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20242343142040 = 23519531493372757
BaseRepresentation
bin1001001101001000010011…
…01011000010001010011000
32122200011000200211200021011
410212210021223002022120
510123122304321021130
6111015112024423304
74156314063523405
oct446441153021230
978604020750234
1020242343142040
1164a4802a945a8
12232b127917b34
13b3aac9c54336
144dda3dba92ac
1525183a88652a
hex126909ac2298

20242343142040 has 128 divisors (see below), whose sum is σ = 49174811640000. Its totient is φ = 7475538290688.

The previous prime is 20242343142013. The next prime is 20242343142083. The reversal of 20242343142040 is 4024134324202.

It is a junction number, because it is equal to n+sod(n) for n = 20242343141993 and 20242343142011.

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 31 ways as a sum of consecutive naturals, for example, 4315342 + ... + 7688098.

Almost surely, 220242343142040 is an apocalyptic number.

20242343142040 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 20242343142040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24587405820000).

20242343142040 is an abundant number, since it is smaller than the sum of its proper divisors (28932468497960).

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

20242343142040 is a wasteful number, since it uses less digits than its factorization.

20242343142040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3372989 (or 3372985 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 31.

Adding to 20242343142040 its reverse (4024134324202), we get a palindrome (24266477466242).

The spelling of 20242343142040 in words is "twenty trillion, two hundred forty-two billion, three hundred forty-three million, one hundred forty-two thousand, forty".

Divisors: 1 2 4 5 8 10 19 20 38 40 53 76 95 106 149 152 190 212 265 298 380 424 530 596 745 760 1007 1060 1192 1490 2014 2120 2831 2980 4028 5035 5662 5960 7897 8056 10070 11324 14155 15794 20140 22648 28310 31588 39485 40280 56620 63176 78970 113240 150043 157940 300086 315880 600172 750215 1200344 1500430 3000860 3372757 6001720 6745514 13491028 16863785 26982056 33727570 64082383 67455140 128164766 134910280 178756121 256329532 320411915 357512242 502540793 512659064 640823830 715024484 893780605 1005081586 1281647660 1430048968 1787561210 2010163172 2512703965 2563295320 3396366299 3575122420 4020326344 5025407930 6792732598 7150244840 9548275067 10050815860 13585465196 16981831495 19096550134 20101631720 26634662029 27170930392 33963662990 38193100268 47741375335 53269324058 67927325980 76386200536 95482750670 106538648116 133173310145 135854651960 190965501340 213077296232 266346620290 381931002680 506058578551 532693240580 1012117157102 1065386481160 2024234314204 2530292892755 4048468628408 5060585785510 10121171571020 20242343142040