Search a number
-
+
2442213501444 = 22321733112056027
BaseRepresentation
bin100011100010011111010…
…001001010101000000100
322122110210001120021121100
4203202133101022220010
5310003123124021234
65105534251020100
7341305220150613
oct43423721125004
98573701507540
102442213501444
11861811942662
1233539843a630
131493b8702b22
14862bd1b387a
15437da895399
hex2389f44aa04

2442213501444 has 72 divisors (see below), whose sum is σ = 6556260922848. Its totient is φ = 763869807360.

The previous prime is 2442213501439. The next prime is 2442213501467. The reversal of 2442213501444 is 4441053122442.

2442213501444 is a `hidden beast` number, since 2 + 44 + 221 + 350 + 1 + 4 + 44 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2442213501399 and 2442213501408.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5825442 + ... + 6230585.

It is an arithmetic number, because the mean of its divisors is an integer number (91059179484).

Almost surely, 22442213501444 is an apocalyptic number.

It is an amenable number.

2442213501444 is an abundant number, since it is smaller than the sum of its proper divisors (4114047421404).

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

2442213501444 is a wasteful number, since it uses less digits than its factorization.

2442213501444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12056385 (or 12056380 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 36.

Adding to 2442213501444 its reverse (4441053122442), we get a palindrome (6883266623886).

The spelling of 2442213501444 in words is "two trillion, four hundred forty-two billion, two hundred thirteen million, five hundred one thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 306 331 612 662 993 1324 1986 2979 3972 5627 5958 11254 11916 16881 22508 33762 50643 67524 101286 202572 12056027 24112054 36168081 48224108 72336162 108504243 144672324 204952459 217008486 409904918 434016972 614857377 819809836 1229714754 1844572131 2459429508 3689144262 3990544937 7378288524 7981089874 11971634811 15962179748 23943269622 35914904433 47886539244 67839263929 71829808866 135678527858 143659617732 203517791787 271357055716 407035583574 610553375361 814071167148 1221106750722 2442213501444