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54412235240 = 235111719337691
BaseRepresentation
bin110010101011001110…
…001101000111101000
312012110002012221111212
4302223032031013220
51342414013011430
640555135012252
73634246240226
oct625316150750
9165402187455
1054412235240
1121092319760
12a66666a088
135191bc7acc
1428c2711b16
151636de8b95
hexcab38d1e8

54412235240 has 128 divisors (see below), whose sum is σ = 142150101120. Its totient is φ = 18525388800.

The previous prime is 54412235231. The next prime is 54412235299. The reversal of 54412235240 is 4253221445.

54412235240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 54412235197 and 54412235206.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1424795 + ... + 1462485.

It is an arithmetic number, because the mean of its divisors is an integer number (1110547665).

Almost surely, 254412235240 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54412235240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71075050560).

54412235240 is an abundant number, since it is smaller than the sum of its proper divisors (87737865880).

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

54412235240 is a wasteful number, since it uses less digits than its factorization.

54412235240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37923 (or 37919 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 32.

Adding to 54412235240 its reverse (4253221445), we get a palindrome (58665456685).

The spelling of 54412235240 in words is "fifty-four billion, four hundred twelve million, two hundred thirty-five thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 17 20 22 34 40 44 55 68 85 88 110 136 170 187 193 220 340 374 386 440 680 748 772 935 965 1496 1544 1870 1930 2123 3281 3740 3860 4246 6562 7480 7720 8492 10615 13124 16405 16984 21230 26248 32810 36091 37691 42460 65620 72182 75382 84920 131240 144364 150764 180455 188455 288728 301528 360910 376910 414601 640747 721820 753820 829202 1281494 1443640 1507640 1658404 2073005 2562988 3203735 3316808 4146010 5125976 6407470 7048217 7274363 8292020 12814940 14096434 14548726 16584040 25629880 28192868 29097452 35241085 36371815 56385736 58194904 70482170 72743630 80017993 123664171 140964340 145487260 160035986 247328342 281928680 290974520 320071972 400089965 494656684 618320855 640143944 800179930 989313368 1236641710 1360305881 1600359860 2473283420 2720611762 3200719720 4946566840 5441223524 6801529405 10882447048 13603058810 27206117620 54412235240