980 54067 55900 56225 74390 83180 96707 103975 108134 112450 148780 178837 185975 193414 207950 216268 224900 270335 357674 371950 386828 415900 483535 540670 715348 719507 743900 894185 967070 1081340 1351675 1439014 1788370 1934140 2324881 2417675 2703350 2878028 3576740 3597535 4470925 4649762 4835350 5406700 7195070 8941850 9299524 9353591 9670700 11624405 14390140 17883700 17987675 18707182 23248810 30938801 35975350 37414364 46497620 46767955 58122025 61877602 71950700 93535910 116244050 123755204 154694005 187071820 232488100 233839775 309388010 402204413 467679550 618776020 773470025 804408826 935359100 1546940050 1608817652 2011022065 3093880100 4022044130 8044088260 10055110325 20110220650 40220441300