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140450143200 = 25352194383863
BaseRepresentation
bin1000001011001101111…
…0110001101111100000
3111102112012201112010120
42002303132301233200
54300120214040300
6144304422000240
713101325343103
oct2026336615740
9442465645116
10140450143200
1154623498414
1223278576080
1310323c0bc13
146b2532673a
1539c04dc3a0
hex20b37b1be0

140450143200 has 576 divisors, whose sum is σ = 498928066560. Its totient is φ = 34199746560.

The previous prime is 140450143151. The next prime is 140450143307. The reversal of 140450143200 is 2341054041.

140450143200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 162745969 + ... + 162746831.

It is an arithmetic number, because the mean of its divisors is an integer number (866194560).

Almost surely, 2140450143200 is an apocalyptic number.

140450143200 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 140450143200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249464033280).

140450143200 is an abundant number, since it is smaller than the sum of its proper divisors (358477923360).

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

140450143200 is a wasteful number, since it uses less digits than its factorization.

140450143200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1031 (or 1018 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

Adding to 140450143200 its reverse (2341054041), we get a palindrome (142791197241).

The spelling of 140450143200 in words is "one hundred forty billion, four hundred fifty million, one hundred forty-three thousand, two hundred".