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1044440213140 = 2254173149117101
BaseRepresentation
bin11110011001011010111…
…11001110011010010100
310200211212211112011100001
433030231133032122110
5114103003143310030
62115450442301044
7135313126221442
oct17145537163224
93624784464301
101044440213140
11372a432a9875
1214a504ab7784
137764b22094c
14387a05d9b92
151c27ce7bcca
hexf32d7ce694

1044440213140 has 96 divisors (see below), whose sum is σ = 2292904000800. Its totient is φ = 399301632000.

The previous prime is 1044440213119. The next prime is 1044440213143. The reversal of 1044440213140 is 413120444401.

It can be written as a sum of positive squares in 16 ways, for example, as 892461868804 + 151978344336 = 944702^2 + 389844^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1044440213099 and 1044440213108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1044440213143) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 8860590 + ... + 8977690.

It is an arithmetic number, because the mean of its divisors is an integer number (23884416675).

Almost surely, 21044440213140 is an apocalyptic number.

1044440213140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1044440213140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1146452000400).

1044440213140 is an abundant number, since it is smaller than the sum of its proper divisors (1248463787660).

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

1044440213140 is a wasteful number, since it uses less digits than its factorization.

1044440213140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117373 (or 117371 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

Adding to 1044440213140 its reverse (413120444401), we get a palindrome (1457560657541).

The spelling of 1044440213140 in words is "one trillion, forty-four billion, four hundred forty million, two hundred thirteen thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 41 73 82 146 149 164 205 292 298 365 410 596 730 745 820 1460 1490 2980 2993 5986 6109 10877 11972 12218 14965 21754 24436 29930 30545 43508 54385 59860 61090 108770 117101 122180 217540 234202 445957 468404 585505 891914 1171010 1783828 2229785 2342020 4459570 4801141 8548373 8919140 9602282 17096746 17448049 19204564 24005705 34193492 34896098 42741865 48011410 69792196 85483730 87240245 96022820 170967460 174480490 348960980 350483293 700966586 715370009 1273707577 1401933172 1430740018 1752416465 2547415154 2861480036 3504832930 3576850045 5094830308 6368537885 7009665860 7153700090 12737075770 14307400180 25474151540 52222010657 104444021314 208888042628 261110053285 522220106570 1044440213140