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42300410411000 = 235376199064193
BaseRepresentation
bin10011001111000110101001…
…11011111011011111111000
312112202212202022221221002002
421213203110323323133320
521021022220031123000
6225544312411000132
711624050413646610
oct1147432473733770
9175685668857062
1042300410411000
11125295599a8aa5
1248b2129a39048
131a7abb09a5981
14a634ca7c1a40
154d54e64268d5
hex2678d4efb7f8

42300410411000 has 128 divisors (see below), whose sum is σ = 114977866124160. Its totient is φ = 14265243648000.

The previous prime is 42300410410987. The next prime is 42300410411009. The reversal of 42300410411000 is 11401400324.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42300410411009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 49105097 + ... + 49959096.

It is an arithmetic number, because the mean of its divisors is an integer number (898264579095).

Almost surely, 242300410411000 is an apocalyptic number.

42300410411000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42300410411000 is an abundant number, since it is smaller than the sum of its proper divisors (72677455713160).

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

42300410411000 is a wasteful number, since it uses less digits than its factorization.

42300410411000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99064282 (or 99064268 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 42300410411000 its reverse (11401400324), we get a palindrome (42311811811324).

The spelling of 42300410411000 in words is "forty-two trillion, three hundred billion, four hundred ten million, four hundred eleven thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 61 70 100 122 125 140 175 200 244 250 280 305 350 427 488 500 610 700 854 875 1000 1220 1400 1525 1708 1750 2135 2440 3050 3416 3500 4270 6100 7000 7625 8540 10675 12200 15250 17080 21350 30500 42700 53375 61000 85400 106750 213500 427000 99064193 198128386 396256772 495320965 693449351 792513544 990641930 1386898702 1981283860 2476604825 2773797404 3467246755 3962567720 4953209650 5547594808 6042915773 6934493510 9906419300 12085831546 12383024125 13868987020 17336233775 19812838600 24171663092 24766048250 27737974040 30214578865 34672467550 42300410411 48343326184 49532096500 60429157730 69344935100 84600820822 86681168875 99064193000 120858315460 138689870200 151072894325 169201641644 173362337750 211502052055 241716630920 302145788650 338403283288 346724675500 423004104110 604291577300 693449351000 755364471625 846008208220 1057510260275 1208583154600 1510728943250 1692016416440 2115020520550 3021457886500 4230041041100 5287551301375 6042915773000 8460082082200 10575102602750 21150205205500 42300410411000