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4013413041300 = 22352131093941519
BaseRepresentation
bin111010011001110010000…
…011110000010010010100
3112012200022122200210112120
4322121302003300102110
51011223432214310200
612311423030015540
7562650054656565
oct72316203602224
915180278623476
104013413041300
11130809603a073
125499abaa75b0
13231603926970
14dc3708a616c
156e5e87e99a0
hex3a6720f0494

4013413041300 has 144 divisors (see below), whose sum is σ = 12516838037760. Its totient is φ = 987012149760.

The previous prime is 4013413041277. The next prime is 4013413041329. The reversal of 4013413041300 is 31403143104.

It is a super-2 number, since 2×40134130413002 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3791941 + ... + 4733459.

Almost surely, 24013413041300 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 4013413041300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6258419018880).

4013413041300 is an abundant number, since it is smaller than the sum of its proper divisors (8503424996460).

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

4013413041300 is a wasteful number, since it uses less digits than its factorization.

4013413041300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 942642 (or 942635 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 4013413041300 its reverse (31403143104), we get a palindrome (4044816184404).

The spelling of 4013413041300 in words is "four trillion, thirteen billion, four hundred thirteen million, forty-one thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 25 26 30 39 50 52 60 65 75 78 100 130 150 156 195 260 300 325 390 650 780 975 1093 1300 1950 2186 3279 3900 4372 5465 6558 10930 13116 14209 16395 21860 27325 28418 32790 42627 54650 56836 65580 71045 81975 85254 109300 142090 163950 170508 213135 284180 327900 355225 426270 710450 852540 941519 1065675 1420900 1883038 2131350 2824557 3766076 4262700 4707595 5649114 9415190 11298228 12239747 14122785 18830380 23537975 24479494 28245570 36719241 47075950 48958988 56491140 61198735 70613925 73438482 94151900 122397470 141227850 146876964 183596205 244794940 282455700 305993675 367192410 611987350 734384820 917981025 1029080267 1223974700 1835962050 2058160534 3087240801 3671924100 4116321068 5145401335 6174481602 10290802670 12348963204 13378043471 15436204005 20581605340 25727006675 26756086942 30872408010 40134130413 51454013350 53512173884 61744816020 66890217355 77181020025 80268260826 102908026700 133780434710 154362040050 160536521652 200670652065 267560869420 308724080100 334451086775 401341304130 668902173550 802682608260 1003353260325 1337804347100 2006706520650 4013413041300