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14440411413100 = 225253251407659
BaseRepresentation
bin1101001000100010101110…
…0101111011101001101100
31220010111020002200210221001
43102020223211323221230
53343042430310204400
650413500004050044
73020166566530351
oct322105345735154
956114202623831
1014440411413100
114668164866852
121752794693924
13809956950c3a
1437ccc36d4628
151a0965498a6a
hexd222b97ba6c

14440411413100 has 54 divisors (see below), whose sum is σ = 31938088335860. Its totient is φ = 5667180217920.

The previous prime is 14440411413079. The next prime is 14440411413107. The reversal of 14440411413100 is 131411404441.

It is a happy number.

It is a super-2 number, since 2×144404114131002 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (14440411413107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 25422930 + ... + 25984729.

Almost surely, 214440411413100 is an apocalyptic number.

14440411413100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14440411413100 is an abundant number, since it is smaller than the sum of its proper divisors (17497676922760).

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

14440411413100 is a wasteful number, since it uses less digits than its factorization.

14440411413100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51407779 (or 51407719 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

Adding to 14440411413100 its reverse (131411404441), we get a palindrome (14571822817541).

The spelling of 14440411413100 in words is "fourteen trillion, four hundred forty billion, four hundred eleven million, four hundred thirteen thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 53 100 106 212 265 530 1060 1325 2650 2809 5300 5618 11236 14045 28090 56180 70225 140450 280900 51407659 102815318 205630636 257038295 514076590 1028153180 1285191475 2570382950 2724605927 5140765900 5449211854 10898423708 13623029635 27246059270 54492118540 68115148175 136230296350 144404114131 272460592700 288808228262 577616456524 722020570655 1444041141310 2888082282620 3610102853275 7220205706550 14440411413100