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413315445120340 = 225744951471277477
BaseRepresentation
bin101110111111010001000000…
…0010010010101110101010100
32000012102120102000102002011111
41131332202000102111311110
5413133230012422322330
64023014254431144404
7153026025013662640
oct13576420022256524
92005376360362144
10413315445120340
1110a771106728154
123a433376375104
131498162cb5c719
14740c807b83c20
1532bb43adb132a
hex177e880495d54

413315445120340 has 96 divisors (see below), whose sum is σ = 994360259692800. Its totient is φ = 141364962729984.

The previous prime is 413315445120251. The next prime is 413315445120359. The reversal of 413315445120340 is 43021544513314.

It is a junction number, because it is equal to n+sod(n) for n = 413315445120293 and 413315445120302.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 322901682 + ... + 324179158.

It is an arithmetic number, because the mean of its divisors is an integer number (10357919371800).

Almost surely, 2413315445120340 is an apocalyptic number.

It is an amenable number.

413315445120340 is an abundant number, since it is smaller than the sum of its proper divisors (581044814572460).

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

413315445120340 is a wasteful number, since it uses less digits than its factorization.

413315445120340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1283089 (or 1283087 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 40.

Adding to 413315445120340 its reverse (43021544513314), we get a palindrome (456336989633654).

The spelling of 413315445120340 in words is "four hundred thirteen trillion, three hundred fifteen billion, four hundred forty-five million, one hundred twenty thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 449 898 1796 2245 3143 4490 5147 6286 8980 10294 12572 15715 20588 25735 31430 36029 51470 62860 72058 102940 144116 180145 360290 720580 1277477 2311003 2554954 4622006 5109908 6387385 8942339 9244012 11555015 12774770 16177021 17884678 23110030 25549540 32354042 35769356 44711695 46220060 64708084 80885105 89423390 161770210 178846780 323540420 573587173 1147174346 2294348692 2867935865 4015110211 5735871730 6575174119 8030220422 11471743460 13150348238 16060440844 20075551055 26300696476 32875870595 40151102110 46026218833 65751741190 80302204220 92052437666 131503482380 184104875332 230131094165 460262188330 920524376660 2952253179431 5904506358862 11809012717724 14761265897155 20665772256017 29522531794310 41331544512034 59045063588620 82663089024068 103328861280085 206657722560170 413315445120340