Search a number
-
+
1411242400 = 25521764053
BaseRepresentation
bin101010000011101…
…1101100110100000
310122100111112122001
41110013131212200
510342234224100
6352011453344
746654235221
oct12407354640
93570445561
101411242400
11664678337
12334757254
131964b6999
14d55db248
1583d65d6a
hex541dd9a0

1411242400 has 36 divisors (see below), whose sum is σ = 3445197462. Its totient is φ = 564496640.

The previous prime is 1411242379. The next prime is 1411242409. The reversal of 1411242400 is 42421141.

It can be written as a sum of positive squares in 3 ways, for example, as 1035037584 + 376204816 = 32172^2 + 19396^2 .

It is a super-2 number, since 2×14112424002 = 3983210223115520000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1411242409) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 881227 + ... + 882826.

Almost surely, 21411242400 is an apocalyptic number.

1411242400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1411242400 is an abundant number, since it is smaller than the sum of its proper divisors (2033955062).

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

1411242400 is a wasteful number, since it uses less digits than its factorization.

1411242400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1764073 (or 1764060 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

The square root of 1411242400 is about 37566.5063587233. The cubic root of 1411242400 is about 1121.6754261267.

Adding to 1411242400 its reverse (42421141), we get a palindrome (1453663541).

It can be divided in two parts, 1411242 and 400, that multiplied together give a triangular number (564496800 = T33600).

The spelling of 1411242400 in words is "one billion, four hundred eleven million, two hundred forty-two thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 400 800 1764053 3528106 7056212 8820265 14112424 17640530 28224848 35281060 44101325 56449696 70562120 88202650 141124240 176405300 282248480 352810600 705621200 1411242400