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1410000440 = 235371138431
BaseRepresentation
bin101010000001010…
…1110011000111000
310122021011102222112
41110002232120320
510341430003230
6351525111452
746640543312
oct12402563070
93567142875
101410000440
116639aa222
12334258588
131961705b4
14d53967b2
1583bbcd95
hex540ae638

1410000440 has 64 divisors (see below), whose sum is σ = 3287468160. Its totient is φ = 543836160.

The previous prime is 1410000433. The next prime is 1410000443. The reversal of 1410000440 is 440000141.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1410000443) 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 15 ways as a sum of consecutive naturals, for example, 163025 + ... + 171455.

It is an arithmetic number, because the mean of its divisors is an integer number (51366690).

Almost surely, 21410000440 is an apocalyptic number.

1410000440 is a gapful number since it is divisible by the number (10) 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 1410000440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1643734080).

1410000440 is an abundant number, since it is smaller than the sum of its proper divisors (1877467720).

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

1410000440 is a wasteful number, since it uses less digits than its factorization.

1410000440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8592 (or 8588 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 1410000440 is about 37549.9725698968. The cubic root of 1410000440 is about 1121.3462870953.

Adding to 1410000440 its reverse (440000141), we get a palindrome (1850000581).

The spelling of 1410000440 in words is "one billion, four hundred ten million, four hundred forty", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 20 37 40 74 113 148 185 226 296 370 452 565 740 904 1130 1480 2260 4181 4520 8362 8431 16724 16862 20905 33448 33724 41810 42155 67448 83620 84310 167240 168620 311947 337240 623894 952703 1247788 1559735 1905406 2495576 3119470 3810812 4763515 6238940 7621624 9527030 12477880 19054060 35250011 38108120 70500022 141000044 176250055 282000088 352500110 705000220 1410000440