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241671621350214 = 2321117916074243181
BaseRepresentation
bin110110111100110010001111…
…001001001001001101000110
31011200200120200211001010002200
4312330302033021021031012
5223134021440031201324
62213554224332415330
7101622125032406526
oct6674621711111506
91150616624033080
10241671621350214
11700053a4982330
12231316b5017546
13a4b06c7a96933
144396d7c893686
151ce1677ebaec9
hexdbcc8f249346

241671621350214 has 96 divisors (see below), whose sum is σ = 574772607901440. Its totient is φ = 72779362814400.

The previous prime is 241671621350213. The next prime is 241671621350233. The reversal of 241671621350214 is 412053126176142.

It is a happy number.

241671621350214 is a `hidden beast` number, since 2 + 4 + 1 + 6 + 7 + 1 + 621 + 3 + 5 + 0 + 2 + 14 = 666.

241671621350214 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2416716213502142 (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 241671621350214.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (241671621350213) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 54833704 + ... + 59076884.

It is an arithmetic number, because the mean of its divisors is an integer number (5987214665640).

Almost surely, 2241671621350214 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 241671621350214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287386303950720).

241671621350214 is an abundant number, since it is smaller than the sum of its proper divisors (333100986551226).

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

241671621350214 is a wasteful number, since it uses less digits than its factorization.

241671621350214 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4244986 (or 4244983 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 241671621350214 in words is "two hundred forty-one trillion, six hundred seventy-one billion, six hundred twenty-one million, three hundred fifty thousand, two hundred fourteen".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 179 198 358 537 1074 1607 1611 1969 3214 3222 3938 4821 5907 9642 11814 14463 17677 17721 28926 35354 35442 53031 106062 159093 287653 318186 575306 862959 1725918 2588877 3164183 4243181 5177754 6328366 8486362 9492549 12729543 18985098 25459086 28477647 38188629 46674991 56955294 76377258 93349982 140024973 280049946 420074919 759529399 840149838 1519058798 2278588197 4557176394 6818791867 6835764591 8354823389 13637583734 13671529182 16709646778 20456375601 25064470167 40912751202 50128940334 61369126803 75006710537 75193410501 122738253606 150013421074 150386821002 225020131611 450040263222 675060394833 1220563744193 1350120789666 2441127488386 3661691232579 7323382465158 10985073697737 13426201186123 21970147395474 26852402372246 40278603558369 80557207116738 120835810675107 241671621350214