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14000141100 = 223521110341189
BaseRepresentation
bin11010000100111100…
…10011001100101100
31100010200201212010110
431002132103030230
5212133014003400
610233115340020
71003636143621
oct150236231454
940120655113
1014000141100
115a34795250
122868751610
13142165b17a
1496b512348
1556e15ee50
hex34279332c

14000141100 has 144 divisors (see below), whose sum is σ = 44619644160. Its totient is φ = 3360940800.

The previous prime is 14000141081. The next prime is 14000141131. The reversal of 14000141100 is 114100041.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 319306 + ... + 360494.

It is an arithmetic number, because the mean of its divisors is an integer number (309858640).

Almost surely, 214000141100 is an apocalyptic number.

14000141100 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 14000141100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22309822080).

14000141100 is an abundant number, since it is smaller than the sum of its proper divisors (30619503060).

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

14000141100 is a wasteful number, since it uses less digits than its factorization.

14000141100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41320 (or 41313 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 14000141100 its reverse (114100041), we get a palindrome (14114241141).

The spelling of 14000141100 in words is "fourteen billion, one hundred forty-one thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 103 110 132 150 165 206 220 275 300 309 330 412 515 550 618 660 825 1030 1100 1133 1236 1545 1650 2060 2266 2575 3090 3300 3399 4532 5150 5665 6180 6798 7725 10300 11330 13596 15450 16995 22660 28325 30900 33990 41189 56650 67980 82378 84975 113300 123567 164756 169950 205945 247134 339900 411890 453079 494268 617835 823780 906158 1029725 1235670 1359237 1812316 2059450 2265395 2471340 2718474 3089175 4118900 4242467 4530790 5436948 6178350 6796185 8484934 9061580 11326975 12356700 12727401 13592370 16969868 21212335 22653950 25454802 27184740 33980925 42424670 45307900 46667137 50909604 63637005 67961850 84849340 93334274 106061675 127274010 135923700 140001411 186668548 212123350 233335685 254548020 280002822 318185025 424246700 466671370 560005644 636370050 700007055 933342740 1166678425 1272740100 1400014110 2333356850 2800028220 3500035275 4666713700 7000070550 14000141100