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241412201324334 = 23413739293276827
BaseRepresentation
bin110110111001000000101000…
…100000010001111100101110
31011122202210002101111100210000
4312321000220200101330232
5223120244142014334314
62213235122333125130
7101564312253516465
oct6671005040217456
91148683071440700
10241412201324334
116aa15381054227
12230ab3759297a6
13a4920c4224041
1443885acd719dc
151cd9a431a8209
hexdb9028811f2e

241412201324334 has 80 divisors (see below), whose sum is σ = 544906473466608. Its totient is φ = 79881034578048.

The previous prime is 241412201324297. The next prime is 241412201324377. The reversal of 241412201324334 is 433423102214142.

241412201324334 is a `hidden beast` number, since 2 + 4 + 1 + 4 + 12 + 201 + 3 + 2 + 433 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 871930429 + ... + 872207255.

Almost surely, 2241412201324334 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 241412201324334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272453236733304).

241412201324334 is an abundant number, since it is smaller than the sum of its proper divisors (303494272142274).

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

241412201324334 is a wasteful number, since it uses less digits than its factorization.

241412201324334 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316271 (or 316262 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

Adding to 241412201324334 its reverse (433423102214142), we get a palindrome (674835303538476).

The spelling of 241412201324334 in words is "two hundred forty-one trillion, four hundred twelve billion, two hundred one million, three hundred twenty-four thousand, three hundred thirty-four".

Divisors: 1 2 3 6 9 18 27 54 81 137 162 274 411 822 1233 2466 3699 7398 11097 22194 39293 78586 117879 235758 276827 353637 553654 707274 830481 1060911 1660962 2121822 2491443 3182733 4982886 5383141 6365466 7474329 10766282 14948658 16149423 22422987 32298846 37925299 44845974 48448269 75850598 96896538 113775897 145344807 227551794 290689614 341327691 436034421 682655382 872068842 1023983073 2047966146 3071949219 6143898438 10877363311 21754726622 32632089933 65264179866 97896269799 195792539598 293688809397 587377618794 881066428191 1490198773607 1762132856382 2980397547214 4470596320821 8941192641642 13411788962463 26823577924926 40235366887389 80470733774778 120706100662167 241412201324334