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140627140416 = 263575324373
BaseRepresentation
bin1000001011111000000…
…1111101111101000000
3111102222112202220200000
42002332001331331000
54301001021443131
6144334143400000
713105604654010
oct2027601757500
9442875686600
10140627140416
115470439a004
12233078b3000
13103517a10b9
146b40a3bc40
1539d0d00ce6
hex20be07df40

140627140416 has 336 divisors, whose sum is σ = 486760869504. Its totient is φ = 39419467776.

The previous prime is 140627140397. The next prime is 140627140421. The reversal of 140627140416 is 614041726041.

It is a happy number.

140627140416 is a `hidden beast` number, since 1 + 4 + 0 + 627 + 14 + 0 + 4 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5757606 + ... + 5781978.

It is an arithmetic number, because the mean of its divisors is an integer number (1448693064).

Almost surely, 2140627140416 is an apocalyptic number.

140627140416 is a gapful number since it is divisible by the number (16) 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 140627140416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243380434752).

140627140416 is an abundant number, since it is smaller than the sum of its proper divisors (346133729088).

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

140627140416 is an equidigital number, since it uses as much as digits as its factorization.

140627140416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24460 (or 24438 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

Adding to 140627140416 its reverse (614041726041), we get a palindrome (754668866457).

The spelling of 140627140416 in words is "one hundred forty billion, six hundred twenty-seven million, one hundred forty thousand, four hundred sixteen".