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1400214400 = 27521397347
BaseRepresentation
bin101001101110101…
…1001001110000000
310121120202021001121
41103131121032000
510331423330100
6350535242024
746461424504
oct12335311600
93546667047
101400214400
11659425892
12330b19314
13194125240
14d3d6a304
1582dd851a
hex53759380

1400214400 has 192 divisors, whose sum is σ = 3774289680. Its totient is φ = 510197760.

The previous prime is 1400214397. The next prime is 1400214419. The reversal of 1400214400 is 44120041.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4035027 + ... + 4035373.

Almost surely, 21400214400 is an apocalyptic number.

1400214400 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 1400214400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1887144840).

1400214400 is an abundant number, since it is smaller than the sum of its proper divisors (2374075280).

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

1400214400 is a wasteful number, since it uses less digits than its factorization.

1400214400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 481 (or 464 counting only the distinct ones).

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

The square root of 1400214400 is about 37419.4387985710. The cubic root of 1400214400 is about 1118.7460455734.

Adding to 1400214400 its reverse (44120041), we get a palindrome (1444334441).

The spelling of 1400214400 in words is "one billion, four hundred million, two hundred fourteen thousand, four hundred".