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1400504400 = 243252389029
BaseRepresentation
bin101001101111010…
…0000000001010000
310121121021222212100
41103132200001100
510332012120100
6350545400400
746464043131
oct12336400120
93547258770
101400504400
11659603759
12331039100
131941c7239
14d4003c88
1582e44400
hex537a0050

1400504400 has 90 divisors (see below), whose sum is σ = 4860151790. Its totient is φ = 373466880.

The previous prime is 1400504393. The next prime is 1400504407. The reversal of 1400504400 is 44050041.

It is an interprime number because it is at equal distance from previous prime (1400504393) and next prime (1400504407).

It can be written as a sum of positive squares in 3 ways, for example, as 440496144 + 960008256 = 20988^2 + 30984^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is a super-2 number, since 2×14005044002 = 3922825148838720000, 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 not an unprimeable number, because it can be changed into a prime (1400504407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 190915 + ... + 198114.

Almost surely, 21400504400 is an apocalyptic number.

1400504400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1400504400 is an abundant number, since it is smaller than the sum of its proper divisors (3459647390).

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

1400504400 is a wasteful number, since it uses less digits than its factorization.

1400504400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 389053 (or 389039 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 1400504400 is about 37423.3135892588. The cubic root of 1400504400 is about 1118.8232751648.

Adding to 1400504400 its reverse (44050041), we get a palindrome (1444554441).

The spelling of 1400504400 in words is "one billion, four hundred million, five hundred four thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 36 40 45 48 50 60 72 75 80 90 100 120 144 150 180 200 225 240 300 360 400 450 600 720 900 1200 1800 3600 389029 778058 1167087 1556116 1945145 2334174 3112232 3501261 3890290 4668348 5835435 6224464 7002522 7780580 9336696 9725725 11670870 14005044 15561160 17506305 18673392 19451450 23341740 28010088 29177175 31122320 35012610 38902900 46683480 56020176 58354350 70025220 77805800 87531525 93366960 116708700 140050440 155611600 175063050 233417400 280100880 350126100 466834800 700252200 1400504400