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22142153123240 = 2354756932068811
BaseRepresentation
bin1010000100011010111110…
…01010111110010110101000
32220101202202201111020012012
411002031133022332112220
510400234112144420430
6115031544213535052
74443501124106333
oct502153712762650
986352681436165
1022142153123240
117067486214357
12259736a344488
13c47cc4507ac7
1456798629361a
15285e7cae2695
hex14235f2be5a8

22142153123240 has 64 divisors (see below), whose sum is σ = 50888803080960. Its totient is φ = 8666890558720.

The previous prime is 22142153123203. The next prime is 22142153123243. The reversal of 22142153123240 is 4232135124122.

It is a junction number, because it is equal to n+sod(n) for n = 22142153123197 and 22142153123206.

It is not an unprimeable number, because it can be changed into a prime (22142153123243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9668435 + ... + 11737245.

It is an arithmetic number, because the mean of its divisors is an integer number (795137548140).

Almost surely, 222142153123240 is an apocalyptic number.

22142153123240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22142153123240 is an abundant number, since it is smaller than the sum of its proper divisors (28746649957720).

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

22142153123240 is a wasteful number, since it uses less digits than its factorization.

22142153123240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2074562 (or 2074558 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 32.

Adding to 22142153123240 its reverse (4232135124122), we get a palindrome (26374288247362).

The spelling of 22142153123240 in words is "twenty-two trillion, one hundred forty-two billion, one hundred fifty-three million, one hundred twenty-three thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 20 40 47 94 188 235 376 470 940 1880 5693 11386 22772 28465 45544 56930 113860 227720 267571 535142 1070284 1337855 2068811 2140568 2675710 4137622 5351420 8275244 10344055 10702840 16550488 20688110 41376220 82752440 97234117 194468234 388936468 486170585 777872936 972341170 1944682340 3889364680 11777741023 23555482046 47110964092 58888705115 94221928184 117777410230 235554820460 471109640920 553553828081 1107107656162 2214215312324 2767769140405 4428430624648 5535538280810 11071076561620 22142153123240