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1241400400 = 24523103501
BaseRepresentation
bin100100111111110…
…0100010001010000
310012111220200012121
41021333210101100
510020244303100
6323103304024
742522505102
oct11177442120
93174820177
101241400400
11587813549
122a78ab014
1316a25b566
14bac29572
1573eb751a
hex49fe4450

1241400400 has 30 divisors (see below), whose sum is σ = 2982465422. Its totient is φ = 496560000.

The previous prime is 1241400353. The next prime is 1241400403. The reversal of 1241400400 is 40041421.

It can be written as a sum of positive squares in 3 ways, for example, as 11916304 + 1229484096 = 3452^2 + 35064^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1241400403) 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, 1551351 + ... + 1552150.

Almost surely, 21241400400 is an apocalyptic number.

1241400400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1241400400 is an abundant number, since it is smaller than the sum of its proper divisors (1741065022).

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

1241400400 is a wasteful number, since it uses less digits than its factorization.

1241400400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3103519 (or 3103508 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 1241400400 is about 35233.5124561830. The cubic root of 1241400400 is about 1074.7413547570.

Adding to 1241400400 its reverse (40041421), we get a palindrome (1281441821).

The spelling of 1241400400 in words is "one billion, two hundred forty-one million, four hundred thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 3103501 6207002 12414004 15517505 24828008 31035010 49656016 62070020 77587525 124140040 155175050 248280080 310350100 620700200 1241400400