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140126456565 = 3259732102281
BaseRepresentation
bin1000001010000000110…
…0000000101011110101
3111101200122122112112200
42002200030000223311
54243434333102230
6144212340135113
713060315141224
oct2024014005365
9441618575480
10140126456565
11544778058a7
12231a8097499
13102a1b39974
146ad4348cbb
1539a1da0160
hex20a0300af5

140126456565 has 24 divisors (see below), whose sum is σ = 245389843608. Its totient is φ = 73963653120.

The previous prime is 140126456537. The next prime is 140126456567. The reversal of 140126456565 is 565654621041.

140126456565 is a `hidden beast` number, since 1 + 4 + 0 + 1 + 26 + 4 + 565 + 65 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 43801885521 + 96324571044 = 209289^2 + 310362^2 .

It is not a de Polignac number, because 140126456565 - 216 = 140126391029 is a prime.

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 140126456565.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (140126456567) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16046776 + ... + 16055505.

It is an arithmetic number, because the mean of its divisors is an integer number (10224576817).

Almost surely, 2140126456565 is an apocalyptic number.

140126456565 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

140126456565 is a deficient number, since it is larger than the sum of its proper divisors (105263387043).

140126456565 is a wasteful number, since it uses less digits than its factorization.

140126456565 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32102389 (or 32102386 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 45.

The spelling of 140126456565 in words is "one hundred forty billion, one hundred twenty-six million, four hundred fifty-six thousand, five hundred sixty-five".

Divisors: 1 3 5 9 15 45 97 291 485 873 1455 4365 32102281 96306843 160511405 288920529 481534215 1444602645 3113921257 9341763771 15569606285 28025291313 46708818855 140126456565