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40055041440 = 2532527816001
BaseRepresentation
bin100101010011011101…
…110110110110100000
310211101111121221011100
4211103131312312200
51124013042311230
630222342314400
72615413143321
oct452335666640
9124344557140
1040055041440
1115a95032537
12791a428a00
133a145b456b
141d1da18448
15109675a660
hex953776da0

40055041440 has 72 divisors (see below), whose sum is σ = 136687833828. Its totient is φ = 10681344000.

The previous prime is 40055041421. The next prime is 40055041457. The reversal of 40055041440 is 4414055004.

It can be written as a sum of positive squares in 2 ways, for example, as 38489731344 + 1565310096 = 196188^2 + 39564^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13906561 + ... + 13909440.

Almost surely, 240055041440 is an apocalyptic number.

40055041440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40055041440 is an abundant number, since it is smaller than the sum of its proper divisors (96632792388).

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

40055041440 is a wasteful number, since it uses less digits than its factorization.

40055041440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27816022 (or 27816011 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 27.

Adding to 40055041440 its reverse (4414055004), we get a palindrome (44469096444).

The spelling of 40055041440 in words is "forty billion, fifty-five million, forty-one thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 27816001 55632002 83448003 111264004 139080005 166896006 222528008 250344009 278160010 333792012 417240015 445056016 500688018 556320020 667584024 834480030 890112032 1001376036 1112640040 1251720045 1335168048 1668960060 2002752072 2225280080 2503440090 2670336096 3337920120 4005504144 4450560160 5006880180 6675840240 8011008288 10013760360 13351680480 20027520720 40055041440