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40166271844688 = 241110920219103553
BaseRepresentation
bin10010010000111111100000…
…10111011000000101010000
312021012212011112201212210102
421020133300113120011100
520231041011043012223
6221232044110551532
711313626442311303
oct1110376027300520
9167185145655712
1040166271844688
1111886469361a50
1246085ab2085a8
131954881020792
149cc0b4d62b3a
15499c3c0dd928
hex2487f05d8150

40166271844688 has 80 divisors (see below), whose sum is σ = 85680828129600. Its totient is φ = 18088827863040.

The previous prime is 40166271844661. The next prime is 40166271844691. The reversal of 40166271844688 is 88644817266104.

It is a super-2 number, since 2×401662718446882 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 387829520 + ... + 387933072.

It is an arithmetic number, because the mean of its divisors is an integer number (1071010351620).

Almost surely, 240166271844688 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40166271844688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42840414064800).

40166271844688 is an abundant number, since it is smaller than the sum of its proper divisors (45514556284912).

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

40166271844688 is a wasteful number, since it uses less digits than its factorization.

40166271844688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123900 (or 123894 counting only the distinct ones).

The product of its (nonzero) digits is 99090432, while the sum is 65.

The spelling of 40166271844688 in words is "forty trillion, one hundred sixty-six billion, two hundred seventy-one million, eight hundred forty-four thousand, six hundred eighty-eight".

Divisors: 1 2 4 8 11 16 22 44 88 109 176 218 436 872 1199 1744 2398 4796 9592 19184 20219 40438 80876 103553 161752 207106 222409 323504 414212 444818 828424 889636 1139083 1656848 1779272 2203871 2278166 3558544 4407742 4556332 8815484 9112664 11287277 17630968 18225328 22574554 24242581 35261936 45149108 48485162 90298216 96970324 124160047 180596432 193940648 248320094 387881296 496640188 993280376 1986560752 2093738107 4187476214 8374952428 16749904856 23031119177 33499809712 46062238354 92124476708 184248953416 228217453663 368497906832 456434907326 912869814652 1825739629304 2510391990293 3651479258608 5020783980586 10041567961172 20083135922344 40166271844688