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13110444144 = 2432719684547
BaseRepresentation
bin11000011010111000…
…11000000001110000
31020211200121120100100
430031130120001300
5203322233203034
610004534152400
7642613636140
oct141534300160
936750546310
1013110444144
11561855a806
12265a7b2700
13130c231275
148c52b8920
1551aebb099
hex30d718070

13110444144 has 120 divisors (see below), whose sum is σ = 44139655040. Its totient is φ = 3548686464.

The previous prime is 13110444121. The next prime is 13110444169. The reversal of 13110444144 is 44144401131.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 323122 + ... + 361425.

Almost surely, 213110444144 is an apocalyptic number.

13110444144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

13110444144 is an abundant number, since it is smaller than the sum of its proper divisors (31029210896).

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

13110444144 is a wasteful number, since it uses less digits than its factorization.

13110444144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 684587 (or 684578 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 13110444144 its reverse (44144401131), we get a palindrome (57254845275).

The spelling of 13110444144 in words is "thirteen billion, one hundred ten million, four hundred forty-four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 19 21 24 28 36 38 42 48 56 57 63 72 76 84 112 114 126 133 144 152 168 171 228 252 266 304 336 342 399 456 504 532 684 798 912 1008 1064 1197 1368 1596 2128 2394 2736 3192 4788 6384 9576 19152 684547 1369094 2053641 2738188 4107282 4791829 5476376 6160923 8214564 9583658 10952752 12321846 13006393 14375487 16429128 19167316 24643692 26012786 28750974 32858256 38334632 39019179 43126461 49287384 52025572 57501948 76669264 78038358 86252922 91044751 98574768 104051144 115003896 117057537 156076716 172505844 182089502 208102288 230007792 234115074 273134253 312153432 345011688 364179004 468230148 546268506 624306864 690023376 728358008 819402759 936460296 1092537012 1456716016 1638805518 1872920592 2185074024 3277611036 4370148048 6555222072 13110444144