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2442414433122 = 2324326311998381
BaseRepresentation
bin100011100010101011001…
…111101010001101100010
322122111022001122200001100
4203202223033222031202
5310004031043324442
65110010225415230
7341313210065346
oct43425317521542
98574261580040
102442414433122
118619053015a4
1233543379a516
1314941b225201
14862dbb59626
15437ed33584c
hex238ab3ea362

2442414433122 has 48 divisors (see below), whose sum is σ = 5435555007168. Its totient is φ = 792181041120.

The previous prime is 2442414433117. The next prime is 2442414433127. The reversal of 2442414433122 is 2213344142442.

2442414433122 is a `hidden beast` number, since 2 + 44 + 241 + 44 + 331 + 2 + 2 = 666.

2442414433122 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2442414433117) and next prime (2442414433127).

It is a super-2 number, since 2×24424144331222 (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2442414433127) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5795629 + ... + 6202752.

It is an arithmetic number, because the mean of its divisors is an integer number (113240729316).

Almost surely, 22442414433122 is an apocalyptic number.

2442414433122 is an abundant number, since it is smaller than the sum of its proper divisors (2993140574046).

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

2442414433122 is a wasteful number, since it uses less digits than its factorization.

2442414433122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11998695 (or 11998692 counting only the distinct ones).

The product of its digits is 147456, while the sum is 36.

Adding to 2442414433122 its reverse (2213344142442), we get a palindrome (4655758575564).

The spelling of 2442414433122 in words is "two trillion, four hundred forty-two billion, four hundred fourteen million, four hundred thirty-three thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 43 86 129 258 263 387 526 774 789 1578 2367 4734 11309 22618 33927 67854 101781 203562 11998381 23996762 35995143 71990286 107985429 215970858 515930383 1031860766 1547791149 3095582298 3155574203 4643373447 6311148406 9286746894 9466722609 18933445218 28400167827 56800335654 135689690729 271379381458 407069072187 814138144374 1221207216561 2442414433122