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42334431031440 = 2432558797820877
BaseRepresentation
bin10011010000000110000001…
…01110010011000010010000
312112220010120021202111211100
421220003000232103002100
521022101403321001230
6230012100310544400
711626363444314132
oct1150030056230220
9175803507674740
1042334431031440
1112541a2772a739
1248b8843368100
131a8117302c102
14a64dd6bcb052
154d6337eea660
hex2680c0b93090

42334431031440 has 60 divisors (see below), whose sum is σ = 142173130883004. Its totient is φ = 11289181608192.

The previous prime is 42334431031433. The next prime is 42334431031463. The reversal of 42334431031440 is 4413013443324.

42334431031440 is a `hidden beast` number, since 4 + 2 + 334 + 4 + 3 + 1 + 0 + 314 + 4 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 26118314129664 + 16216116901776 = 5110608^2 + 4026924^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 42334431031395 and 42334431031404.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 29398909719 + ... + 29398911158.

Almost surely, 242334431031440 is an apocalyptic number.

42334431031440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42334431031440 is an abundant number, since it is smaller than the sum of its proper divisors (99838699851564).

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

42334431031440 is a wasteful number, since it uses less digits than its factorization.

42334431031440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58797820896 (or 58797820887 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 36.

Adding to 42334431031440 its reverse (4413013443324), we get a palindrome (46747444474764).

The spelling of 42334431031440 in words is "forty-two trillion, three hundred thirty-four billion, four hundred thirty-one million, thirty-one thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 58797820877 117595641754 176393462631 235191283508 293989104385 352786925262 470382567016 529180387893 587978208770 705573850524 881967313155 940765134032 1058360775786 1175956417540 1411147701048 1763934626310 2116721551572 2351912835080 2645901939465 2822295402096 3527869252620 4233443103144 4703825670160 5291803878930 7055738505240 8466886206288 10583607757860 14111477010480 21167215515720 42334431031440