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14811122840 = 23517375367
BaseRepresentation
bin11011100101100111…
…11100110010011000
31102020012201222221012
431302303330302120
5220313121412330
610445405433052
71033014316103
oct156263746230
942205658835
1014811122840
116310546898
122a5426b788
131520687717
14a070d973a
155ba455c95
hex372cfcc98

14811122840 has 64 divisors (see below), whose sum is σ = 35407886400. Its totient is φ = 5575878144.

The previous prime is 14811122819. The next prime is 14811122947. The reversal of 14811122840 is 4822111841.

It is a junction number, because it is equal to n+sod(n) for n = 14811122797 and 14811122806.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 158837 + ... + 234203.

It is an arithmetic number, because the mean of its divisors is an integer number (553248225).

Almost surely, 214811122840 is an apocalyptic number.

14811122840 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 14811122840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17703943200).

14811122840 is an abundant number, since it is smaller than the sum of its proper divisors (20596763560).

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

14811122840 is an equidigital number, since it uses as much as digits as its factorization.

14811122840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75429 (or 75391 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 32.

The spelling of 14811122840 in words is "fourteen billion, eight hundred eleven million, one hundred twenty-two thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 289 340 578 680 1156 1445 2312 2890 4913 5780 9826 11560 19652 24565 39304 49130 75367 98260 150734 196520 301468 376835 602936 753670 1281239 1507340 2562478 3014680 5124956 6406195 10249912 12812390 21781063 25624780 43562126 51249560 87124252 108905315 174248504 217810630 370278071 435621260 740556142 871242520 1481112284 1851390355 2962224568 3702780710 7405561420 14811122840