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140332150000 = 24557400949
BaseRepresentation
bin1000001010110001110…
…0101010110011110000
3111102012222200211220001
42002230130222303300
54244400012300000
6144245004555344
713065363410440
oct2025434526360
9442188624801
10140332150000
1154572927379
1223244b52b54
1310305638563
146b137b0120
1539b4e8146a
hex20ac72acf0

140332150000 has 120 divisors (see below), whose sum is σ = 388395453600. Its totient is φ = 48113760000.

The previous prime is 140332149973. The next prime is 140332150033. The reversal of 140332150000 is 51233041.

It is a super-2 number, since 2×1403321500002 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 140332150000.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 149526 + ... + 550474.

It is an arithmetic number, because the mean of its divisors is an integer number (3236628780).

Almost surely, 2140332150000 is an apocalyptic number.

140332150000 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 140332150000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194197726800).

140332150000 is an abundant number, since it is smaller than the sum of its proper divisors (248063303600).

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

140332150000 is an frugal number, since it uses more digits than its factorization.

140332150000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 400989 (or 400963 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 19.

Adding to 140332150000 its reverse (51233041), we get a palindrome (140383383041).

The spelling of 140332150000 in words is "one hundred forty billion, three hundred thirty-two million, one hundred fifty thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 56 70 80 100 112 125 140 175 200 250 280 350 400 500 560 625 700 875 1000 1250 1400 1750 2000 2500 2800 3125 3500 4375 5000 6250 7000 8750 10000 12500 14000 17500 21875 25000 35000 43750 50000 70000 87500 175000 350000 400949 801898 1603796 2004745 2806643 3207592 4009490 5613286 6415184 8018980 10023725 11226572 14033215 16037960 20047450 22453144 28066430 32075920 40094900 44906288 50118625 56132860 70166075 80189800 100237250 112265720 140332150 160379600 200474500 224531440 250593125 280664300 350830375 400949000 501186250 561328600 701660750 801898000 1002372500 1122657200 1252965625 1403321500 1754151875 2004745000 2505931250 2806643000 3508303750 4009490000 5011862500 5613286000 7016607500 8770759375 10023725000 14033215000 17541518750 20047450000 28066430000 35083037500 70166075000 140332150000