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1410113440 = 255231133391
BaseRepresentation
bin101010000001100…
…1001111110100000
310122021101011222201
41110003021332200
510341442112230
6351531342544
746641523621
oct12403117640
93567334881
101410113440
11663a7710a
123342b1a54
131961acb68
14d53c5a48
1583be15ca
hex540c9fa0

1410113440 has 96 divisors (see below), whose sum is σ = 3508033536. Its totient is φ = 534589440.

The previous prime is 1410113407. The next prime is 1410113447. The reversal of 1410113440 is 443110141.

It is a super-3 number, since 3×14101134403 (a number of 28 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (1410113447) 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, 414145 + ... + 417535.

It is an arithmetic number, because the mean of its divisors is an integer number (36542016).

Almost surely, 21410113440 is an apocalyptic number.

1410113440 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 1410113440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1754016768).

1410113440 is an abundant number, since it is smaller than the sum of its proper divisors (2097920096).

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

1410113440 is a wasteful number, since it uses less digits than its factorization.

1410113440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3542 (or 3534 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

The square root of 1410113440 is about 37551.4772013033. The cubic root of 1410113440 is about 1121.3762418721.

Adding to 1410113440 its reverse (443110141), we get a palindrome (1853223581).

The spelling of 1410113440 in words is "one billion, four hundred ten million, one hundred thirteen thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 23 32 40 46 80 92 113 115 160 184 226 230 368 452 460 565 736 904 920 1130 1808 1840 2260 2599 3391 3616 3680 4520 5198 6782 9040 10396 12995 13564 16955 18080 20792 25990 27128 33910 41584 51980 54256 67820 77993 83168 103960 108512 135640 155986 207920 271280 311972 383183 389965 415840 542560 623944 766366 779930 1247888 1532732 1559860 1915915 2495776 3065464 3119720 3831830 6130928 6239440 7663660 8813209 12261856 12478880 15327320 17626418 30654640 35252836 44066045 61309280 70505672 88132090 141011344 176264180 282022688 352528360 705056720 1410113440