Search a number
-
+
22444411112412 = 22359711034334903
BaseRepresentation
bin1010001101001101111110…
…01001101100101111011100
32221110122221121012222202220
411012212333021230233130
510420212123221044122
6115422453051345340
74504361300451552
oct506467711545734
987418847188686
1022444411112412
117173691a48303
122625a63a52250
13c6a66408c983
1457845b249bd2
1528dc6d62525c
hex1469bf26cbdc

22444411112412 has 96 divisors (see below), whose sum is σ = 54532398735360. Its totient is φ = 7180678464960.

The previous prime is 22444411112401. The next prime is 22444411112419. The reversal of 22444411112412 is 21421111444422.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22444411112419) 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, 3010153 + ... + 7345055.

It is an arithmetic number, because the mean of its divisors is an integer number (568045820160).

Almost surely, 222444411112412 is an apocalyptic number.

It is an amenable number.

22444411112412 is an abundant number, since it is smaller than the sum of its proper divisors (32087987622948).

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

22444411112412 is a wasteful number, since it uses less digits than its factorization.

22444411112412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4335143 (or 4335141 counting only the distinct ones).

The product of its digits is 16384, while the sum is 33.

Adding to 22444411112412 its reverse (21421111444422), we get a palindrome (43865522556834).

The spelling of 22444411112412 in words is "twenty-two trillion, four hundred forty-four billion, four hundred eleven million, one hundred twelve thousand, four hundred twelve".

Divisors: 1 2 3 4 6 12 59 71 103 118 142 177 206 213 236 284 309 354 412 426 618 708 852 1236 4189 6077 7313 8378 12154 12567 14626 16756 18231 21939 24308 25134 29252 36462 43878 50268 72924 87756 431467 862934 1294401 1725868 2588802 4334903 5177604 8669806 13004709 17339612 26009418 52018836 255759277 307778113 446495009 511518554 615556226 767277831 892990018 923334339 1023037108 1231112452 1339485027 1534555662 1785980036 1846668678 2678970054 3069111324 3693337356 5357940108 18158908667 26343205531 31701145639 36317817334 52686411062 54476726001 63402291278 72635634668 79029616593 95103436917 105372822124 108953452002 126804582556 158059233186 190206873834 217906904004 316118466372 380413747668 1870367592701 3740735185402 5611102778103 7481470370804 11222205556206 22444411112412