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20340142240 = 2551131336923
BaseRepresentation
bin10010111100010111…
…011111000010100000
31221111112120021200111
4102330113133002200
5313124034022430
613202155501104
71320022233145
oct227427370240
957445507614
1020340142240
118698530a10
123b37a57794
131bc1cbbc32
14dad5483cc
157e0a58c2a
hex4bc5df0a0

20340142240 has 96 divisors (see below), whose sum is σ = 52591000896. Its totient is φ = 7372584960.

The previous prime is 20340142237. The next prime is 20340142261. The reversal of 20340142240 is 4224104302.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (22).

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 15 ways as a sum of consecutive naturals, for example, 532419 + ... + 569341.

It is an arithmetic number, because the mean of its divisors is an integer number (547822926).

Almost surely, 220340142240 is an apocalyptic number.

20340142240 is a gapful number since it is divisible by the number (20) 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 20340142240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26295500448).

20340142240 is an abundant number, since it is smaller than the sum of its proper divisors (32250858656).

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

20340142240 is a wasteful number, since it uses less digits than its factorization.

20340142240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37262 (or 37254 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

Adding to 20340142240 its reverse (4224104302), we get a palindrome (24564246542).

The spelling of 20340142240 in words is "twenty billion, three hundred forty million, one hundred forty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 110 160 176 220 313 352 440 626 880 1252 1565 1760 2504 3130 3443 5008 6260 6886 10016 12520 13772 17215 25040 27544 34430 36923 50080 55088 68860 73846 110176 137720 147692 184615 275440 295384 369230 406153 550880 590768 738460 812306 1181536 1476920 1624612 2030765 2953840 3249224 4061530 5907680 6498448 8123060 11556899 12996896 16246120 23113798 32492240 46227596 57784495 64984480 92455192 115568990 127125889 184910384 231137980 254251778 369820768 462275960 508503556 635629445 924551920 1017007112 1271258890 1849103840 2034014224 2542517780 4068028448 5085035560 10170071120 20340142240