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40164305247 = 3311317292267
BaseRepresentation
bin100101011001111110…
…101010100101011111
310211200010020002221000
4211121332222211133
51124224030231442
630241244241343
72621210650563
oct453176524537
9124603202830
1040164305247
1116040781000
12794ab40253
133a3111c7c1
141d3033b6a3
1510a113ed4c
hex959faa95f

40164305247 has 128 divisors (see below), whose sum is σ = 71719603200. Its totient is φ = 22110359040.

The previous prime is 40164305227. The next prime is 40164305249. The reversal of 40164305247 is 74250346104.

40164305247 is a `hidden beast` number, since 4 + 0 + 1 + 643 + 0 + 5 + 2 + 4 + 7 = 666.

It is not a de Polignac number, because 40164305247 - 26 = 40164305183 is a prime.

It is a super-2 number, since 2×401643052472 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40164305249) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 17715808 + ... + 17718074.

It is an arithmetic number, because the mean of its divisors is an integer number (560309400).

Almost surely, 240164305247 is an apocalyptic number.

40164305247 is a deficient number, since it is larger than the sum of its proper divisors (31555297953).

40164305247 is a wasteful number, since it uses less digits than its factorization.

40164305247 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2355 (or 2327 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The spelling of 40164305247 in words is "forty billion, one hundred sixty-four million, three hundred five thousand, two hundred forty-seven".

Divisors: 1 3 9 11 17 27 29 33 51 87 99 121 153 187 261 297 319 363 459 493 561 783 957 1089 1331 1479 1683 2057 2267 2871 3267 3509 3993 4437 5049 5423 6171 6801 8613 10527 11979 13311 16269 18513 20403 22627 24937 31581 35937 38539 38599 48807 55539 59653 61209 65743 67881 74811 94743 115617 115797 146421 178959 197229 203643 224433 274307 346851 347391 423929 536877 591687 610929 656183 673299 723173 822921 1040553 1042173 1117631 1271787 1610631 1775061 1968549 2169519 2468763 3017377 3352893 3815361 4663219 5905647 6508557 7406289 7954903 9052131 10058679 11446083 12293941 13989657 17716941 19525671 23864709 27156393 30176037 36881823 41968971 51295409 71594127 81469179 87503933 110645469 125906913 135233351 153886227 214782381 262511799 331936407 405700053 461658681 787535397 1217100159 1384976043 1487566861 2362606191 3651300477 4462700583 13388101749 40164305247