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454140440 = 235131018647
BaseRepresentation
bin11011000100011…
…010001000011000
31011122112201120022
4123010122020120
51412224443230
6113021450012
714153062415
oct3304321030
91148481508
10454140440
11213394486
12108110908
1373119470
144445910c
1529d0a1e5
hex1b11a218

454140440 has 64 divisors (see below), whose sum is σ = 1111440960. Its totient is φ = 166003200.

The previous prime is 454140439. The next prime is 454140457. The reversal of 454140440 is 44041454.

It is a Harshad number since it is a multiple of its sum of digits (26).

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, 48197 + ... + 56843.

It is an arithmetic number, because the mean of its divisors is an integer number (17366265).

Almost surely, 2454140440 is an apocalyptic number.

454140440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 454140440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (555720480).

454140440 is an abundant number, since it is smaller than the sum of its proper divisors (657300520).

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

454140440 is a wasteful number, since it uses less digits than its factorization.

454140440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8772 (or 8768 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 26.

The square root of 454140440 is about 21310.5710857311. The cubic root of 454140440 is about 768.6525261215.

Adding to 454140440 its reverse (44041454), we get a palindrome (498181894).

The spelling of 454140440 in words is "four hundred fifty-four million, one hundred forty thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 101 104 130 202 260 404 505 520 808 1010 1313 2020 2626 4040 5252 6565 8647 10504 13130 17294 26260 34588 43235 52520 69176 86470 112411 172940 224822 345880 449644 562055 873347 899288 1124110 1746694 2248220 3493388 4366735 4496440 6986776 8733470 11353511 17466940 22707022 34933880 45414044 56767555 90828088 113535110 227070220 454140440