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242211503079 = 32713438837789
BaseRepresentation
bin1110000110010011101…
…1100011101111100111
3212011012010200012220100
43201210323203233213
512432022121044304
6303134225035143
723333140543440
oct3414473435747
9764163605810
10242211503079
11937a3096237
123ab38185ab3
1319ac05ccb30
14ba1a2822c7
15647919b439
hex3864ee3be7

242211503079 has 96 divisors (see below), whose sum is σ = 441167767040. Its totient is φ = 124631426304.

The previous prime is 242211503063. The next prime is 242211503081. The reversal of 242211503079 is 970305112242.

It is not a de Polignac number, because 242211503079 - 24 = 242211503063 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242211503059) 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 95 ways as a sum of consecutive naturals, for example, 31092717 + ... + 31100505.

Almost surely, 2242211503079 is an apocalyptic number.

242211503079 is a deficient number, since it is larger than the sum of its proper divisors (198956263961).

242211503079 is a wasteful number, since it uses less digits than its factorization.

242211503079 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8741 (or 8738 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 242211503079 in words is "two hundred forty-two billion, two hundred eleven million, five hundred three thousand, seventy-nine".

Divisors: 1 3 7 9 13 21 39 43 63 91 117 129 273 301 387 559 819 883 903 1677 2649 2709 3913 5031 6181 7789 7947 11479 11739 18543 23367 34437 35217 37969 54523 55629 70101 80353 101257 103311 113907 163569 241059 265783 303771 334927 341721 490707 493597 708799 723177 797349 911313 1004781 1480791 2126397 2344489 2392047 3014343 3455179 4354051 4442373 6379191 6877687 7033467 10365537 13062153 20633061 21100401 30478357 31096611 39186459 48143809 61899183 89409931 91435071 144431427 268229793 274305213 295740541 433294281 625869517 804689379 887221623 1877608551 2070183787 2661664869 3844627033 5632825653 6210551361 11533881099 18631654083 26912389231 34601643297 80737167693 242211503079