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454114440 = 2332513195107
BaseRepresentation
bin11011000100010…
…011110010001000
31011122111101220100
4123010103302020
51412223130230
6113021125400
714152623543
oct3304236210
91148441810
10454114440
1121337699a
121080b9860
137310a690
144444d85a
1529d02660
hex1b113c88

454114440 has 192 divisors, whose sum is σ = 1673380800. Its totient is φ = 105878016.

The previous prime is 454114417. The next prime is 454114481. The reversal of 454114440 is 44411454.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 86367 + ... + 91473.

It is an arithmetic number, because the mean of its divisors is an integer number (8715525).

Almost surely, 2454114440 is an apocalyptic number.

454114440 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 454114440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (836690400).

454114440 is an abundant number, since it is smaller than the sum of its proper divisors (1219266360).

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

454114440 is a wasteful number, since it uses less digits than its factorization.

454114440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5156 (or 5149 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

The square root of 454114440 is about 21309.9610511141. The cubic root of 454114440 is about 768.6378571297.

Adding to 454114440 its reverse (44411454), we get a palindrome (498525894).

It can be divided in two parts, 4541 and 14440, that added together give a palindrome (18981).

The spelling of 454114440 in words is "four hundred fifty-four million, one hundred fourteen thousand, four hundred forty".