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6457140440 = 2357112971753
BaseRepresentation
bin1100000001110000…
…00010010011011000
3121200000020201110122
412000320002103120
5101211011443230
62544422532412
7316004534222
oct60070022330
917600221418
106457140440
112813984203
121302597108
137bb9c587a
14453809412
1527bd36be5
hex180e024d8

6457140440 has 64 divisors (see below), whose sum is σ = 14752964160. Its totient is φ = 2543063040.

The previous prime is 6457140419. The next prime is 6457140457. The reversal of 6457140440 is 440417546.

It is a self number, because there is not a number n which added to its sum of digits gives 6457140440.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3682604 + ... + 3684356.

It is an arithmetic number, because the mean of its divisors is an integer number (230515065).

Almost surely, 26457140440 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 6457140440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7376482080).

6457140440 is an abundant number, since it is smaller than the sum of its proper divisors (8295823720).

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

6457140440 is a wasteful number, since it uses less digits than its factorization.

6457140440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3132 (or 3128 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 35.

The square root of 6457140440 is about 80356.3341622800. The cubic root of 6457140440 is about 1862.1446376354.

Adding to 6457140440 its reverse (440417546), we get a palindrome (6897557986).

The spelling of 6457140440 in words is "six billion, four hundred fifty-seven million, one hundred forty thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 71 142 284 355 568 710 1297 1420 1753 2594 2840 3506 5188 6485 7012 8765 10376 12970 14024 17530 25940 35060 51880 70120 92087 124463 184174 248926 368348 460435 497852 622315 736696 920870 995704 1244630 1841740 2273641 2489260 3683480 4547282 4978520 9094564 11368205 18189128 22736410 45472820 90945640 161428511 322857022 645714044 807142555 1291428088 1614285110 3228570220 6457140440