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140416705665 = 3255376732
BaseRepresentation
bin1000001011000101111…
…1001110010010000001
3111102102212210201110100
42002301133032102001
54300033134040130
6144301225153013
713100441206425
oct2026137162201
9442385721410
10140416705665
115460662a295
122326932b769
131031a0023b2
146b20b00b85
1539bc5d4c60
hex20b17ce481

140416705665 has 36 divisors (see below), whose sum is σ = 248013523836. Its totient is φ = 73466335488.

The previous prime is 140416705631. The next prime is 140416705673. The reversal of 140416705665 is 566507614041.

140416705665 is a `hidden beast` number, since 1 + 4 + 0 + 4 + 16 + 70 + 566 + 5 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 4408428816 + 136008276849 = 66396^2 + 368793^2 .

It is not a de Polignac number, because 140416705665 - 26 = 140416705601 is a prime.

It is a super-2 number, since 2×1404167056652 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 140416705665.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 18296269 + ... + 18303941.

It is an arithmetic number, because the mean of its divisors is an integer number (6889264551).

Almost surely, 2140416705665 is an apocalyptic number.

140416705665 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

140416705665 is a deficient number, since it is larger than the sum of its proper divisors (107596818171).

140416705665 is an frugal number, since it uses more digits than its factorization.

140416705665 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15410 (or 7734 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 140416705665 in words is "one hundred forty billion, four hundred sixteen million, seven hundred five thousand, six hundred sixty-five".

Divisors: 1 3 5 9 15 45 53 159 265 477 795 2385 7673 23019 38365 69057 115095 345285 406669 1220007 2033345 3660021 6100035 18300105 58874929 176624787 294374645 529874361 883123935 2649371805 3120371237 9361113711 15601856185 28083341133 46805568555 140416705665