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14434140300 = 22352372335581
BaseRepresentation
bin11010111000101011…
…11000000010001100
31101020221101022002220
431130111320002030
5214030114442200
610344141415340
71020456111456
oct153425700214
941227338086
1014434140300
116137772278
122969b6a550
131490544b28
149ad0072d6
155972dc4a0
hex35c57808c

14434140300 has 144 divisors (see below), whose sum is σ = 43083304992. Its totient is φ = 3728332800.

The previous prime is 14434140293. The next prime is 14434140319. The reversal of 14434140300 is 304143441.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2583510 + ... + 2589090.

It is an arithmetic number, because the mean of its divisors is an integer number (299189618).

Almost surely, 214434140300 is an apocalyptic number.

14434140300 is a gapful number since it is divisible by the number (10) 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 14434140300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21541652496).

14434140300 is an abundant number, since it is smaller than the sum of its proper divisors (28649164692).

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

14434140300 is a wasteful number, since it uses less digits than its factorization.

14434140300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5868 (or 5861 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 14434140300 its reverse (304143441), we get a palindrome (14738283741).

The spelling of 14434140300 in words is "fourteen billion, four hundred thirty-four million, one hundred forty thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 37 50 60 74 75 100 111 148 150 185 222 233 300 370 444 466 555 699 740 925 932 1110 1165 1398 1850 2220 2330 2775 2796 3495 3700 4660 5550 5581 5825 6990 8621 11100 11162 11650 13980 16743 17242 17475 22324 23300 25863 27905 33486 34484 34950 43105 51726 55810 66972 69900 83715 86210 103452 111620 129315 139525 167430 172420 206497 215525 258630 279050 334860 412994 418575 431050 517260 558100 619491 646575 825988 837150 862100 1032485 1238982 1293150 1300373 1674300 2064970 2477964 2586300 2600746 3097455 3901119 4129940 5162425 5201492 6194910 6501865 7802238 10324850 12389820 13003730 15487275 15604476 19505595 20649700 26007460 30974550 32509325 39011190 48113801 61949100 65018650 78022380 96227602 97527975 130037300 144341403 192455204 195055950 240569005 288682806 390111900 481138010 577365612 721707015 962276020 1202845025 1443414030 2405690050 2886828060 3608535075 4811380100 7217070150 14434140300