[go: up one dir, main page]

Search a number
-
+
1241414100 = 22365217029
BaseRepresentation
bin100100111111110…
…0111100111010100
310012111221101000000
41021333213213110
510020300222400
6323103451300
742522563043
oct11177474724
93174841000
101241414100
11587822873
122a78b6b30
1316a264874
14bac3055a
1573ebb600
hex49fe79d4

1241414100 has 126 divisors (see below), whose sum is σ = 4039192430. Its totient is φ = 331024320.

The previous prime is 1241414099. The next prime is 1241414131. The reversal of 1241414100 is 14141421.

1241414100 is a `hidden beast` number, since 1 + 241 + 414 + 10 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 198640836 + 1042773264 = 14094^2 + 32292^2 .

It is a super-2 number, since 2×12414141002 = 3082217935357620000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 64386 + ... + 81414.

Almost surely, 21241414100 is an apocalyptic number.

1241414100 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 1241414100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2019596215).

1241414100 is an abundant number, since it is smaller than the sum of its proper divisors (2797778330).

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

1241414100 is a wasteful number, since it uses less digits than its factorization.

1241414100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17061 (or 17039 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 1241414100 is about 35233.7068728228. The cubic root of 1241414100 is about 1074.7453083303.

Adding to 1241414100 its reverse (14141421), we get a palindrome (1255555521).

The spelling of 1241414100 in words is "one billion, two hundred forty-one million, four hundred fourteen thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 45 50 54 60 75 81 90 100 108 135 150 162 180 225 243 270 300 324 405 450 486 540 675 729 810 900 972 1215 1350 1458 1620 2025 2430 2700 2916 3645 4050 4860 6075 7290 8100 12150 14580 17029 18225 24300 34058 36450 51087 68116 72900 85145 102174 153261 170290 204348 255435 306522 340580 425725 459783 510870 613044 766305 851450 919566 1021740 1277175 1379349 1532610 1702900 1839132 2298915 2554350 2758698 3065220 3831525 4138047 4597830 5108700 5517396 6896745 7663050 8276094 9195660 11494575 12414141 13793490 15326100 16552188 20690235 22989150 24828282 27586980 34483725 41380470 45978300 49656564 62070705 68967450 82760940 103451175 124141410 137934900 206902350 248282820 310353525 413804700 620707050 1241414100