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5514301120 = 26579331659
BaseRepresentation
bin1010010001010110…
…11000111011000000
3112020022010112001211
411020223120323000
542243130113440
62311102335504
7253435533436
oct51053307300
915208115054
105514301120
11237a752059
12109a88a594
1369b580193
143a44dad56
15224196eea
hex148ad8ec0

5514301120 has 112 divisors (see below), whose sum is σ = 13357555200. Its totient is φ = 2167925760.

The previous prime is 5514301097. The next prime is 5514301127. The reversal of 5514301120 is 211034155.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 5514301091 and 5514301100.

It is not an unprimeable number, because it can be changed into a prime (5514301127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8367351 + ... + 8368009.

Almost surely, 25514301120 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 5514301120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6678777600).

5514301120 is an abundant number, since it is smaller than the sum of its proper divisors (7843254080).

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

5514301120 is a wasteful number, since it uses less digits than its factorization.

5514301120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1086 (or 1076 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 22.

The square root of 5514301120 is about 74258.3404069873. The cubic root of 5514301120 is about 1766.7027809555.

Adding to 5514301120 its reverse (211034155), we get a palindrome (5725335275).

The spelling of 5514301120 in words is "five billion, five hundred fourteen million, three hundred one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 79 80 158 160 316 320 331 395 632 659 662 790 1264 1318 1324 1580 1655 2528 2636 2648 3160 3295 3310 5056 5272 5296 6320 6590 6620 10544 10592 12640 13180 13240 21088 21184 25280 26149 26360 26480 42176 52061 52298 52720 52960 104122 104596 105440 105920 130745 208244 209192 210880 218129 260305 261490 416488 418384 436258 520610 522980 832976 836768 872516 1041220 1045960 1090645 1665952 1673536 1745032 2082440 2091920 2181290 3331904 3490064 4164880 4183840 4362580 6980128 8329760 8367680 8725160 13960256 16659520 17232191 17450320 34464382 34900640 68928764 69801280 86160955 137857528 172321910 275715056 344643820 551430112 689287640 1102860224 1378575280 2757150560 5514301120