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2144011522120 = 235134359794573
BaseRepresentation
bin11111001100110001000…
…010111001000001001000
321120222001211221011112121
4133030301002321001020
5240111413422201440
64320540103421024
7310620414150106
oct37146102710110
97528054834477
102144011522120
117572a7678966
122a7635154774
131272442503a0
1475ab0b90c76
153ab85e9d34a
hex1f3310b9048

2144011522120 has 64 divisors (see below), whose sum is σ = 5195278937520. Its totient is φ = 791608495104.

The previous prime is 2144011522097. The next prime is 2144011522181. The reversal of 2144011522120 is 212251104412.

It can be written as a sum of positive squares in 8 ways, for example, as 501159221476 + 1642852300644 = 707926^2 + 1281738^2 .

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 15 ways as a sum of consecutive naturals, for example, 22623154 + ... + 22717726.

Almost surely, 22144011522120 is an apocalyptic number.

2144011522120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2144011522120 is an abundant number, since it is smaller than the sum of its proper divisors (3051267415400).

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

2144011522120 is a wasteful number, since it uses less digits than its factorization.

2144011522120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138194 (or 138190 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 25.

Adding to 2144011522120 its reverse (212251104412), we get a palindrome (2356262626532).

The spelling of 2144011522120 in words is "two trillion, one hundred forty-four billion, eleven million, five hundred twenty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 520 43597 87194 94573 174388 189146 217985 348776 378292 435970 472865 566761 756584 871940 945730 1133522 1229449 1743880 1891460 2267044 2458898 2833805 3782920 4534088 4917796 5667610 6147245 9835592 11335220 12294490 22670440 24588980 49177960 4123099081 8246198162 16492396324 20615495405 32984792648 41230990810 53600288053 82461981620 107200576106 164923963240 214401152212 268001440265 428802304424 536002880530 1072005761060 2144011522120