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4440230424200 = 2352107214396821
BaseRepresentation
bin100000010011101001001…
…0110110110111010001000
3120201111000021220101000002
41000213102112312322020
51040222042442033300
613235451431502132
7635540022605444
oct100472226667210
916644007811002
104440230424200
11146210035512a
125b8668227948
132629341666bc
14114ca0531824
157a7797045d5
hex409d25b6e88

4440230424200 has 96 divisors (see below), whose sum is σ = 10424987400960. Its totient is φ = 1758653971200.

The previous prime is 4440230424181. The next prime is 4440230424233. The reversal of 4440230424200 is 24240320444.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 45811790 + ... + 45908610.

It is an arithmetic number, because the mean of its divisors is an integer number (108593618760).

Almost surely, 24440230424200 is an apocalyptic number.

4440230424200 is a gapful number since it is divisible by the number (40) 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 4440230424200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5212493700480).

4440230424200 is an abundant number, since it is smaller than the sum of its proper divisors (5984756976760).

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

4440230424200 is a wasteful number, since it uses less digits than its factorization.

4440230424200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99087 (or 99078 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 29.

Adding to 4440230424200 its reverse (24240320444), we get a palindrome (4464470744644).

The spelling of 4440230424200 in words is "four trillion, four hundred forty billion, two hundred thirty million, four hundred twenty-four thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 107 200 214 428 535 856 1070 2140 2143 2675 4280 4286 5350 8572 10700 10715 17144 21400 21430 42860 53575 85720 96821 107150 193642 214300 229301 387284 428600 458602 484105 774568 917204 968210 1146505 1834408 1936420 2293010 2420525 3872840 4586020 4841050 5732525 9172040 9682100 10359847 11465050 19364200 20719694 22930100 41439388 45860200 51799235 82878776 103598470 207196940 207487403 258996175 414393880 414974806 517992350 829949612 1035984700 1037437015 1659899224 2071969400 2074874030 4149748060 5187185075 8299496120 10374370150 20748740300 22201152121 41497480600 44402304242 88804608484 111005760605 177609216968 222011521210 444023042420 555028803025 888046084840 1110057606050 2220115212100 4440230424200