Search a number
-
+
1413343100 = 2252132347269
BaseRepresentation
bin101010000111101…
…1110011101111100
310122111110021020202
41110033132131330
510343303434400
6352124503032
750011134551
oct12417363574
93574407222
101413343100
11665882654
123353aaa78
13196a70bc0
14d59c6a28
158412d4d5
hex543de77c

1413343100 has 72 divisors (see below), whose sum is σ = 3446550240. Its totient is φ = 499150080.

The previous prime is 1413343081. The next prime is 1413343109. The reversal of 1413343100 is 13433141.

It is a super-4 number, since 4×14133431004 (a number of 38 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1413343109) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 6266 + ... + 53534.

Almost surely, 21413343100 is an apocalyptic number.

1413343100 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 1413343100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1723275120).

1413343100 is an abundant number, since it is smaller than the sum of its proper divisors (2033207140).

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

1413343100 is a wasteful number, since it uses less digits than its factorization.

1413343100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47319 (or 47312 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

The square root of 1413343100 is about 37594.4557082557. The cubic root of 1413343100 is about 1122.2317055624.

Adding to 1413343100 its reverse (13433141), we get a palindrome (1426776241).

The spelling of 1413343100 in words is "one billion, four hundred thirteen million, three hundred forty-three thousand, one hundred".

Divisors: 1 2 4 5 10 13 20 23 25 26 46 50 52 65 92 100 115 130 230 260 299 325 460 575 598 650 1150 1196 1300 1495 2300 2990 5980 7475 14950 29900 47269 94538 189076 236345 472690 614497 945380 1087187 1181725 1228994 2174374 2363450 2457988 3072485 4348748 4726900 5435935 6144970 10871870 12289940 14133431 15362425 21743740 27179675 28266862 30724850 54359350 56533724 61449700 70667155 108718700 141334310 282668620 353335775 706671550 1413343100