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140537255040 = 27345713313
BaseRepresentation
bin1000001011100010101…
…1000101010010000000
3111102202021122021010000
42002320223011102000
54300310014130130
6144321213040000
713103433646350
oct2027053052200
9442667567100
10140537255040
1154668686876
12232a1786000
1310338c8c3a0
146b32b20b60
1539c7e98260
hex20b8ac5480

140537255040 has 1280 divisors, whose sum is σ = 638292695040. Its totient is φ = 28695306240.

The previous prime is 140537255039. The next prime is 140537255041. The reversal of 140537255040 is 40552735041.

140537255040 is a `hidden beast` number, since 14 + 0 + 53 + 7 + 2 + 550 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (140537255039) and next prime (140537255041).

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 = 140537254986 and 140537255004.

It is not an unprimeable number, because it can be changed into a prime (140537255041) 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 159 ways as a sum of consecutive naturals, for example, 4533459825 + ... + 4533459855.

It is an arithmetic number, because the mean of its divisors is an integer number (498666168).

Almost surely, 2140537255040 is an apocalyptic number.

140537255040 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 140537255040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319146347520).

140537255040 is an abundant number, since it is smaller than the sum of its proper divisors (497755440000).

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

140537255040 is an frugal number, since it uses more digits than its factorization.

140537255040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 84000, while the sum is 36.

The spelling of 140537255040 in words is "one hundred forty billion, five hundred thirty-seven million, two hundred fifty-five thousand, forty".