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422123135040 = 26325146570533
BaseRepresentation
bin1100010010010000111…
…11111110000001000000
31111100120111011001222200
412021020133332001000
523404002010310130
6521530511433200
742332414305665
oct6111037760100
91440514131880
10422123135040
11153026561182
1269988225800
1330a62b441a9
1416606437a6c
15aea8c4b760
hex62487fe040

422123135040 has 84 divisors (see below), whose sum is σ = 1451927709804. Its totient is φ = 112566168576.

The previous prime is 422123134969. The next prime is 422123135059. The reversal of 422123135040 is 40531321224.

422123135040 is a `hidden beast` number, since 4 + 22 + 123 + 13 + 504 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 181026422784 + 241096712256 = 425472^2 + 491016^2 .

It is a super-2 number, since 2×4221231350402 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 422123134995 and 422123135013.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 73282387 + ... + 73288146.

Almost surely, 2422123135040 is an apocalyptic number.

422123135040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

422123135040 is an abundant number, since it is smaller than the sum of its proper divisors (1029804574764).

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

422123135040 is a wasteful number, since it uses less digits than its factorization.

422123135040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146570556 (or 146570543 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 422123135040 its reverse (40531321224), we get a palindrome (462654456264).

The spelling of 422123135040 in words is "four hundred twenty-two billion, one hundred twenty-three million, one hundred thirty-five thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 144 160 180 192 240 288 320 360 480 576 720 960 1440 2880 146570533 293141066 439711599 586282132 732852665 879423198 1172564264 1319134797 1465705330 1758846396 2198557995 2345128528 2638269594 2931410660 3517692792 4397115990 4690257056 5276539188 5862821320 6595673985 7035385584 8794231980 9380514112 10553078376 11725642640 13191347970 14070771168 17588463960 21106156752 23451285280 26382695940 28141542336 35176927920 42212313504 46902570560 52765391880 70353855840 84424627008 105530783760 140707711680 211061567520 422123135040