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140014344000 = 2635319417489
BaseRepresentation
bin1000001001100110000…
…0010101011101000000
3111101101211200122000110
42002121200111131000
54243222133002000
6144153253151320
713054454200356
oct2023140253500
9441354618013
10140014344000
115441a4a0a93
122317662b540
1310284844b7b
146ac34c37d6
153997106850
hex2099815740

140014344000 has 448 divisors, whose sum is σ = 498596716800. Its totient is φ = 34504704000.

The previous prime is 140014343999. The next prime is 140014344013. The reversal of 140014344000 is 443410041.

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, 18692256 + ... + 18699744.

It is an arithmetic number, because the mean of its divisors is an integer number (1112939100).

Almost surely, 2140014344000 is an apocalyptic number.

140014344000 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 140014344000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249298358400).

140014344000 is an abundant number, since it is smaller than the sum of its proper divisors (358582372800).

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

140014344000 is a wasteful number, since it uses less digits than its factorization.

140014344000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7579 (or 7559 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 140014344000 its reverse (443410041), we get a palindrome (140457754041).

The spelling of 140014344000 in words is "one hundred forty billion, fourteen million, three hundred forty-four thousand".