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4134022112 = 25113312101
BaseRepresentation
bin1111011001101000…
…0010101111100000
3101200002220002020002
43312122002233200
531431302201422
61522114235132
7204305415413
oct36632025740
911602802202
104134022112
111831603000
12974585aa8
1350b617b3c
142b307db7a
15192dea692
hexf6682be0

4134022112 has 144 divisors (see below), whose sum is σ = 9341810352. Its totient is φ = 1800480000.

The previous prime is 4134022027. The next prime is 4134022121. The reversal of 4134022112 is 2112204314.

4134022112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 40930862 + ... + 40930962.

It is an arithmetic number, because the mean of its divisors is an integer number (64873683).

Almost surely, 24134022112 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 4134022112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4670905176).

4134022112 is an abundant number, since it is smaller than the sum of its proper divisors (5207788240).

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

4134022112 is a wasteful number, since it uses less digits than its factorization.

4134022112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 4134022112 is about 64296.3615766864. The cubic root of 4134022112 is about 1604.9355553619.

Adding to 4134022112 its reverse (2112204314), we get a palindrome (6246226426).

It can be divided in two parts, 413402 and 2112, that added together give a palindrome (415514).

The spelling of 4134022112 in words is "four billion, one hundred thirty-four million, twenty-two thousand, one hundred twelve".

Divisors: 1 2 4 8 11 16 22 31 32 44 62 88 101 121 124 176 202 242 248 341 352 404 484 496 682 808 961 968 992 1111 1331 1364 1616 1922 1936 2222 2662 2728 3131 3232 3751 3844 3872 4444 5324 5456 6262 7502 7688 8888 10571 10648 10912 12221 12524 15004 15376 17776 21142 21296 24442 25048 30008 30752 34441 35552 41261 42284 42592 48884 50096 60016 68882 82522 84568 97061 97768 100192 116281 120032 134431 137764 165044 169136 194122 195536 232562 268862 275528 330088 338272 378851 388244 391072 465124 537724 551056 660176 757702 776488 930248 1067671 1075448 1102112 1279091 1320352 1515404 1552976 1860496 2135342 2150896 2558182 3030808 3105952 3720992 4167361 4270684 4301792 5116364 6061616 8334722 8541368 10232728 11744381 12123232 16669444 17082736 20465456 23488762 33338888 34165472 40930912 46977524 66677776 93955048 129188191 133355552 187910096 258376382 375820192 516752764 1033505528 2067011056 4134022112