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14404313100 = 22352591037901
BaseRepresentation
bin11010110101001000…
…00110000000001100
31101011212020220212210
431122210012000030
5214000001004400
610341154230420
71016644432632
oct153244060014
941155226783
1014404313100
11612194a6a1
12295bb85410
1314873006b8
149a9081352
15594899950
hex35a90600c

14404313100 has 144 divisors (see below), whose sum is σ = 42799760640. Its totient is φ = 3738912000.

The previous prime is 14404313089. The next prime is 14404313101. The reversal of 14404313100 is 131340441.

It is a super-2 number, since 2×144043131002 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (14404313101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1819150 + ... + 1827050.

It is an arithmetic number, because the mean of its divisors is an integer number (297220560).

Almost surely, 214404313100 is an apocalyptic number.

14404313100 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 14404313100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21399880320).

14404313100 is an abundant number, since it is smaller than the sum of its proper divisors (28395447540).

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

14404313100 is a wasteful number, since it uses less digits than its factorization.

14404313100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8080 (or 8073 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 14404313100 its reverse (131340441), we get a palindrome (14535653541).

The spelling of 14404313100 in words is "fourteen billion, four hundred four million, three hundred thirteen thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 59 60 75 100 103 118 150 177 206 236 295 300 309 354 412 515 590 618 708 885 1030 1180 1236 1475 1545 1770 2060 2575 2950 3090 3540 4425 5150 5900 6077 6180 7725 7901 8850 10300 12154 15450 15802 17700 18231 23703 24308 30385 30900 31604 36462 39505 47406 60770 72924 79010 91155 94812 118515 121540 151925 158020 182310 197525 237030 303850 364620 395050 455775 466159 474060 592575 607700 790100 813803 911550 932318 1185150 1398477 1627606 1823100 1864636 2330795 2370300 2441409 2796954 3255212 4069015 4661590 4882818 5593908 6992385 8138030 9323180 9765636 11653975 12207045 13984770 16276060 20345075 23307950 24414090 27969540 34961925 40690150 46615900 48014377 48828180 61035225 69923850 81380300 96028754 122070450 139847700 144043131 192057508 240071885 244140900 288086262 480143770 576172524 720215655 960287540 1200359425 1440431310 2400718850 2880862620 3601078275 4801437700 7202156550 14404313100