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140314000000 = 275670157
BaseRepresentation
bin1000001010101101011…
…1011011101010000000
3111102011201112201202211
42002223113123222000
54244330341000000
6144243115551504
713065053215126
oct2025327335200
9442151481684
10140314000000
115456365aa79
122323aa5b594
1310301952205
146b11207916
1539b35987ba
hex20ab5dba80

140314000000 has 112 divisors (see below), whose sum is σ = 349415253990. Its totient is φ = 56124800000.

The previous prime is 140313999977. The next prime is 140314000007. The reversal of 140314000000 is 413041.

It can be written as a sum of positive squares in 7 ways, for example, as 100560020544 + 39753979456 = 317112^2 + 199384^2 .

It is not an unprimeable number, because it can be changed into a prime (140314000007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 1964922 + ... + 2035078.

Almost surely, 2140314000000 is an apocalyptic number.

140314000000 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 140314000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174707626995).

140314000000 is an abundant number, since it is smaller than the sum of its proper divisors (209101253990).

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

140314000000 is an frugal number, since it uses more digits than its factorization.

140314000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70201 (or 70164 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

Adding to 140314000000 its reverse (413041), we get a palindrome (140314413041).

The spelling of 140314000000 in words is "one hundred forty billion, three hundred fourteen million", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 320 400 500 625 640 800 1000 1250 1600 2000 2500 3125 3200 4000 5000 6250 8000 10000 12500 15625 16000 20000 25000 31250 40000 50000 62500 70157 80000 100000 125000 140314 200000 250000 280628 350785 400000 500000 561256 701570 1000000 1122512 1403140 1753925 2000000 2245024 2806280 3507850 4490048 5612560 7015700 8769625 8980096 11225120 14031400 17539250 22450240 28062800 35078500 43848125 44900480 56125600 70157000 87696250 112251200 140314000 175392500 219240625 224502400 280628000 350785000 438481250 561256000 701570000 876962500 1096203125 1122512000 1403140000 1753925000 2192406250 2806280000 3507850000 4384812500 5612560000 7015700000 8769625000 14031400000 17539250000 28062800000 35078500000 70157000000 140314000000