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4314212112 = 243761920743
BaseRepresentation
bin1000000010010010…
…11010011100010000
3102010122221200102210
410001021122130100
532313414241422
61552032312120
7211624124610
oct40111323420
912118850383
104314212112
111914295461
12a049a2640
13539a57342
142ccd86a40
151a3b4010c
hex10125a710

4314212112 has 80 divisors (see below), whose sum is σ = 12758389760. Its totient is φ = 1230581376.

The previous prime is 4314212093. The next prime is 4314212141. The reversal of 4314212112 is 2112124134.

It is a super-2 number, since 2×43142121122 = 37224852294655001088, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 197613 + ... + 218355.

It is an arithmetic number, because the mean of its divisors is an integer number (159479872).

Almost surely, 24314212112 is an apocalyptic number.

4314212112 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4314212112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6379194880).

4314212112 is an abundant number, since it is smaller than the sum of its proper divisors (8444177648).

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

4314212112 is a wasteful number, since it uses less digits than its factorization.

4314212112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21380 (or 21374 counting only the distinct ones).

The product of its digits is 384, while the sum is 21.

The square root of 4314212112 is about 65682.6621872165. The cubic root of 4314212112 is about 1627.9228955709.

Adding to 4314212112 its reverse (2112124134), we get a palindrome (6426336246).

The spelling of 4314212112 in words is "four billion, three hundred fourteen million, two hundred twelve thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 619 1238 1857 2476 3714 4333 4952 7428 8666 9904 12999 14856 17332 20743 25998 29712 34664 41486 51996 62229 69328 82972 103992 124458 145201 165944 207984 248916 290402 331888 435603 497832 580804 871206 995664 1161608 1742412 2323216 3484824 6969648 12839917 25679834 38519751 51359668 77039502 89879419 102719336 154079004 179758838 205438672 269638257 308158008 359517676 539276514 616316016 719035352 1078553028 1438070704 2157106056 4314212112