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1032224314144 = 25414318296659
BaseRepresentation
bin11110000010101010101…
…11010001001100100000
310122200100111011012020111
433001111113101030200
5113402443411023034
62110110341221104
7134401323621532
oct17012527211440
93580314135214
101032224314144
11368844796081
12148075a01794
137645242624a
1437d6205b852
151bcb57b1364
hexf0555d1320

1032224314144 has 48 divisors (see below), whose sum is σ = 2130170343840. Its totient is φ = 491814167040.

The previous prime is 1032224314141. The next prime is 1032224314183. The reversal of 1032224314144 is 4414134222301.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (1032224314141) 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 7 ways as a sum of consecutive naturals, for example, 9091914 + ... + 9204745.

It is an arithmetic number, because the mean of its divisors is an integer number (44378548830).

Almost surely, 21032224314144 is an apocalyptic number.

It is an amenable number.

1032224314144 is an abundant number, since it is smaller than the sum of its proper divisors (1097946029696).

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

1032224314144 is a wasteful number, since it uses less digits than its factorization.

1032224314144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18296753 (or 18296745 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 31.

Adding to 1032224314144 its reverse (4414134222301), we get a palindrome (5446358536445).

The spelling of 1032224314144 in words is "one trillion, thirty-two billion, two hundred twenty-four million, three hundred fourteen thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 32 41 43 82 86 164 172 328 344 656 688 1312 1376 1763 3526 7052 14104 28208 56416 18296659 36593318 73186636 146373272 292746544 585493088 750163019 786756337 1500326038 1573512674 3000652076 3147025348 6001304152 6294050696 12002608304 12588101392 24005216608 25176202784 32257009817 64514019634 129028039268 258056078536 516112157072 1032224314144