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4400534142 = 2364764217
BaseRepresentation
bin1000001100100101…
…01101001001111110
3102100200101022000000
410012102231021332
533003014043032
62004354415130
7214022631414
oct40622551176
912320338000
104400534142
111958a94484
12a298914a6
135518bc174
142da6172b4
151ab4e1e7c
hex1064ad27e

4400534142 has 56 divisors (see below), whose sum is σ = 10107399456. Its totient is φ = 1435612896.

The previous prime is 4400534093. The next prime is 4400534143. The reversal of 4400534142 is 2414350044.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4400534143) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 36418 + ... + 100634.

It is an arithmetic number, because the mean of its divisors is an integer number (180489276).

Almost surely, 24400534142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4400534142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5053699728).

4400534142 is an abundant number, since it is smaller than the sum of its proper divisors (5706865314).

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

4400534142 is an equidigital number, since it uses as much as digits as its factorization.

4400534142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64284 (or 64269 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 4400534142 is about 66336.5219317383. The cubic root of 4400534142 is about 1638.7088466853.

Adding to 4400534142 its reverse (2414350044), we get a palindrome (6814884186).

The spelling of 4400534142 in words is "four billion, four hundred million, five hundred thirty-four thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 18 27 47 54 81 94 141 162 243 282 423 486 729 846 1269 1458 2538 3807 7614 11421 22842 34263 64217 68526 128434 192651 385302 577953 1155906 1733859 3018199 3467718 5201577 6036398 9054597 10403154 15604731 18109194 27163791 31209462 46814193 54327582 81491373 93628386 162982746 244474119 488948238 733422357 1466844714 2200267071 4400534142