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10412404041300 = 2235283493784701
BaseRepresentation
bin1001011110000101001110…
…1001001110011001010100
31100212102020100012012122020
42113201103221032121110
52331044100413310200
634051220430533140
72123162036015112
oct227412351163124
940772210165566
1010412404041300
11335496a6a3218
121201bb10671b0
135a6b68556271
1427dd6a846ab2
15130cb57bcea0
hex97853a4e654

10412404041300 has 144 divisors (see below), whose sum is σ = 30496062002112. Its totient is φ = 2742599552000.

The previous prime is 10412404041287. The next prime is 10412404041343. The reversal of 10412404041300 is 314040421401.

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, 122888950 + ... + 122973650.

It is an arithmetic number, because the mean of its divisors is an integer number (211778208348).

Almost surely, 210412404041300 is an apocalyptic number.

10412404041300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10412404041300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15248031001056).

10412404041300 is an abundant number, since it is smaller than the sum of its proper divisors (20083657960812).

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

10412404041300 is a wasteful number, since it uses less digits than its factorization.

10412404041300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89738 (or 89731 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 10412404041300 its reverse (314040421401), we get a palindrome (10726444462701).

The spelling of 10412404041300 in words is "ten trillion, four hundred twelve billion, four hundred four million, forty-one thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 83 100 150 166 249 300 332 415 498 830 996 1245 1660 2075 2490 4150 4937 4980 6225 8300 9874 12450 14811 19748 24685 24900 29622 49370 59244 74055 84701 98740 123425 148110 169402 246850 254103 296220 338804 370275 409771 423505 493700 508206 740550 819542 847010 1016412 1229313 1270515 1481100 1639084 1694020 2048855 2117525 2458626 2541030 4097710 4235050 4917252 5082060 6146565 6352575 7030183 8195420 8470100 10244275 12293130 12705150 14060366 20488550 21090549 24586260 25410300 28120732 30732825 35150915 40977100 42181098 61465650 70301830 84362196 105452745 122931300 140603660 175754575 210905490 351509150 418168837 421810980 527263725 703018300 836337674 1054527450 1254506511 1672675348 2090844185 2109054900 2509013022 4181688370 5018026044 6272532555 8363376740 10454220925 12545065110 20908441850 25090130220 31362662775 34708013471 41816883700 62725325550 69416026942 104124040413 125450651100 138832053884 173540067355 208248080826 347080134710 416496161652 520620202065 694160269420 867700336775 1041240404130 1735400673550 2082480808260 2603101010325 3470801347100 5206202020650 10412404041300