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4314101411133 = 3219236120398819
BaseRepresentation
bin111110110001110100011…
…110110110110100111101
3120021102110010220122011200
4332301310132312310331
51031140234430124013
613101512033210113
7623453311644333
oct76616436666475
916242403818150
104314101411133
111413666861858
12598127a00939
13253a832520a7
1410cb371d5b53
157734662ee73
hex3ec747b6d3d

4314101411133 has 96 divisors (see below), whose sum is σ = 6961054464000. Its totient is φ = 2561957735040.

The previous prime is 4314101411111. The next prime is 4314101411173. The reversal of 4314101411133 is 3311141014134.

4314101411133 is a `hidden beast` number, since 4 + 3 + 14 + 101 + 411 + 133 = 666.

It is not a de Polignac number, because 4314101411133 - 26 = 4314101411069 is a prime.

It is a super-2 number, since 2×43141014111332 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4314101411097 and 4314101411106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4314101411173) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 489178198 + ... + 489187016.

It is an arithmetic number, because the mean of its divisors is an integer number (72510984000).

Almost surely, 24314101411133 is an apocalyptic number.

It is an amenable number.

4314101411133 is a deficient number, since it is larger than the sum of its proper divisors (2646953052867).

4314101411133 is a wasteful number, since it uses less digits than its factorization.

4314101411133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10967 (or 10964 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

Adding to 4314101411133 its reverse (3311141014134), we get a palindrome (7625242425267).

The spelling of 4314101411133 in words is "four trillion, three hundred fourteen billion, one hundred one million, four hundred eleven thousand, one hundred thirty-three".

Divisors: 1 3 9 19 23 57 61 69 171 183 207 437 549 1159 1311 1403 2039 3477 3933 4209 6117 8819 10431 12627 18351 26457 26657 38741 46897 79371 79971 116223 124379 140691 167561 202837 239913 348669 373137 422073 502683 537959 608511 891043 1119411 1508049 1613877 1825533 2363201 2673129 2860717 3853903 4841631 7089603 8019387 8582151 10221221 11561709 12373057 17981941 21268809 25746453 30663663 34685127 37119171 53945823 54353623 91990989 111357513 161837469 163060869 235088083 341656879 413584643 489182607 705264249 1024970637 1096898401 1240753929 2115792747 3074911911 3290695203 3722261787 7858108217 9872085609 20841069619 23574324651 25228663223 62523208857 70722973953 75685989669 187569626571 227057969007 479344601237 1438033803711 4314101411133