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2141414011341 = 321139763018647
BaseRepresentation
bin11111001010010110001…
…110001011000111001101
321120201100211020221121200
4133022112032023013031
5240041103441330331
64315430234020113
7310466143524303
oct37122616130715
97521324227550
102141414011341
11756194423640
122a702b277639
13126c1c06c467
1475905bda273
153aa82e105e6
hex1f29638b1cd

2141414011341 has 48 divisors (see below), whose sum is σ = 3383777125248. Its totient is φ = 1294202448000.

The previous prime is 2141414011339. The next prime is 2141414011349. The reversal of 2141414011341 is 1431104141412.

2141414011341 is a `hidden beast` number, since 214 + 1 + 4 + 1 + 401 + 1 + 3 + 41 = 666.

It is not a de Polignac number, because 2141414011341 - 21 = 2141414011339 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2141414011349) 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, 247643880 + ... + 247652526.

It is an arithmetic number, because the mean of its divisors is an integer number (70495356776).

Almost surely, 22141414011341 is an apocalyptic number.

It is an amenable number.

2141414011341 is a deficient number, since it is larger than the sum of its proper divisors (1242363113907).

2141414011341 is a wasteful number, since it uses less digits than its factorization.

2141414011341 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15362 (or 15359 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

Adding to 2141414011341 its reverse (1431104141412), we get a palindrome (3572518152753).

The spelling of 2141414011341 in words is "two trillion, one hundred forty-one billion, four hundred fourteen million, eleven thousand, three hundred forty-one".

Divisors: 1 3 9 11 33 99 397 1191 3573 4367 6301 8647 13101 18903 25941 39303 56709 69311 77823 95117 207933 285351 623799 856053 2501497 3432859 7504491 10298577 22513473 27516467 30895731 37761449 54484747 82549401 113284347 163454241 247648203 339853041 490362723 599332217 1797996651 5393989953 21630444559 64891333677 194674001031 237934890149 713804670447 2141414011341