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30241122444 = 223313191112771
BaseRepresentation
bin11100001010100000…
…101110100010001100
32220001120000012012000
4130022200232202030
5443413211404234
621520444112300
72120255204511
oct341240564214
986046005160
1030241122444
1111909363985
125a3b835690
132b0c319ac0
14166c493308
15bbeda7899
hex70a82e88c

30241122444 has 96 divisors (see below), whose sum is σ = 84876718080. Its totient is φ = 9256161600.

The previous prime is 30241122433. The next prime is 30241122451. The reversal of 30241122444 is 44422114203.

30241122444 is a `hidden beast` number, since 3 + 0 + 2 + 411 + 2 + 244 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 211779 + ... + 324549.

It is an arithmetic number, because the mean of its divisors is an integer number (884132480).

Almost surely, 230241122444 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30241122444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42438359040).

30241122444 is an abundant number, since it is smaller than the sum of its proper divisors (54635595636).

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

30241122444 is a wasteful number, since it uses less digits than its factorization.

30241122444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112988 (or 112980 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 30241122444 its reverse (44422114203), we get a palindrome (74663236647).

The spelling of 30241122444 in words is "thirty billion, two hundred forty-one million, one hundred twenty-two thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 108 117 156 191 234 351 382 468 573 702 764 1146 1404 1719 2292 2483 3438 4966 5157 6876 7449 9932 10314 14898 20628 22347 29796 44694 67041 89388 112771 134082 225542 268164 338313 451084 676626 1014939 1353252 1466023 2029878 2932046 3044817 4059756 4398069 5864092 6089634 8796138 12179268 13194207 17592276 21539261 26388414 39582621 43078522 52776828 64617783 79165242 86157044 129235566 158330484 193853349 258471132 280010393 387706698 560020786 581560047 775413396 840031179 1120041572 1163120094 1680062358 2326240188 2520093537 3360124716 5040187074 7560280611 10080374148 15120561222 30241122444