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42226444000 = 255313812047
BaseRepresentation
bin100111010100111001…
…000110011011100000
311000222211111121111101
4213110321012123200
51142434432202000
631222031124144
73023260565116
oct472471063340
9130884447441
1042226444000
11169a97aa404
128225673654
133c9c412450
14208816dab6
1511721c8e6a
hex9d4e466e0

42226444000 has 96 divisors (see below), whose sum is σ = 111731308416. Its totient is φ = 15591283200.

The previous prime is 42226443989. The next prime is 42226444009. The reversal of 42226444000 is 44462224.

It is a self number, because there is not a number n which added to its sum of digits gives 42226444000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42226444009) by changing a digit.

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, 354024 + ... + 458023.

It is an arithmetic number, because the mean of its divisors is an integer number (1163867796).

Almost surely, 242226444000 is an apocalyptic number.

42226444000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42226444000 is an abundant number, since it is smaller than the sum of its proper divisors (69504864416).

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

42226444000 is a wasteful number, since it uses less digits than its factorization.

42226444000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 812085 (or 812067 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 28.

The spelling of 42226444000 in words is "forty-two billion, two hundred twenty-six million, four hundred forty-four thousand".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 32 40 50 52 65 80 100 104 125 130 160 200 208 250 260 325 400 416 500 520 650 800 1000 1040 1300 1625 2000 2080 2600 3250 4000 5200 6500 10400 13000 26000 52000 812047 1624094 3248188 4060235 6496376 8120470 10556611 12992752 16240940 20301175 21113222 25985504 32481880 40602350 42226444 52783055 64963760 81204700 84452888 101505875 105566110 129927520 162409400 168905776 203011750 211132220 263915275 324818800 337811552 406023500 422264440 527830550 649637600 812047000 844528880 1055661100 1319576375 1624094000 1689057760 2111322200 2639152750 3248188000 4222644400 5278305500 8445288800 10556611000 21113222000 42226444000