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241144242401112 = 233411033258773013
BaseRepresentation
bin110110110101000111000100…
…111010000110111101011000
31011121211011102212111200101020
4312311013010322012331120
5223101401402023313422
62212512045143322440
7101536045061326131
oct6665070472067530
91147734385450336
10241144242401112
116a921776244176
1223067452a50420
13a472a5c5b757b
14437962d386c88
151cd2aad8eb95c
hexdb51c4e86f58

241144242401112 has 128 divisors (see below), whose sum is σ = 623587971202560. Its totient is φ = 77656077204480.

The previous prime is 241144242401063. The next prime is 241144242401149. The reversal of 241144242401112 is 211104242441142.

It is a congruent number.

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, 3302721118 + ... + 3302794130.

It is an arithmetic number, because the mean of its divisors is an integer number (4871781025020).

Almost surely, 2241144242401112 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 241144242401112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311793985601280).

241144242401112 is an abundant number, since it is smaller than the sum of its proper divisors (382443728801448).

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

241144242401112 is a wasteful number, since it uses less digits than its factorization.

241144242401112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105753 (or 105749 counting only the distinct ones).

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

Adding to 241144242401112 its reverse (211104242441142), we get a palindrome (452248484842254).

The spelling of 241144242401112 in words is "two hundred forty-one trillion, one hundred forty-four billion, two hundred forty-two million, four hundred one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 41 82 103 123 164 206 246 309 328 412 492 618 824 984 1236 2472 4223 8446 12669 16892 25338 32587 33784 50676 65174 73013 97761 101352 130348 146026 195522 219039 260696 292052 391044 438078 584104 782088 876156 1336067 1752312 2672134 2993533 3356461 4008201 5344268 5987066 6712922 7520339 8016402 8980599 10069383 10688536 11974132 13425844 15040678 16032804 17961198 20138766 22561017 23948264 26851688 30081356 32065608 35922396 40277532 45122034 60162712 71844792 80555064 90244068 137614901 180488136 275229802 308333899 412844703 550459604 616667798 825689406 925001697 1100919208 1233335596 1651378812 1850003394 2379274631 2466671192 3302757624 3700006788 4758549262 7137823893 7400013576 9517098524 14275647786 19034197048 28551295572 57102591144 97550259871 195100519742 245065286993 292650779613 390201039484 490130573986 585301559226 735195860979 780402078968 980261147972 1170603118452 1470391721958 1960522295944 2341206236904 2940783443916 5881566887832 10047676766713 20095353533426 30143030300139 40190707066852 60286060600278 80381414133704 120572121200556 241144242401112