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40442244424420 = 22531809308326153
BaseRepresentation
bin10010011001000001100011…
…00111001110001011100100
312022012020111112211111022011
421030200301213032023210
520300101204033040140
6222002524405044004
711342566342450666
oct1114406147161344
9168166445744264
1040442244424420
1111982506717823
124651b899b6604
1319748c1c72337
149db5b4d6c536
154a1ee0191cea
hex24c8319ce2e4

40442244424420 has 96 divisors (see below), whose sum is σ = 87808544087040. Its totient is φ = 15630041978880.

The previous prime is 40442244424391. The next prime is 40442244424423. The reversal of 40442244424420 is 2442444224404.

It is not an unprimeable number, because it can be changed into a prime (40442244424423) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1546358064 + ... + 1546384216.

It is an arithmetic number, because the mean of its divisors is an integer number (914672334240).

Almost surely, 240442244424420 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 40442244424420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43904272043520).

40442244424420 is an abundant number, since it is smaller than the sum of its proper divisors (47366299662620).

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

40442244424420 is a wasteful number, since it uses less digits than its factorization.

40442244424420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30085 (or 30083 counting only the distinct ones).

The product of its (nonzero) digits is 1048576, while the sum is 40.

Adding to 40442244424420 its reverse (2442444224404), we get a palindrome (42884688648824).

The spelling of 40442244424420 in words is "forty trillion, four hundred forty-two billion, two hundred forty-four million, four hundred twenty-four thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 31 62 124 155 310 620 809 1618 3083 3236 4045 6166 8090 12332 15415 16180 25079 26153 30830 50158 52306 61660 95573 100316 104612 125395 130765 191146 250790 261530 382292 477865 501580 523060 810743 955730 1621486 1911460 2494147 3242972 4053715 4988294 8107430 9976588 12470735 16214860 21157777 24941470 42315554 49882940 77318557 80629699 84631108 105788885 154637114 161259398 211577770 309274228 322518796 386592785 403148495 423155540 655891087 773185570 806296990 1311782174 1546371140 1612593980 2499520669 2623564348 3279455435 4999041338 6558910870 9998082676 12497603345 13117821740 24995206690 49990413380 65229426491 130458852982 260917705964 326147132455 652294264910 1304588529820 2022112221221 4044224442442 8088448884884 10110561106105 20221122212210 40442244424420