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4314352196 = 22721143173269
BaseRepresentation
bin1000000010010011…
…11100101001000100
3102010200012210121002
410001021330221010
532313433232241
61552035312432
7211625250200
oct40111745104
912120183532
104314352196
111914380730
12a04a4b718
13539aa602b
142ccdc1b00
151a3b6b89b
hex10127ca44

4314352196 has 144 divisors (see below), whose sum is σ = 9897370560. Its totient is φ = 1626266880.

The previous prime is 4314352111. The next prime is 4314352199. The reversal of 4314352196 is 6912534134.

It is a super-2 number, since 2×43143521962 = 37227269742260044832, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4314352199) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16038350 + ... + 16038618.

It is an arithmetic number, because the mean of its divisors is an integer number (68731740).

Almost surely, 24314352196 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 4314352196, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4948685280).

4314352196 is an abundant number, since it is smaller than the sum of its proper divisors (5583018364).

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

4314352196 is a wasteful number, since it uses less digits than its factorization.

4314352196 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 514 (or 505 counting only the distinct ones).

The product of its digits is 77760, while the sum is 38.

The square root of 4314352196 is about 65683.7285482485. The cubic root of 4314352196 is about 1627.9405151252.

The spelling of 4314352196 in words is "four billion, three hundred fourteen million, three hundred fifty-two thousand, one hundred ninety-six".

Divisors: 1 2 4 7 11 14 22 28 43 44 49 77 86 98 154 172 173 196 269 301 308 346 473 538 539 602 692 946 1076 1078 1204 1211 1883 1892 1903 2107 2156 2422 2959 3311 3766 3806 4214 4844 5918 6622 7439 7532 7612 8428 8477 11567 11836 13181 13244 13321 14878 16954 20713 23134 23177 26362 26642 29756 33908 41426 46268 46354 46537 52073 52724 53284 80969 81829 82852 92708 93074 93247 104146 127237 144991 161938 163658 186148 186494 208292 254474 289982 323876 325759 327316 364511 372988 508948 511907 566783 572803 579964 651518 729022 890659 1023814 1133566 1145606 1303036 1458044 1781318 2001091 2047628 2267132 2280313 2291212 3562636 3583349 4002182 4009621 4560626 6234613 7166698 8004364 8019242 9121252 12469226 14007637 14333396 16038484 22012001 24938452 25083443 28015274 44024002 50166886 56030548 88048004 98053459 100333772 154084007 196106918 308168014 392213836 616336028 1078588049 2157176098 4314352196