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234032014120 = 23543315678623
BaseRepresentation
bin1101100111110101100…
…1010010001100101000
3211101002002112010102211
43121331121102030220
512313244143422440
6255302434134504
722623350204032
oct3317531221450
9741062463384
10234032014120
1190285a75103
1239434a21434
13190b8b34638
14b481c14c52
15614b048eea
hex367d652328

234032014120 has 64 divisors (see below), whose sum is σ = 528186193920. Its totient is φ = 93326183424.

The previous prime is 234032014109. The next prime is 234032014129. The reversal of 234032014120 is 21410230432.

234032014120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 234032014091 and 234032014100.

It is not an unprimeable number, because it can be changed into a prime (234032014129) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 27136129 + ... + 27144751.

It is an arithmetic number, because the mean of its divisors is an integer number (8252909280).

Almost surely, 2234032014120 is an apocalyptic number.

234032014120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

234032014120 is an abundant number, since it is smaller than the sum of its proper divisors (294154179800).

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

234032014120 is a wasteful number, since it uses less digits than its factorization.

234032014120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10634 (or 10630 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 234032014120 its reverse (21410230432), we get a palindrome (255442244552).

The spelling of 234032014120 in words is "two hundred thirty-four billion, thirty-two million, fourteen thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 433 866 1567 1732 2165 3134 3464 4330 6268 7835 8623 8660 12536 15670 17246 17320 31340 34492 43115 62680 68984 86230 172460 344920 678511 1357022 2714044 3392555 3733759 5428088 6785110 7467518 13512241 13570220 14935036 18668795 27024482 27140440 29870072 37337590 54048964 67561205 74675180 108097928 135122410 149350360 270244820 540489640 5850800353 11701600706 23403201412 29254001765 46806402824 58508003530 117016007060 234032014120