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40244020004321 = 737533484984127
BaseRepresentation
bin10010010011010000010101…
…00001000100010111100001
312021111021211221121121112022
421021220022201010113201
520233324223110114241
6221331503023511225
711322351221622530
oct1111501241042741
9167437757547468
1040244020004321
1111906436151031
12461b688a58515
13195bcc1772c73
149d1b6ca08317
1549bc8ca5054b
hex249a0a8445e1

40244020004321 has 32 divisors (see below), whose sum is σ = 48129426892800. Its totient is φ = 32927987828736.

The previous prime is 40244020004311. The next prime is 40244020004339. The reversal of 40244020004321 is 12340002044204.

It is a happy number.

It is not a de Polignac number, because 40244020004321 - 238 = 39969142097377 is a prime.

It is a super-2 number, since 2×402440200043212 (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (40244020004311) 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 31 ways as a sum of consecutive naturals, for example, 478330160 + ... + 478414286.

It is an arithmetic number, because the mean of its divisors is an integer number (1504044590400).

Almost surely, 240244020004321 is an apocalyptic number.

It is an amenable number.

40244020004321 is a deficient number, since it is larger than the sum of its proper divisors (7885406888479).

40244020004321 is a wasteful number, since it uses less digits than its factorization.

40244020004321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119073.

The product of its (nonzero) digits is 6144, while the sum is 26.

Adding to 40244020004321 its reverse (12340002044204), we get a palindrome (52584022048525).

The spelling of 40244020004321 in words is "forty trillion, two hundred forty-four billion, twenty million, four thousand, three hundred twenty-one".

Divisors: 1 7 37 53 259 371 1961 13727 34849 84127 243943 588889 1289413 1846997 3112699 4458731 9025891 12928979 21788893 31211117 68338889 164973047 478372223 1154811329 2931741823 20522192761 108474447451 155382316619 759321132157 1087676216333 5749145714903 40244020004321