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4222544113000 = 235318123519923
BaseRepresentation
bin111101011100100011001…
…111011110110101101000
3112221200010100200222121201
4331130203033132311220
51023140232243104000
612551450542413544
7614032402521103
oct75344317366550
915850110628551
104222544113000
111388853085614
125824355912b4
132482518c8635
1410852d55b73a
1574c886db96a
hex3d7233ded68

4222544113000 has 128 divisors (see below), whose sum is σ = 9940570698240. Its totient is φ = 1678802400000.

The previous prime is 4222544112961. The next prime is 4222544113003. The reversal of 4222544113000 is 3114452224.

It is a self number, because there is not a number n which added to its sum of digits gives 4222544113000.

It is not an unprimeable number, because it can be changed into a prime (4222544113003) 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, 425526039 + ... + 425535961.

It is an arithmetic number, because the mean of its divisors is an integer number (77660708580).

Almost surely, 24222544113000 is an apocalyptic number.

4222544113000 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 4222544113000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4970285349120).

4222544113000 is an abundant number, since it is smaller than the sum of its proper divisors (5718026585240).

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

4222544113000 is a wasteful number, since it uses less digits than its factorization.

4222544113000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12476 (or 12462 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 28.

Adding to 4222544113000 its reverse (3114452224), we get a palindrome (4225658565224).

The spelling of 4222544113000 in words is "four trillion, two hundred twenty-two billion, five hundred forty-four million, one hundred thirteen thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 181 200 250 362 500 724 905 1000 1448 1810 2351 3620 4525 4702 7240 9050 9404 9923 11755 18100 18808 19846 22625 23510 36200 39692 45250 47020 49615 58775 79384 90500 94040 99230 117550 181000 198460 235100 248075 293875 396920 425531 470200 496150 587750 851062 992300 1175500 1240375 1702124 1796063 1984600 2127655 2351000 2480750 3404248 3592126 4255310 4961500 7184252 8510620 8980315 9923000 10638275 14368504 17021240 17960630 21276550 23328973 35921260 42553100 44901575 46657946 53191375 71842520 85106200 89803150 93315892 106382750 116644865 179606300 186631784 212765500 224507875 233289730 359212600 425531000 449015750 466579460 583224325 898031500 933158920 1166448650 1796063000 2332897300 2916121625 4222544113 4665794600 5832243250 8445088226 11664486500 16890176452 21112720565 23328973000 33780352904 42225441130 84450882260 105563602825 168901764520 211127205650 422254411300 527818014125 844508822600 1055636028250 2111272056500 4222544113000