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422113211040 = 25351861472543
BaseRepresentation
bin1100010010001111110…
…10000111001010100000
31111100112210110212211010
412021013322013022200
523403441440223130
6521525515020520
742332234044023
oct6110772071240
91440483425733
10422113211040
111530209a3124
1269984a3a740
1330a60a7b0c1
1416604db31ba
15aea7e3b0b0
hex6247e872a0

422113211040 has 96 divisors (see below), whose sum is σ = 1330373915136. Its totient is φ = 112502799360.

The previous prime is 422113211021. The next prime is 422113211059. The reversal of 422113211040 is 40112311224.

It is an interprime number because it is at equal distance from previous prime (422113211021) and next prime (422113211059).

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

It is a junction number, because it is equal to n+sod(n) for n = 422113210998 and 422113211016.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 657009 + ... + 1129551.

It is an arithmetic number, because the mean of its divisors is an integer number (13858061616).

Almost surely, 2422113211040 is an apocalyptic number.

422113211040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

422113211040 is an abundant number, since it is smaller than the sum of its proper divisors (908260704096).

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

422113211040 is a wasteful number, since it uses less digits than its factorization.

422113211040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 474422 (or 474414 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 422113211040 its reverse (40112311224), we get a palindrome (462225522264).

The spelling of 422113211040 in words is "four hundred twenty-two billion, one hundred thirteen million, two hundred eleven thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 1861 3722 5583 7444 9305 11166 14888 18610 22332 27915 29776 37220 44664 55830 59552 74440 89328 111660 148880 178656 223320 297760 446640 472543 893280 945086 1417629 1890172 2362715 2835258 3780344 4725430 5670516 7088145 7560688 9450860 11341032 14176290 15121376 18901720 22682064 28352580 37803440 45364128 56705160 75606880 113410320 226820640 879402523 1758805046 2638207569 3517610092 4397012615 5276415138 7035220184 8794025230 10552830276 13191037845 14070440368 17588050460 21105660552 26382075690 28140880736 35176100920 42211321104 52764151380 70352201840 84422642208 105528302760 140704403680 211056605520 422113211040