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1400424000 = 26353234359
BaseRepresentation
bin101001101111000…
…1100011001000000
310121121010220120120
41103132030121000
510332002032000
6350543540240
746463256543
oct12336143100
93547126516
101400424000
11659559308
12330bba680
13194199771
14d3dc285a
1582e2a6a0
hex5378c640

1400424000 has 448 divisors, whose sum is σ = 5021153280. Its totient is φ = 342988800.

The previous prime is 1400423993. The next prime is 1400424041. The reversal of 1400424000 is 4240041.

It is a super-2 number, since 2×14004240002 = 3922374759552000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

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 63 ways as a sum of consecutive naturals, for example, 23735971 + ... + 23736029.

Almost surely, 21400424000 is an apocalyptic number.

1400424000 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 1400424000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2510576640).

1400424000 is an abundant number, since it is smaller than the sum of its proper divisors (3620729280).

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

1400424000 is a wasteful number, since it uses less digits than its factorization.

1400424000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

The square root of 1400424000 is about 37422.2393771404. The cubic root of 1400424000 is about 1118.8018649946.

Adding to 1400424000 its reverse (4240041), we get a palindrome (1404664041).

The spelling of 1400424000 in words is "one billion, four hundred million, four hundred twenty-four thousand".