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114130120032 = 2532396285139
BaseRepresentation
bin110101001001010101…
…1110110110101100000
3101220120220221210221200
41222102223312311200
53332214302320112
6124233004321200
711150152004505
oct1522253666540
9356526853850
10114130120032
1144447528455
121a151b43200
13a9bb079906
1457499294ac
152e7e9c1cdc
hex1a92af6d60

114130120032 has 36 divisors (see below), whose sum is σ = 324557529660. Its totient is φ = 38043373248.

The previous prime is 114130120019. The next prime is 114130120057. The reversal of 114130120032 is 230021031411.

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a junction number, because it is equal to n+sod(n) for n = 114130119987 and 114130120014.

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 5 ways as a sum of consecutive naturals, for example, 198142282 + ... + 198142857.

It is an arithmetic number, because the mean of its divisors is an integer number (9015486935).

Almost surely, 2114130120032 is an apocalyptic number.

114130120032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

114130120032 is an abundant number, since it is smaller than the sum of its proper divisors (210427409628).

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

114130120032 is a wasteful number, since it uses less digits than its factorization.

114130120032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 396285155 (or 396285144 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 114130120032 its reverse (230021031411), we get a palindrome (344151151443).

The spelling of 114130120032 in words is "one hundred fourteen billion, one hundred thirty million, one hundred twenty thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 396285139 792570278 1188855417 1585140556 2377710834 3170281112 3566566251 4755421668 6340562224 7133132502 9510843336 12681124448 14266265004 19021686672 28532530008 38043373344 57065060016 114130120032