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422541200310240 = 25351180026742483
BaseRepresentation
bin110000000010011001000101…
…0001001011011111111100000
32001102002112200202102210121110
41200010302022021123333200
5420340403334234411430
64054400425255023320
7155000410563132354
oct14004621211337740
92042075622383543
10422541200310240
111126a8797a48890
123b48339506ab40
13151a0605b688cb
14764b163317464
1533cb3edb597b0
hex1804c8a25bfe0

422541200310240 has 96 divisors (see below), whose sum is σ = 1452005215629696. Its totient is φ = 102434230376960.

The previous prime is 422541200310233. The next prime is 422541200310253. The reversal of 422541200310240 is 42013002145224.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 422541200310198 and 422541200310207.

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, 40013365962 + ... + 40013376521.

It is an arithmetic number, because the mean of its divisors is an integer number (15125054329476).

Almost surely, 2422541200310240 is an apocalyptic number.

422541200310240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

422541200310240 is an abundant number, since it is smaller than the sum of its proper divisors (1029464015319456).

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

422541200310240 is a wasteful number, since it uses less digits than its factorization.

422541200310240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80026742512 (or 80026742504 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

Adding to 422541200310240 its reverse (42013002145224), we get a palindrome (464554202455464).

The spelling of 422541200310240 in words is "four hundred twenty-two trillion, five hundred forty-one billion, two hundred million, three hundred ten thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 66 80 88 96 110 120 132 160 165 176 220 240 264 330 352 440 480 528 660 880 1056 1320 1760 2640 5280 80026742483 160053484966 240080227449 320106969932 400133712415 480160454898 640213939864 800267424830 880294167313 960320909796 1200401137245 1280427879728 1600534849660 1760588334626 1920641819592 2400802274490 2560855759456 2640882501939 3201069699320 3521176669252 3841283639184 4401470836565 4801604548980 5281765003878 6402139398640 7042353338504 7682567278368 8802941673130 9603209097960 10563530007756 12804278797280 13204412509695 14084706677008 17605883346260 19206418195920 21127060015512 26408825019390 28169413354016 35211766692520 38412836391840 42254120031024 52817650038780 70423533385040 84508240062048 105635300077560 140847066770080 211270600155120 422541200310240