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234413252535 = 357111723519067
BaseRepresentation
bin1101101001010000011…
…1100101111110110111
3211102001122220001020010
43122110013211332313
512320034243040120
6255404333311303
722635656525220
oct3322407457667
9742048801203
10234413252535
1190461196180
1239520635533
1319149b073b7
14b4ba6d4247
15616e7537e0
hex36941e5fb7

234413252535 has 128 divisors (see below), whose sum is σ = 516642914304. Its totient is φ = 87701391360.

The previous prime is 234413252509. The next prime is 234413252537. The reversal of 234413252535 is 535252314432.

It is not a de Polignac number, because 234413252535 - 220 = 234412203959 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 234413252493 and 234413252502.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (234413252537) 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 127 ways as a sum of consecutive naturals, for example, 192072 + ... + 711138.

It is an arithmetic number, because the mean of its divisors is an integer number (4036272768).

Almost surely, 2234413252535 is an apocalyptic number.

234413252535 is an abundant number, since it is smaller than the sum of its proper divisors (282229661769).

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

234413252535 is a wasteful number, since it uses less digits than its factorization.

234413252535 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 519133.

The product of its digits is 432000, while the sum is 39.

Adding to 234413252535 its reverse (535252314432), we get a palindrome (769665566967).

The spelling of 234413252535 in words is "two hundred thirty-four billion, four hundred thirteen million, two hundred fifty-two thousand, five hundred thirty-five".

Divisors: 1 3 5 7 11 15 17 21 23 33 35 51 55 69 77 85 105 115 119 161 165 187 231 253 255 345 357 385 391 483 561 595 759 805 935 1155 1173 1265 1309 1771 1785 1955 2415 2737 2805 3795 3927 4301 5313 5865 6545 8211 8855 12903 13685 19635 21505 26565 30107 41055 64515 90321 150535 451605 519067 1557201 2595335 3633469 5709737 7786005 8824139 10900407 11938541 17129211 18167345 26472417 28548685 35815623 39968159 44120695 54502035 59692705 61768973 83569787 85646055 97065529 119904477 131323951 132362085 179078115 185306919 199840795 202955197 250709361 291196587 308844865 393971853 417848935 485327645 599522385 608865591 656619755 679458703 919267657 926534595 1014775985 1253546805 1420686379 1455982935 1969859265 2038376109 2232507167 2757802971 3044327955 3397293515 4262059137 4596338285 6697521501 7103431895 10191880545 11162535835 13789014855 15627550169 21310295685 33487607505 46882650507 78137750845 234413252535