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240021331312240 = 24526884311159921
BaseRepresentation
bin110110100100110001010010…
…001100001111111001110000
31011110211211000021012000012101
4312210301102030033321300
5222430002141303442430
62210252135525510144
7101361653225501122
oct6644612214177160
91143754007160171
10240021331312240
116a529525200a95
1222b058aa272354
13a3c0bb6cb059a
14433b147137212
151cb378b84edca
hexda4c5230fe70

240021331312240 has 40 divisors (see below), whose sum is σ = 558051721051248. Its totient is φ = 96008166804480.

The previous prime is 240021331312237. The next prime is 240021331312319. The reversal of 240021331312240 is 42213133120042.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×2400213313122402 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 240021331312199 and 240021331312208.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15927480 + ... + 27087400.

Almost surely, 2240021331312240 is an apocalyptic number.

240021331312240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

240021331312240 is an abundant number, since it is smaller than the sum of its proper divisors (318030389739008).

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

240021331312240 is a wasteful number, since it uses less digits than its factorization.

240021331312240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11428777 (or 11428771 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 240021331312240 its reverse (42213133120042), we get a palindrome (282234464432282).

The spelling of 240021331312240 in words is "two hundred forty trillion, twenty-one billion, three hundred thirty-one million, three hundred twelve thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 268843 537686 1075372 1344215 2150744 2688430 4301488 5376860 10753720 11159921 21507440 22319842 44639684 55799605 89279368 111599210 178558736 223198420 446396840 892793680 3000266641403 6000533282806 12001066565612 15001333207015 24002133131224 30002666414030 48004266262448 60005332828060 120010665656120 240021331312240