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4314350196 = 22331322713537
BaseRepresentation
bin1000000010010011…
…11100001001110100
3102010200012200212000
410001021330021310
532313433201241
61552035255300
7211625241312
oct40111741164
912120180760
104314350196
11191437a182
12a04a4a530
13539aa5150
142ccdc10b2
151a3b6aeb6
hex10127c274

4314350196 has 96 divisors (see below), whose sum is σ = 12099722880. Its totient is φ = 1321546752.

The previous prime is 4314350171. The next prime is 4314350207. The reversal of 4314350196 is 6910534134.

4314350196 is a `hidden beast` number, since 4 + 3 + 143 + 501 + 9 + 6 = 666.

It is a super-2 number, since 2×43143501962 = 37227235227450476832, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 4314350196.

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, 311940 + ... + 325476.

It is an arithmetic number, because the mean of its divisors is an integer number (126038780).

Almost surely, 24314350196 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 4314350196, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6049861440).

4314350196 is an abundant number, since it is smaller than the sum of its proper divisors (7785372684).

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

4314350196 is a wasteful number, since it uses less digits than its factorization.

4314350196 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13790 (or 13782 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 4314350196 is about 65683.7133237761. The cubic root of 4314350196 is about 1627.9402635709.

It can be divided in two parts, 43143 and 50196, that added together give a palindrome (93339).

The spelling of 4314350196 in words is "four billion, three hundred fourteen million, three hundred fifty thousand, one hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 108 117 156 227 234 351 454 468 681 702 908 1362 1404 2043 2724 2951 4086 5902 6129 8172 8853 11804 12258 13537 17706 24516 26559 27074 35412 40611 53118 54148 79677 81222 106236 121833 159354 162444 175981 243666 318708 351962 365499 487332 527943 703924 730998 1055886 1461996 1583829 2111772 3072899 3167658 4751487 6145798 6335316 9218697 9502974 12291596 18437394 19005948 27656091 36874788 39947687 55312182 79895374 82968273 110624364 119843061 159790748 165936546 239686122 331873092 359529183 479372244 719058366 1078587549 1438116732 2157175098 4314350196