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40204220000 = 25547287173
BaseRepresentation
bin100101011100010110…
…111011011001100000
310211202220022222200012
4211130112323121200
51124314240020000
630245231544052
72622204142250
oct453426733140
9124686288605
1040204220000
11160612635aa
12796038b028
133a394865b9
141d3576b960
1510a48c6735
hex95c5bb660

40204220000 has 120 divisors (see below), whose sum is σ = 113038578576. Its totient is φ = 13784256000.

The previous prime is 40204219981. The next prime is 40204220009. The reversal of 40204220000 is 2240204.

It is a happy number.

40204220000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40204220009) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3587 + ... + 283586.

Almost surely, 240204220000 is an apocalyptic number.

40204220000 is a gapful number since it is divisible by the number (40) 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 40204220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56519289288).

40204220000 is an abundant number, since it is smaller than the sum of its proper divisors (72834358576).

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

40204220000 is an equidigital number, since it uses as much as digits as its factorization.

40204220000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287210 (or 287187 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 14.

Adding to 40204220000 its reverse (2240204), we get a palindrome (40206460204).

The spelling of 40204220000 in words is "forty billion, two hundred four million, two hundred twenty thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 70 80 100 112 125 140 160 175 200 224 250 280 350 400 500 560 625 700 800 875 1000 1120 1250 1400 1750 2000 2500 2800 3500 4000 4375 5000 5600 7000 8750 10000 14000 17500 20000 28000 35000 70000 140000 287173 574346 1148692 1435865 2010211 2297384 2871730 4020422 4594768 5743460 7179325 8040844 9189536 10051055 11486920 14358650 16081688 20102110 22973840 28717300 32163376 35896625 40204220 45947680 50255275 57434600 64326752 71793250 80408440 100510550 114869200 143586500 160816880 179483125 201021100 229738400 251276375 287173000 321633760 358966250 402042200 502552750 574346000 717932500 804084400 1005105500 1148692000 1256381875 1435865000 1608168800 2010211000 2512763750 2871730000 4020422000 5025527500 5743460000 8040844000 10051055000 20102110000 40204220000