Search a number
-
+
4424200014320 = 2453712763117109
BaseRepresentation
bin100000001100001011011…
…0111101100100111110000
3120122221122002212011200122
41000120112313230213300
51034441230200424240
613224241024305412
7634431541431542
oct100302667544760
916587562764618
104424200014320
1114563246299a9
125b5533772268
1326127acc3a78
141141bd525692
157a13c2034b5
hex40616dec9f0

4424200014320 has 80 divisors (see below), whose sum is σ = 10565190138720. Its totient is φ = 1721701204992.

The previous prime is 4424200014281. The next prime is 4424200014329. The reversal of 4424200014320 is 234100024244.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×44242000143203 (a number of 39 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 4424200014320.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4424200014329) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37719926 + ... + 37837034.

It is an arithmetic number, because the mean of its divisors is an integer number (132064876734).

Almost surely, 24424200014320 is an apocalyptic number.

4424200014320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4424200014320 is an abundant number, since it is smaller than the sum of its proper divisors (6140990124400).

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

4424200014320 is a wasteful number, since it uses less digits than its factorization.

4424200014320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129922 (or 129916 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 26.

Adding to 4424200014320 its reverse (234100024244), we get a palindrome (4658300038564).

The spelling of 4424200014320 in words is "four trillion, four hundred twenty-four billion, two hundred million, fourteen thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 37 40 74 80 148 185 296 370 592 740 1480 2960 12763 25526 51052 63815 102104 117109 127630 204208 234218 255260 468436 472231 510520 585545 936872 944462 1021040 1171090 1873744 1888924 2342180 2361155 3777848 4333033 4684360 4722310 7555696 8666066 9368720 9444620 17332132 18889240 21665165 34664264 37778480 43330330 69328528 86660660 173321320 346642640 1494662167 2989324334 5978648668 7473310835 11957297336 14946621670 23914594672 29893243340 55302500179 59786486680 110605000358 119572973360 221210000716 276512500895 442420001432 553025001790 884840002864 1106050003580 2212100007160 4424200014320