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234964994103 = 337191134391319
BaseRepresentation
bin1101101011010100000…
…0010100100000110111
3211110111010002102101000
43122311000110200313
512322202014302403
6255535203134343
722655436332220
oct3326500244067
9743433072330
10234964994103
1190714682844
12396553743b3
13192072074b8
14b52dab8247
1561a2ddc7a3
hex36b5014837

234964994103 has 128 divisors (see below), whose sum is σ = 423751680000. Its totient is φ = 125690890752.

The previous prime is 234964994087. The next prime is 234964994111. The reversal of 234964994103 is 301499469432.

234964994103 is a `hidden beast` number, since 2 + 3 + 49 + 6 + 499 + 4 + 103 = 666.

It is not a de Polignac number, because 234964994103 - 24 = 234964994087 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 234964994103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (234964994183) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 178138078 + ... + 178139396.

It is an arithmetic number, because the mean of its divisors is an integer number (3310560000).

Almost surely, 2234964994103 is an apocalyptic number.

234964994103 is a deficient number, since it is larger than the sum of its proper divisors (188786685897).

234964994103 is a wasteful number, since it uses less digits than its factorization.

234964994103 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1906 (or 1900 counting only the distinct ones).

The product of its (nonzero) digits is 5038848, while the sum is 54.

The spelling of 234964994103 in words is "two hundred thirty-four billion, nine hundred sixty-four million, nine hundred ninety-four thousand, one hundred three".

Divisors: 1 3 7 9 19 21 27 57 63 113 133 171 189 339 399 439 513 791 1017 1197 1317 1319 2147 2373 3051 3073 3591 3951 3957 6441 7119 8341 9219 9233 11853 11871 15029 19323 21357 25023 25061 27657 27699 35613 45087 49607 57969 58387 75069 75183 82971 83097 135261 148821 149047 175161 175427 225207 225549 249291 347249 405783 446463 447141 525483 526281 579041 676647 942533 1041747 1043329 1339389 1341423 1576449 1578843 1737123 2827599 2831893 3125241 3129987 4024269 4053287 4736529 5211369 6597731 8482797 8495679 9375723 9389961 11001779 12159861 15634107 19793193 19823251 25448391 25487037 28169883 33005337 36479583 59379579 59469753 65431633 76461111 77012453 99016011 109438749 178138737 178409259 196294899 231037359 297048033 458021431 535227777 588884697 693112077 1243201027 1374064293 1766654091 2079336231 3729603081 4122192879 8702407189 11188809243 12366578637 26107221567 33566427729 78321664701 234964994103