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114214404200 = 23521367655651
BaseRepresentation
bin110101001011110110…
…1011000000001101000
3101220210210112220002112
41222113231120001220
53332402341413300
6124245215021452
711152224263111
oct1522755300150
9356723486075
10114214404200
1144490065396
121a17620a888
13aa02679cc0
145756bc9208
152e870bee35
hex1a97b58068

114214404200 has 96 divisors (see below), whose sum is σ = 290244027360. Its totient is φ = 41541984000.

The previous prime is 114214404173. The next prime is 114214404221. The reversal of 114214404200 is 2404412411.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 153626 + ... + 502025.

It is an arithmetic number, because the mean of its divisors is an integer number (3023375285).

Almost surely, 2114214404200 is an apocalyptic number.

114214404200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114214404200 is an abundant number, since it is smaller than the sum of its proper divisors (176029623160).

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

114214404200 is a wasteful number, since it uses less digits than its factorization.

114214404200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 655747 (or 655738 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 23.

Adding to 114214404200 its reverse (2404412411), we get a palindrome (116618816611).

The spelling of 114214404200 in words is "one hundred fourteen billion, two hundred fourteen million, four hundred four thousand, two hundred".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 67 100 104 130 134 200 260 268 325 335 520 536 650 670 871 1300 1340 1675 1742 2600 2680 3350 3484 4355 6700 6968 8710 13400 17420 21775 34840 43550 87100 174200 655651 1311302 2622604 3278255 5245208 6556510 8523463 13113020 16391275 17046926 26226040 32782550 34093852 42617315 43928617 65565100 68187704 85234630 87857234 131130200 170469260 175714468 213086575 219643085 340938520 351428936 426173150 439286170 571072021 852346300 878572340 1098215425 1142144042 1704692600 1757144680 2196430850 2284288084 2855360105 4392861700 4568576168 5710720210 8785723400 11421440420 14276800525 22842880840 28553601050 57107202100 114214404200