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1400137800 = 23352107113193
BaseRepresentation
bin101001101110100…
…0110100001001000
310121120121100222120
41103131012201020
510331413402200
6350533451240
746460655255
oct12335064110
93546540876
101400137800
11659383286
12330aa0b20
131940c9409
14d3d4a42c
1582dc09a0
hex53746848

1400137800 has 192 divisors, whose sum is σ = 4442662080. Its totient is φ = 364707840.

The previous prime is 1400137787. The next prime is 1400137801. The reversal of 1400137800 is 87310041.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (1400137801) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 7254504 + ... + 7254696.

It is an arithmetic number, because the mean of its divisors is an integer number (23138865).

Almost surely, 21400137800 is an apocalyptic number.

1400137800 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 1400137800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2221331040).

1400137800 is an abundant number, since it is smaller than the sum of its proper divisors (3042524280).

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

1400137800 is a wasteful number, since it uses less digits than its factorization.

1400137800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 432 (or 423 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 24.

The square root of 1400137800 is about 37418.4152523861. The cubic root of 1400137800 is about 1118.7256445287.

Adding to 1400137800 its reverse (87310041), we get a palindrome (1487447841).

The spelling of 1400137800 in words is "one billion, four hundred million, one hundred thirty-seven thousand, eight hundred".