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114142012110 = 23357531139483
BaseRepresentation
bin110101001001101100…
…1001110001011001110
3101220121202022222211000
41222103121032023032
53332230323341420
6124234111241130
711150355044340
oct1522331161316
9356552288730
10114142012110
1144453210115
121a155b191a6
13a9c0681749
14574b343290
152e80a70690
hex1a9364e2ce

114142012110 has 128 divisors (see below), whose sum is σ = 354425103360. Its totient is φ = 25597323648.

The previous prime is 114142012097. The next prime is 114142012133. The reversal of 114142012110 is 11210241411.

114142012110 is a `hidden beast` number, since 114 + 1 + 420 + 121 + 10 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 469572 + ... + 669911.

It is an arithmetic number, because the mean of its divisors is an integer number (2768946120).

Almost surely, 2114142012110 is an apocalyptic number.

114142012110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

114142012110 is an abundant number, since it is smaller than the sum of its proper divisors (240283091250).

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

114142012110 is a wasteful number, since it uses less digits than its factorization.

114142012110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1139559 (or 1139553 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 114142012110 its reverse (11210241411), we get a palindrome (125352253521).

The spelling of 114142012110 in words is "one hundred fourteen billion, one hundred forty-two million, twelve thousand, one hundred ten".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 53 54 63 70 90 105 106 126 135 159 189 210 265 270 315 318 371 378 477 530 630 742 795 945 954 1113 1431 1590 1855 1890 2226 2385 2862 3339 3710 4770 5565 6678 7155 10017 11130 14310 16695 20034 33390 50085 100170 1139483 2278966 3418449 5697415 6836898 7976381 10255347 11394830 15952762 17092245 20510694 23929143 30766041 34184490 39881905 47858286 51276735 60392599 61532082 71787429 79763810 102553470 119645715 120785198 143574858 153830205 181177797 215362287 239291430 301962995 307660410 358937145 362355594 422748193 430724574 543533391 603925990 717874290 845496386 905888985 1076811435 1087066782 1268244579 1630600173 1811777970 2113740965 2153622870 2536489158 2717666955 3261200346 3804733737 4227481930 5435333910 6341222895 7609467474 8153000865 11414201211 12682445790 16306001730 19023668685 22828402422 38047337370 57071006055 114142012110