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16440640114125 = 353298322780239
BaseRepresentation
bin1110111100111110001010…
…0000111000110111001101
32011012201011110212212201110
43233033202200320313031
54123330412332123000
654544420435002233
73314540250131313
oct357174240706715
964181143785643
1016440640114125
115269488813047
121a16381139379
139234656ab256
1440ba346b80b3
151d79d359e850
hexef3e2838dcd

16440640114125 has 128 divisors (see below), whose sum is σ = 28768081305600. Its totient is φ = 8327035449600.

The previous prime is 16440640114099. The next prime is 16440640114127. The reversal of 16440640114125 is 52141104604461.

It is not a de Polignac number, because 16440640114125 - 29 = 16440640113613 is a prime.

It is a super-3 number, since 3×164406401141253 (a number of 41 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16440640114127) 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, 204855756 + ... + 204935994.

It is an arithmetic number, because the mean of its divisors is an integer number (224750635200).

Almost surely, 216440640114125 is an apocalyptic number.

16440640114125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

16440640114125 is a deficient number, since it is larger than the sum of its proper divisors (12327441191475).

16440640114125 is a wasteful number, since it uses less digits than its factorization.

16440640114125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80596 (or 80586 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 39.

Adding to 16440640114125 its reverse (52141104604461), we get a palindrome (68581744718586).

The spelling of 16440640114125 in words is "sixteen trillion, four hundred forty billion, six hundred forty million, one hundred fourteen thousand, one hundred twenty-five".

Divisors: 1 3 5 15 25 29 75 83 87 125 145 227 249 375 415 435 681 725 1135 1245 2075 2175 2407 3405 3625 5675 6225 6583 7221 10375 10875 12035 17025 18841 19749 28375 31125 32915 36105 56523 60175 80239 85125 94205 98745 164575 180525 240717 282615 300875 401195 471025 493725 546389 822875 902625 1203585 1413075 1639167 2005975 2326931 2355125 2468625 2731945 6017925 6659837 6980793 7065375 8195835 10029875 11634655 13659725 18214253 19979511 30089625 33299185 34903965 40979175 54642759 58173275 68298625 91071265 99897555 166495925 174519825 193135273 204895875 273213795 290866375 455356325 499487775 528213337 579405819 832479625 872599125 965676365 1366068975 1511782999 1584640011 2276781625 2497438875 2641066685 2897029095 4535348997 4828381825 6830344875 7558914995 7923200055 13205333425 14485145475 22676744985 24141909125 37794574975 39616000275 43841706971 66026667125 72425727375 113383724925 131525120913 188972874875 198080001375 219208534855 566918624625 657625604565 1096042674275 3288128022825 5480213371375 16440640114125