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3111669144 = 2332293148073
BaseRepresentation
bin1011100101111000…
…0100110110011000
322000212011011121100
42321132010312120
522333041403034
61232433511400
7140052515463
oct27136046630
98025134540
103111669144
1113575020a1
1272a112560
133a788255c
142173942da
151332a1099
hexb9784d98

3111669144 has 96 divisors (see below), whose sum is σ = 8999452800. Its totient is φ = 969131520.

The previous prime is 3111669139. The next prime is 3111669161. The reversal of 3111669144 is 4419661113.

3111669144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 3111669099 and 3111669108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40692 + ... + 88764.

It is an arithmetic number, because the mean of its divisors is an integer number (93744300).

Almost surely, 23111669144 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 3111669144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4499726400).

3111669144 is an abundant number, since it is smaller than the sum of its proper divisors (5887783656).

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

3111669144 is a wasteful number, since it uses less digits than its factorization.

3111669144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48145 (or 48138 counting only the distinct ones).

The product of its digits is 15552, while the sum is 36.

The square root of 3111669144 is about 55782.3372045310. The cubic root of 3111669144 is about 1459.9269907821.

The spelling of 3111669144 in words is "three billion, one hundred eleven million, six hundred sixty-nine thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 29 31 36 58 62 72 87 93 116 124 174 186 232 248 261 279 348 372 522 558 696 744 899 1044 1116 1798 2088 2232 2697 3596 5394 7192 8091 10788 16182 21576 32364 48073 64728 96146 144219 192292 288438 384584 432657 576876 865314 1153752 1394117 1490263 1730628 2788234 2980526 3461256 4182351 4470789 5576468 5961052 8364702 8941578 11152936 11922104 12547053 13412367 16729404 17883156 25094106 26824734 33458808 35766312 43217627 50188212 53649468 86435254 100376424 107298936 129652881 172870508 259305762 345741016 388958643 518611524 777917286 1037223048 1555834572 3111669144