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2121424020144 = 24321113103021757
BaseRepresentation
bin11110110111101110101…
…110011010001010110000
321111210202200120011212100
4132313232232122022300
5234224134022121034
64302322503100400
7306160602434502
oct36675656321260
97453680504770
102121424020144
11748766610360
122a3190741700
1312508478a3c0
147496ad9bd72
153a2b2ec0099
hex1edeeb9a2b0

2121424020144 has 120 divisors (see below), whose sum is σ = 6974985103632. Its totient is φ = 593405314560.

The previous prime is 2121424020139. The next prime is 2121424020169. The reversal of 2121424020144 is 4410204241212.

2121424020144 is a `hidden beast` number, since 2 + 1 + 214 + 2 + 402 + 0 + 1 + 44 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 51490287 + ... + 51531470.

Almost surely, 22121424020144 is an apocalyptic number.

2121424020144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2121424020144 is an abundant number, since it is smaller than the sum of its proper divisors (4853561083488).

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

2121424020144 is a wasteful number, since it uses less digits than its factorization.

2121424020144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103021795 (or 103021786 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

Adding to 2121424020144 its reverse (4410204241212), we get a palindrome (6531628261356).

The spelling of 2121424020144 in words is "two trillion, one hundred twenty-one billion, four hundred twenty-four million, twenty thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 11 12 13 16 18 22 24 26 33 36 39 44 48 52 66 72 78 88 99 104 117 132 143 144 156 176 198 208 234 264 286 312 396 429 468 528 572 624 792 858 936 1144 1287 1584 1716 1872 2288 2574 3432 5148 6864 10296 20592 103021757 206043514 309065271 412087028 618130542 824174056 927195813 1133239327 1236261084 1339282841 1648348112 1854391626 2266478654 2472522168 2678565682 3399717981 3708783252 4017848523 4532957308 4945044336 5357131364 6799435962 7417566504 8035697046 9065914616 10199153943 10714262728 12053545569 13598871924 14732111251 14835133008 16071394092 18131829232 20398307886 21428525456 24107091138 27197743848 29464222502 32142788184 40796615772 44196333753 48214182276 54395487696 58928445004 64285576368 81593231544 88392667506 96428364552 117856890008 132589001259 163186463088 176785335012 192856729104 235713780016 265178002518 353570670024 530356005036 707141340048 1060712010072 2121424020144