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244110331120 = 24525167717957
BaseRepresentation
bin1110001101011000011…
…1000000110011110000
3212100002110122200021211
43203112013000303300
512444414221043440
6304050455325504
723431165402315
oct3432607006360
9770073580254
10244110331120
1194587a10907
123b388080894
131a033b13116
14bb5a522d0c
15653ac26eea
hex38d61c0cf0

244110331120 has 80 divisors (see below), whose sum is σ = 570691160928. Its totient is φ = 97106048000.

The previous prime is 244110331109. The next prime is 244110331159. The reversal of 244110331120 is 21133011442.

244110331120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 244110331091 and 244110331100.

It is a congruent number.

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, 13585182 + ... + 13603138.

Almost surely, 2244110331120 is an apocalyptic number.

244110331120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

244110331120 is an abundant number, since it is smaller than the sum of its proper divisors (326580829808).

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

244110331120 is a wasteful number, since it uses less digits than its factorization.

244110331120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18898 (or 18892 counting only the distinct ones).

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

Adding to 244110331120 its reverse (21133011442), we get a palindrome (265243342562).

The spelling of 244110331120 in words is "two hundred forty-four billion, one hundred ten million, three hundred thirty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 251 502 677 1004 1255 1354 2008 2510 2708 3385 4016 5020 5416 6770 10040 10832 13540 17957 20080 27080 35914 54160 71828 89785 143656 169927 179570 287312 339854 359140 679708 718280 849635 1359416 1436560 1699270 2718832 3398540 4507207 6797080 9014414 12156889 13594160 18028828 22536035 24313778 36057656 45072070 48627556 60784445 72115312 90144140 97255112 121568890 180288280 194510224 243137780 360576560 486275560 972551120 3051379139 6102758278 12205516556 15256895695 24411033112 30513791390 48822066224 61027582780 122055165560 244110331120