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230053134240 = 25325159759121
BaseRepresentation
bin1101011001000000111…
…1000011111110100000
3210222210210120002100100
43112100033003332200
512232122100243430
6253403541022400
722422634243116
oct3262017037640
9728723502310
10230053134240
1189623aa6826
12387043b4a00
13189036c9147
14b1c55dbab6
155eb6a96960
hex35903c3fa0

230053134240 has 72 divisors (see below), whose sum is σ = 785056325508. Its totient is φ = 61347502080.

The previous prime is 230053134221. The next prime is 230053134251. The reversal of 230053134240 is 42431350032.

230053134240 is a `hidden beast` number, since 2 + 300 + 5 + 313 + 4 + 2 + 40 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 227151372816 + 2901761424 = 476604^2 + 53868^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 79878121 + ... + 79881000.

Almost surely, 2230053134240 is an apocalyptic number.

230053134240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

230053134240 is an abundant number, since it is smaller than the sum of its proper divisors (555003191268).

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

230053134240 is a wasteful number, since it uses less digits than its factorization.

230053134240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159759142 (or 159759131 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

Adding to 230053134240 its reverse (42431350032), we get a palindrome (272484484272).

The spelling of 230053134240 in words is "two hundred thirty billion, fifty-three million, one hundred thirty-four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 159759121 319518242 479277363 639036484 798795605 958554726 1278072968 1437832089 1597591210 1917109452 2396386815 2556145936 2875664178 3195182420 3834218904 4792773630 5112291872 5751328356 6390364840 7189160445 7668437808 9585547260 11502656712 12780729680 14378320890 15336875616 19171094520 23005313424 25561459360 28756641780 38342189040 46010626848 57513283560 76684378080 115026567120 230053134240