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240664000440 = 23352005533337
BaseRepresentation
bin1110000000100010110…
…0010011011110111000
3212000012021202221100210
43200020230103132320
512420334441003230
6302320504431120
723246610152103
oct3401054233670
9760167687323
10240664000440
1193079610636
123a785a784a0
1319904b180b6
14b91093573a
1563d83bbeb0
hex3808b137b8

240664000440 has 32 divisors (see below), whose sum is σ = 721992001680. Its totient is φ = 64177066752.

The previous prime is 240664000399. The next prime is 240664000459. The reversal of 240664000440 is 44000466042.

It is a super-2 number, since 2×2406640004402 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 240664000398 and 240664000407.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 1002766549 + ... + 1002766788.

Almost surely, 2240664000440 is an apocalyptic number.

240664000440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

240664000440 is an abundant number, since it is smaller than the sum of its proper divisors (481328001240).

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

240664000440 is a wasteful number, since it uses less digits than its factorization.

240664000440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2005533351 (or 2005533347 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 240664000440 its reverse (44000466042), we get a palindrome (284664466482).

The spelling of 240664000440 in words is "two hundred forty billion, six hundred sixty-four million, four hundred forty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 2005533337 4011066674 6016600011 8022133348 10027666685 12033200022 16044266696 20055333370 24066400044 30083000055 40110666740 48132800088 60166000110 80221333480 120332000220 240664000440