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140116803840 = 283251353127139
BaseRepresentation
bin1000001001111110011…
…1001100000100000000
3111101122222111010111100
42002133213030010000
54243424400210330
6144211353214400
713060140116166
oct2023747140400
9441588433440
10140116803840
1154472312642
12231a4a01400
131029cb3a1b0
146ad2d55236
1539a10e5060
hex209f9cc100

140116803840 has 864 divisors, whose sum is σ = 539977052160. Its totient is φ = 33331544064.

The previous prime is 140116803797. The next prime is 140116803847. The reversal of 140116803840 is 48308611041.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 140116803795 and 140116803804.

It is not an unprimeable number, because it can be changed into a prime (140116803847) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1008034491 + ... + 1008034629.

It is an arithmetic number, because the mean of its divisors is an integer number (624973440).

Almost surely, 2140116803840 is an apocalyptic number.

140116803840 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 140116803840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269988526080).

140116803840 is an abundant number, since it is smaller than the sum of its proper divisors (399860248320).

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

140116803840 is a wasteful number, since it uses less digits than its factorization.

140116803840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 359 (or 342 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The spelling of 140116803840 in words is "one hundred forty billion, one hundred sixteen million, eight hundred three thousand, eight hundred forty".