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241001244410022 = 236795689367789
BaseRepresentation
bin110110110011000001111001…
…100100000100000010100110
31011121022111100002120002000000
4312303001321210010002212
5223042031022032110042
62212322235424202130
7101522523334422045
oct6663017144040246
91147274302502000
10241001244410022
116a877065641a48
12230437a5169346
13a462420895565
14437274591655c
151ccdede8d174c
hexdb30799040a6

241001244410022 has 112 divisors (see below), whose sum is σ = 548963648232000. Its totient is φ = 79302707482752.

The previous prime is 241001244409993. The next prime is 241001244410063. The reversal of 241001244410022 is 220014442100142.

241001244410022 is a `hidden beast` number, since 2 + 4 + 1 + 0 + 0 + 1 + 244 + 410 + 0 + 2 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 655086504 + ... + 655454292.

Almost surely, 2241001244410022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 241001244410022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274481824116000).

241001244410022 is an abundant number, since it is smaller than the sum of its proper divisors (307962403821978).

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

241001244410022 is an equidigital number, since it uses as much as digits as its factorization.

241001244410022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 373577 (or 373562 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

Adding to 241001244410022 its reverse (220014442100142), we get a palindrome (461015686510164).

The spelling of 241001244410022 in words is "two hundred forty-one trillion, one billion, two hundred forty-four million, four hundred ten thousand, twenty-two".

Divisors: 1 2 3 6 9 18 27 54 79 81 158 162 237 243 474 486 711 729 1422 1458 2133 4266 5689 6399 11378 12798 17067 19197 34134 38394 51201 57591 102402 115182 153603 307206 367789 449431 460809 735578 898862 921618 1103367 1348293 1382427 2206734 2696586 2764854 3310101 4044879 4147281 6620202 8089758 8294562 9930303 12134637 19860606 24269274 29055331 29790909 36403911 58110662 59581818 72807822 87165993 89372727 109211733 174331986 178745454 218423466 261497979 268118181 327635199 522995958 536236362 655270398 784493937 1568987874 2092351621 2353481811 4184703242 4706963622 6277054863 7060445433 12554109726 14120890866 18831164589 21181336299 37662329178 42362672598 56493493767 112986987534 165295778059 169480481301 330591556118 338960962602 495887334177 508441443903 991774668354 1016882887806 1487662002531 1525324331709 2975324005062 3050648663418 4462986007593 8925972015186 13388958022779 26777916045558 40166874068337 80333748136674 120500622205011 241001244410022