Search a number
-
+
234024533901 = 321741277134681
BaseRepresentation
bin1101100111110011110…
…0101111111110001101
3211101001120110002111200
43121330330233332031
512313240240041101
6255302005540113
722623226500564
oct3317474577615
9741046402450
10234024533901
1190281826104
1239432414639
13190b7415982
14b480c28bdb
15614a56c986
hex367cf2ff8d

234024533901 has 48 divisors (see below), whose sum is σ = 367976005488. Its totient is φ = 142739251200.

The previous prime is 234024533807. The next prime is 234024534011. The reversal of 234024533901 is 109335420432.

234024533901 is a `hidden beast` number, since 2 + 34 + 0 + 2 + 4 + 533 + 90 + 1 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 97985276676 + 136039257225 = 313026^2 + 368835^2 .

It is not a de Polignac number, because 234024533901 - 29 = 234024533389 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (234024533101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1670281 + ... + 1804961.

It is an arithmetic number, because the mean of its divisors is an integer number (7666166781).

Almost surely, 2234024533901 is an apocalyptic number.

It is an amenable number.

234024533901 is a deficient number, since it is larger than the sum of its proper divisors (133951471587).

234024533901 is a wasteful number, since it uses less digits than its factorization.

234024533901 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135022 (or 135019 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The spelling of 234024533901 in words is "two hundred thirty-four billion, twenty-four million, five hundred thirty-three thousand, nine hundred one".

Divisors: 1 3 9 17 41 51 123 153 277 369 697 831 2091 2493 4709 6273 11357 14127 34071 42381 102213 134681 193069 404043 579207 1212129 1737621 2289577 5521921 6868731 16565763 20606193 37306637 49697289 93872657 111919911 281617971 335759733 634212829 844853913 1529572117 1902638487 4588716351 5707915461 13766149053 26002725989 78008177967 234024533901