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1400117400 = 2338521197
BaseRepresentation
bin101001101110100…
…0001100010011000
310121120120100000000
41103131001202120
510331412224100
6350533213000
746460541633
oct12335014230
93546510000
101400117400
11659369a20
12330a91160
131940c0046
14d3d42c1a
1582db9900
hex53741898

1400117400 has 432 divisors, whose sum is σ = 5381452440. Its totient is φ = 335923200.

The previous prime is 1400117359. The next prime is 1400117413. The reversal of 1400117400 is 47110041.

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 (13) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 14434152 + ... + 14434248.

Almost surely, 21400117400 is an apocalyptic number.

1400117400 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 1400117400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2690726220).

1400117400 is an abundant number, since it is smaller than the sum of its proper divisors (3981335040).

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

1400117400 is an equidigital number, since it uses as much as digits as its factorization.

1400117400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

The square root of 1400117400 is about 37418.1426583416. The cubic root of 1400117400 is about 1118.7202112268.

Adding to 1400117400 its reverse (47110041), we get a palindrome (1447227441).

The spelling of 1400117400 in words is "one billion, four hundred million, one hundred seventeen thousand, four hundred".