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3138044112 = 243374722079
BaseRepresentation
bin1011101100001010…
…1100000011010000
322002200210011021000
42323002230003100
522411314402422
61235215102000
7140522635440
oct27302540320
98080704230
103138044112
111370386a95
12736b11900
133b0188548
1421aa9c120
15135760cac
hexbb0ac0d0

3138044112 has 160 divisors (see below), whose sum is σ = 10513612800. Its totient is φ = 877468032.

The previous prime is 3138044081. The next prime is 3138044131. The reversal of 3138044112 is 2114408313.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 31 ways as a sum of consecutive naturals, for example, 131089 + ... + 153167.

It is an arithmetic number, because the mean of its divisors is an integer number (65710080).

Almost surely, 23138044112 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 3138044112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5256806400).

3138044112 is an abundant number, since it is smaller than the sum of its proper divisors (7375568688).

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

3138044112 is a wasteful number, since it uses less digits than its factorization.

3138044112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22150 (or 22138 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 3138044112 is about 56018.2480268707. The cubic root of 3138044112 is about 1464.0402434517.

The spelling of 3138044112 in words is "three billion, one hundred thirty-eight million, forty-four thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 47 48 54 56 63 72 84 94 108 112 126 141 144 168 188 189 216 252 282 329 336 376 378 423 432 504 564 658 752 756 846 987 1008 1128 1269 1316 1512 1692 1974 2256 2538 2632 2961 3024 3384 3948 5076 5264 5922 6768 7896 8883 10152 11844 15792 17766 20304 22079 23688 35532 44158 47376 66237 71064 88316 132474 142128 154553 176632 198711 264948 309106 353264 397422 463659 529896 596133 618212 794844 927318 1037713 1059792 1192266 1236424 1390977 1589688 1854636 2075426 2384532 2472848 2781954 3113139 3179376 3709272 4150852 4172931 4769064 5563908 6226278 7263991 7418544 8301704 8345862 9339417 9538128 11127816 12452556 14527982 16603408 16691724 18678834 21791973 22255632 24905112 28018251 29055964 33383448 37357668 43583946 49810224 56036502 58111928 65375919 66766896 74715336 87167892 112073004 116223856 130751838 149430672 174335784 196127757 224146008 261503676 348671568 392255514 448292016 523007352 784511028 1046014704 1569022056 3138044112