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41434002300 = 223522937128717
BaseRepresentation
bin100110100101101010…
…001011001101111100
310221221121101101211210
4212211222023031330
51134324101033200
631011242244420
72664526131345
oct464552131574
9127847341753
1041434002300
1116632461209
1280441b6710
133ba41a7932
142010c110cc
151127846650
hex9a5a8b37c

41434002300 has 144 divisors (see below), whose sum is σ = 127369035360. Its totient is φ = 10379658240.

The previous prime is 41434002251. The next prime is 41434002359. The reversal of 41434002300 is 320043414.

It is a congruent number.

It is an unprimeable number.

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, 257542 + ... + 386258.

It is an arithmetic number, because the mean of its divisors is an integer number (884507190).

Almost surely, 241434002300 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 41434002300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63684517680).

41434002300 is an abundant number, since it is smaller than the sum of its proper divisors (85935033060).

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

41434002300 is a wasteful number, since it uses less digits than its factorization.

41434002300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128800 (or 128793 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

Adding to 41434002300 its reverse (320043414), we get a palindrome (41754045714).

The spelling of 41434002300 in words is "forty-one billion, four hundred thirty-four million, two thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 29 30 37 50 58 60 74 75 87 100 111 116 145 148 150 174 185 222 290 300 348 370 435 444 555 580 725 740 870 925 1073 1110 1450 1740 1850 2146 2175 2220 2775 2900 3219 3700 4292 4350 5365 5550 6438 8700 10730 11100 12876 16095 21460 26825 32190 53650 64380 80475 107300 128717 160950 257434 321900 386151 514868 643585 772302 1287170 1544604 1930755 2574340 3217925 3732793 3861510 4762529 6435850 7465586 7723020 9525058 9653775 11198379 12871700 14287587 14931172 18663965 19050116 19307550 22396758 23812645 28575174 37327930 38615100 44793516 47625290 55991895 57150348 71437935 74655860 93319825 95250580 111983790 119063225 138113341 142875870 186639650 223967580 238126450 276226682 279959475 285751740 357189675 373279300 414340023 476252900 552453364 559918950 690566705 714379350 828680046 1119837900 1381133410 1428758700 1657360092 2071700115 2762266820 3452833525 4143400230 6905667050 8286800460 10358500575 13811334100 20717001150 41434002300