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114402300112441 = 11232937421419389
BaseRepresentation
bin11010000000110001011100…
…011101011010111000111001
3120000001202022222212200010201
4122000301130131122320321
5104443331402312044231
61043151405141242201
733045202434204115
oct3200613435327071
9500052288780121
10114402300112441
11334a7819a51730
12109b7b22a03361
134bab1240bc5b3
14203715ab00745
15d35cedeab161
hex680c5c75ae39

114402300112441 has 32 divisors (see below), whose sum is σ = 138360414124800. Its totient is φ = 93453963482880.

The previous prime is 114402300112439. The next prime is 114402300112459. The reversal of 114402300112441 is 144211003204411.

It is a happy number.

It is not a de Polignac number, because 114402300112441 - 21 = 114402300112439 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (114402300112421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 210438226 + ... + 210981163.

It is an arithmetic number, because the mean of its divisors is an integer number (4323762941400).

Almost surely, 2114402300112441 is an apocalyptic number.

114402300112441 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

114402300112441 is a deficient number, since it is larger than the sum of its proper divisors (23958114012359).

114402300112441 is a wasteful number, since it uses less digits than its factorization.

114402300112441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 421419489.

The product of its (nonzero) digits is 3072, while the sum is 28.

Adding to 114402300112441 its reverse (144211003204411), we get a palindrome (258613303316852).

The spelling of 114402300112441 in words is "one hundred fourteen trillion, four hundred two billion, three hundred million, one hundred twelve thousand, four hundred forty-one".

Divisors: 1 11 23 29 37 253 319 407 667 851 1073 7337 9361 11803 24679 271469 421419389 4635613279 9692645947 12221162281 15592517393 106619105417 134432785091 171517691323 281086732463 358627900039 452183004397 3091954057093 3944906900429 4974013048367 10400209101131 114402300112441