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114233210160 = 24351493194441
BaseRepresentation
bin110101001100011010…
…1000111010100110000
3101220212002221100000120
41222120311013110300
53332422200211120
6124251130050240
711152543160016
oct1523065072460
9356762840016
10114233210160
114449a73a603
121a180579980
13aa06532aa4
1457594c28b6
152e88a87140
hex1a98d47530

114233210160 has 80 divisors (see below), whose sum is σ = 356499727200. Its totient is φ = 30257735680.

The previous prime is 114233210159. The next prime is 114233210207. The reversal of 114233210160 is 61012332411.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 114233210160.

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 15 ways as a sum of consecutive naturals, for example, 1561461 + ... + 1632980.

It is an arithmetic number, because the mean of its divisors is an integer number (4456246590).

Almost surely, 2114233210160 is an apocalyptic number.

114233210160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114233210160 is an abundant number, since it is smaller than the sum of its proper divisors (242266517040).

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

114233210160 is a wasteful number, since it uses less digits than its factorization.

114233210160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3194606 (or 3194600 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 114233210160 its reverse (61012332411), we get a palindrome (175245542571).

The spelling of 114233210160 in words is "one hundred fourteen billion, two hundred thirty-three million, two hundred ten thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 149 240 298 447 596 745 894 1192 1490 1788 2235 2384 2980 3576 4470 5960 7152 8940 11920 17880 35760 3194441 6388882 9583323 12777764 15972205 19166646 25555528 31944410 38333292 47916615 51111056 63888820 76666584 95833230 127777640 153333168 191666460 255555280 383332920 475971709 766665840 951943418 1427915127 1903886836 2379858545 2855830254 3807773672 4759717090 5711660508 7139575635 7615547344 9519434180 11423321016 14279151270 19038868360 22846642032 28558302540 38077736720 57116605080 114233210160