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1440131032120 = 235114677008619
BaseRepresentation
bin10100111101001110011…
…111111010010000111000
312002200020012121110020211
4110331032133322100320
5142043342021011440
63021330450000504
7206021534540464
oct24751637722070
95080205543224
101440131032120
11505835472740
121b3134b76134
13a5a5ab76921
144d9ba3654a4
15276db3caeea
hex14f4e7fa438

1440131032120 has 64 divisors (see below), whose sum is σ = 3542436892800. Its totient is φ = 522562558080.

The previous prime is 1440131032111. The next prime is 1440131032211. The reversal of 1440131032120 is 212301310441.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 1440131032091 and 1440131032100.

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 15 ways as a sum of consecutive naturals, for example, 3298830 + ... + 3709789.

It is an arithmetic number, because the mean of its divisors is an integer number (55350576450).

Almost surely, 21440131032120 is an apocalyptic number.

1440131032120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1440131032120 is an abundant number, since it is smaller than the sum of its proper divisors (2102305860680).

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

1440131032120 is a wasteful number, since it uses less digits than its factorization.

1440131032120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7009108 (or 7009104 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 1440131032120 its reverse (212301310441), we get a palindrome (1652432342561).

The spelling of 1440131032120 in words is "one trillion, four hundred forty billion, one hundred thirty-one million, thirty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 467 934 1868 2335 3736 4670 5137 9340 10274 18680 20548 25685 41096 51370 102740 205480 7008619 14017238 28034476 35043095 56068952 70086190 77094809 140172380 154189618 280344760 308379236 385474045 616758472 770948090 1541896180 3083792360 3273025073 6546050146 13092100292 16365125365 26184200584 32730250730 36003275803 65460501460 72006551606 130921002920 144013103212 180016379015 288026206424 360032758030 720065516060 1440131032120