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413324043042100 = 225222722982196847
BaseRepresentation
bin101110111111010101000000…
…0110000110011110100110100
32000012110101121012220202112011
41131332222000300303310310
5413133400120004321400
64023022235530334004
7153026451045055141
oct13576520060636464
92005411535822464
10413324043042100
1110a774818a64013
123a434b7588a304
13149823a02214a8
14740cdc1a133c8
1532bb790b188ba
hex177ea80c33d34

413324043042100 has 144 divisors (see below), whose sum is σ = 905909660570880. Its totient is φ = 163681206566400.

The previous prime is 413324043042073. The next prime is 413324043042139. The reversal of 413324043042100 is 1240340423314.

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, 4267755877 + ... + 4267852723.

It is an arithmetic number, because the mean of its divisors is an integer number (6291039309520).

Almost surely, 2413324043042100 is an apocalyptic number.

It is an amenable number.

413324043042100 is an abundant number, since it is smaller than the sum of its proper divisors (492585617528780).

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

413324043042100 is a wasteful number, since it uses less digits than its factorization.

413324043042100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98138 (or 98131 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 31.

Adding to 413324043042100 its reverse (1240340423314), we get a palindrome (414564383465414).

The spelling of 413324043042100 in words is "four hundred thirteen trillion, three hundred twenty-four billion, forty-three million, forty-two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 227 229 454 458 821 908 916 1135 1145 1642 2270 2290 3284 4105 4540 4580 5675 5725 8210 11350 11450 16420 20525 22700 22900 41050 51983 82100 96847 103966 186367 188009 193694 207932 259915 372734 376018 387388 484235 519830 745468 752036 931835 940045 968470 1039660 1299575 1863670 1880090 1936940 2421175 2599150 3727340 3760180 4659175 4700225 4842350 5198300 9318350 9400450 9684700 18636700 18800900 21984269 22177963 42678043 43968538 44355926 79511387 85356086 87937076 88711852 109921345 110889815 159022774 170712172 213390215 219842690 221779630 318045548 397556935 426780430 439685380 443559260 549606725 554449075 795113870 853560860 1066951075 1099213450 1108898150 1590227740 1987784675 2133902150 2198426900 2217796300 3975569350 4267804300 5034397601 7951138700 10068795202 18049084849 18208107623 20137590404 25171988005 36098169698 36416215246 50343976010 72196339396 72832430492 90245424245 91040538115 100687952020 125859940025 180490848490 182081076230 251719880050 360981696980 364162152460 451227121225 455202690575 503439760100 902454242450 910405381150 1804908484900 1820810762300 4133240430421 8266480860842 16532961721684 20666202152105 41332404304210 82664808608420 103331010760525 206662021521050 413324043042100