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242200121440 = 2551513750759
BaseRepresentation
bin1110000110010001000…
…0001001000001100000
3212011011100020222020011
43201210100021001200
512432011212341230
6303133141054304
723332642031014
oct3414420110140
9764140228204
10242200121440
1193797722022
123ab343b7394
1319abb146434
14ba1895c544
15647819de2a
hex3864409060

242200121440 has 24 divisors (see below), whose sum is σ = 572197787280. Its totient is φ = 96880048512.

The previous prime is 242200121417. The next prime is 242200121461. The reversal of 242200121440 is 44121002242.

It is a super-3 number, since 3×2422001214403 (a number of 35 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 756875220 + ... + 756875539.

It is an arithmetic number, because the mean of its divisors is an integer number (23841574470).

Almost surely, 2242200121440 is an apocalyptic number.

242200121440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242200121440 is an abundant number, since it is smaller than the sum of its proper divisors (329997665840).

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

242200121440 is a wasteful number, since it uses less digits than its factorization.

242200121440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1513750774 (or 1513750766 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 22.

Adding to 242200121440 its reverse (44121002242), we get a palindrome (286321123682).

The spelling of 242200121440 in words is "two hundred forty-two billion, two hundred million, one hundred twenty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 1513750759 3027501518 6055003036 7568753795 12110006072 15137507590 24220012144 30275015180 48440024288 60550030360 121100060720 242200121440