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443013040034240 = 26513200115321749
BaseRepresentation
bin110010010111010110000001…
…0111000011101000111000000
32011002120122002110120210000112
41210232230002320131013000
5431031311201222043430
64210113214144010452
7162212431055510624
oct14456540270350700
92132518073523015
10443013040034240
11119180858856145
124182aa8a900a28
1316026c480c33b0
147b57d34807184
153633bbc29d195
hex192eb02e1d1c0

443013040034240 has 112 divisors (see below), whose sum is σ = 1136129849148000. Its totient is φ = 163565840609280.

The previous prime is 443013040034219. The next prime is 443013040034261. The reversal of 443013040034240 is 42430040310344.

It is an interprime number because it is at equal distance from previous prime (443013040034219) and next prime (443013040034261).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 443013040034197 and 443013040034206.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 80584886 + ... + 85906634.

It is an arithmetic number, because the mean of its divisors is an integer number (10144016510250).

Almost surely, 2443013040034240 is an apocalyptic number.

443013040034240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

443013040034240 is an abundant number, since it is smaller than the sum of its proper divisors (693116809113760).

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

443013040034240 is a wasteful number, since it uses less digits than its factorization.

443013040034240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5341790 (or 5341780 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 32.

Adding to 443013040034240 its reverse (42430040310344), we get a palindrome (485443080344584).

The spelling of 443013040034240 in words is "four hundred forty-three trillion, thirteen billion, forty million, thirty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 130 160 208 260 320 416 520 832 1040 2080 4160 20011 40022 80044 100055 160088 200110 260143 320176 400220 520286 640352 800440 1040572 1280704 1300715 1600880 2081144 2601430 3201760 4162288 5202860 5321749 6403520 8324576 10405720 10643498 16649152 20811440 21286996 26608745 41622880 42573992 53217490 69182737 83245760 85147984 106434980 138365474 170295968 212869960 276730948 340591936 345913685 425739920 553461896 691827370 851479840 1106923792 1383654740 1702959680 2213847584 2767309480 4427695168 5534618960 11069237920 22138475840 106493519239 212987038478 425974076956 532467596195 851948153912 1064935192390 1384415750107 1703896307824 2129870384780 2768831500214 3407792615648 4259740769560 5537663000428 6815585231296 6922078750535 8519481539120 11075326000856 13844157501070 17038963078240 22150652001712 27688315002140 34077926156480 44301304003424 55376630004280 88602608006848 110753260008560 221506520017120 443013040034240