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140770289499840 = 263557111331227257
BaseRepresentation
bin100000000000011110100011…
…000110011011111011000000
3200110102111201111211111100000
4200000132203012123323000
5121422340023102443330
61215220551144200000
741436214001020110
oct4000364306337300
9613374644744300
10140770289499840
1140943387604480
1213956285169000
136071773287660
1426a9465847040
151141b592dc560
hex8007a319bec0

140770289499840 has 5376 divisors, whose sum is σ = 701714022137856. Its totient is φ = 25913563545600.

The previous prime is 140770289499839. The next prime is 140770289499877. The reversal of 140770289499840 is 48994982077041.

140770289499840 is a `hidden beast` number, since 1 + 4 + 0 + 7 + 70 + 28 + 9 + 499 + 8 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

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 767 ways as a sum of consecutive naturals, for example, 547744316992 + ... + 547744317248.

It is an arithmetic number, because the mean of its divisors is an integer number (130527161856).

Almost surely, 2140770289499840 is an apocalyptic number.

140770289499840 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 140770289499840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350857011068928).

140770289499840 is an abundant number, since it is smaller than the sum of its proper divisors (560943732638016).

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

140770289499840 is a wasteful number, since it uses less digits than its factorization.

140770289499840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 578 (or 556 counting only the distinct ones).

The product of its (nonzero) digits is 292626432, while the sum is 72.

The spelling of 140770289499840 in words is "one hundred forty trillion, seven hundred seventy billion, two hundred eighty-nine million, four hundred ninety-nine thousand, eight hundred forty".