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40422243340 = 22517298349393
BaseRepresentation
bin100101101001010110…
…100111110000001100
310212100002120201110201
4211221112213300030
51130241043241330
630323020543244
72630462253643
oct455126476014
9125302521421
1040422243340
1116163336786
127a013b1b24
133a726b13ab
141d566c235a
1510b8ae0eca
hex9695a7c0c

40422243340 has 96 divisors (see below), whose sum is σ = 94101497280. Its totient is φ = 14515716096.

The previous prime is 40422243307. The next prime is 40422243373. The reversal of 40422243340 is 4334222404.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (40422243307) and next prime (40422243373).

It is a junction number, because it is equal to n+sod(n) for n = 40422243299 and 40422243308.

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, 793684 + ... + 843076.

It is an arithmetic number, because the mean of its divisors is an integer number (980223930).

Almost surely, 240422243340 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40422243340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47050748640).

40422243340 is an abundant number, since it is smaller than the sum of its proper divisors (53679253940).

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

40422243340 is a wasteful number, since it uses less digits than its factorization.

40422243340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49531 (or 49529 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 28.

Adding to 40422243340 its reverse (4334222404), we get a palindrome (44756465744).

The spelling of 40422243340 in words is "forty billion, four hundred twenty-two million, two hundred forty-three thousand, three hundred forty".

Divisors: 1 2 4 5 10 17 20 29 34 58 68 83 85 116 145 166 170 290 332 340 415 493 580 830 986 1411 1660 1972 2407 2465 2822 4814 4930 5644 7055 9628 9860 12035 14110 24070 28220 40919 48140 49393 81838 98786 163676 197572 204595 246965 409190 493930 818380 839681 987860 1432397 1679362 2864794 3358724 4099619 4198405 5729588 7161985 8199238 8396810 14323970 16398476 16793620 20498095 24350749 28647940 40996190 48701498 69693523 81992380 97402996 118888951 121753745 139387046 237777902 243507490 278774092 348467615 475555804 487014980 594444755 696935230 1188889510 1393870460 2021112167 2377779020 4042224334 8084448668 10105560835 20211121670 40422243340