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40422020000 = 25548922709
BaseRepresentation
bin100101101001010101…
…110001001110100000
310212100002011101002212
4211221111301032200
51130241014120000
630323012101252
72630460333545
oct455125611640
9125302141085
1040422020000
11161631a39aa
127a01304828
133a7263383b
141d56664bcc
1510b8a99c35
hex9695713a0

40422020000 has 120 divisors (see below), whose sum is σ = 100566011700. Its totient is φ = 15986432000.

The previous prime is 40422019951. The next prime is 40422020027. The reversal of 40422020000 is 2022404.

It is a happy number.

It can be written as a sum of positive squares in 10 ways, for example, as 21186549136 + 19235470864 = 145556^2 + 138692^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1768646 + ... + 1791354.

Almost surely, 240422020000 is an apocalyptic number.

40422020000 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 40422020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50283005850).

40422020000 is an abundant number, since it is smaller than the sum of its proper divisors (60143991700).

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

40422020000 is an equidigital number, since it uses as much as digits as its factorization.

40422020000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22828 (or 22805 counting only the distinct ones).

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

Adding to 40422020000 its reverse (2022404), we get a palindrome (40424042404).

The spelling of 40422020000 in words is "forty billion, four hundred twenty-two million, twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 89 100 125 160 178 200 250 356 400 445 500 625 712 800 890 1000 1250 1424 1780 2000 2225 2500 2848 3560 4000 4450 5000 7120 8900 10000 11125 14240 17800 20000 22250 22709 35600 44500 45418 55625 71200 89000 90836 111250 113545 178000 181672 222500 227090 356000 363344 445000 454180 567725 726688 890000 908360 1135450 1780000 1816720 2021101 2270900 2838625 3633440 4042202 4541800 5677250 8084404 9083600 10105505 11354500 14193125 16168808 18167200 20211010 22709000 28386250 32337616 40422020 45418000 50527525 56772500 64675232 80844040 90836000 101055050 113545000 161688080 202110100 227090000 252637625 323376160 404220200 454180000 505275250 808440400 1010550500 1263188125 1616880800 2021101000 2526376250 4042202000 5052752500 8084404000 10105505000 20211010000 40422020000