Search a number
-
+
4314420244110 = 2351941937694793
BaseRepresentation
bin111110110010000111011…
…111000110111010001110
3120021110021100212000210110
4332302013133012322032
51031141413040302420
613102003423020450
7623464232662464
oct76620737067216
916243240760713
104314420244110
11141380a829789
125981b673a726
13253b04315062
1410cb676ac834
157736460dee0
hex3ec877c6e8e

4314420244110 has 128 divisors (see below), whose sum is σ = 10930780224000. Its totient is φ = 1086842161152.

The previous prime is 4314420244093. The next prime is 4314420244117. The reversal of 4314420244110 is 114420244134.

It is a happy number.

It is a super-2 number, since 2×43144202441102 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4314420244117) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 900147874 + ... + 900152666.

It is an arithmetic number, because the mean of its divisors is an integer number (85396720500).

Almost surely, 24314420244110 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4314420244110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5465390112000).

4314420244110 is an abundant number, since it is smaller than the sum of its proper divisors (6616359979890).

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

4314420244110 is a wasteful number, since it uses less digits than its factorization.

4314420244110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9010.

The product of its (nonzero) digits is 12288, while the sum is 30.

Adding to 4314420244110 its reverse (114420244134), we get a palindrome (4428840488244).

The spelling of 4314420244110 in words is "four trillion, three hundred fourteen billion, four hundred twenty million, two hundred forty-four thousand, one hundred ten".

Divisors: 1 2 3 5 6 10 15 19 30 38 57 95 114 190 285 419 570 838 1257 2095 2514 3769 4190 4793 6285 7538 7961 9586 11307 12570 14379 15922 18845 22614 23883 23965 28758 37690 39805 47766 47930 56535 71611 71895 79610 91067 113070 119415 143222 143790 182134 214833 238830 273201 358055 429666 455335 546402 716110 910670 1074165 1366005 1579211 2008267 2148330 2732010 3158422 4016534 4737633 6024801 7896055 9475266 10041335 12049602 15792110 18064817 20082670 23688165 30005009 30124005 36129634 38157073 47376330 54194451 60010018 60248010 76314146 90015027 90324085 108388902 114471219 150025045 180030054 180648170 190785365 228942438 270972255 300050090 343231523 381570730 450075135 541944510 572356095 686463046 900150270 1029694569 1144712190 1716157615 2059389138 3432315230 5148472845 7569158323 10296945690 15138316646 22707474969 37845791615 45414949938 75691583230 113537374845 143814008137 227074749690 287628016274 431442024411 719070040685 862884048822 1438140081370 2157210122055 4314420244110