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114211331233398 = 23272339410397251
BaseRepresentation
bin11001111101111111100101…
…110100111101011001110110
3112222101111102001020110120200
4121331333211310331121312
5104432214301243432043
61042523543343341330
733025332154415610
oct3175774564753166
9488344361213520
10114211331233398
1133433831aa8363
1210986b078b1846
134b9610bb28999
14202bc02215db0
15d30d7380e7d3
hex67dfe5d3d676

114211331233398 has 48 divisors (see below), whose sum is σ = 295105054622976. Its totient is φ = 31213034622000.

The previous prime is 114211331233393. The next prime is 114211331233399. The reversal of 114211331233398 is 893332133112411.

It is a happy number.

114211331233398 is a `hidden beast` number, since 1 + 1 + 4 + 2 + 1 + 133 + 123 + 3 + 398 = 666.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114211331233393) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19705195728 + ... + 19705201523.

It is an arithmetic number, because the mean of its divisors is an integer number (6148021971312).

Almost surely, 2114211331233398 is an apocalyptic number.

114211331233398 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

114211331233398 is an abundant number, since it is smaller than the sum of its proper divisors (180893723389578).

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

114211331233398 is a wasteful number, since it uses less digits than its factorization.

114211331233398 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39410397289 (or 39410397286 counting only the distinct ones).

The product of its digits is 279936, while the sum is 45.

The spelling of 114211331233398 in words is "one hundred fourteen trillion, two hundred eleven billion, three hundred thirty-one million, two hundred thirty-three thousand, three hundred ninety-eight".

Divisors: 1 2 3 6 7 9 14 18 21 23 42 46 63 69 126 138 161 207 322 414 483 966 1449 2898 39410397251 78820794502 118231191753 236462383506 275872780757 354693575259 551745561514 709387150518 827618342271 906439136773 1655236684542 1812878273546 2482855026813 2719317410319 4965710053626 5438634820638 6345073957411 8157952230957 12690147914822 16315904461914 19035221872233 38070443744466 57105665616699 114211331233398