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4102055452341 = 3271159721113913
BaseRepresentation
bin111011101100010101100…
…011101101111010110101
3112112011010022000211201100
4323230111203231322311
51014202002143433331
612420242552320313
7602235521020050
oct73542543557265
915464108024640
104102055452341
1113417433a9510
1256300a0a3099
13239a8c3c9562
1410277d371a97
1571a858acae6
hex3bb158edeb5

4102055452341 has 96 divisors (see below), whose sum is σ = 7514040867840. Its totient is φ = 2094379257600.

The previous prime is 4102055452321. The next prime is 4102055452351. The reversal of 4102055452341 is 1432545502014.

4102055452341 is a `hidden beast` number, since 4 + 1 + 0 + 20 + 554 + 52 + 34 + 1 = 666.

It is not a de Polignac number, because 4102055452341 - 229 = 4101518581429 is a prime.

It is a super-2 number, since 2×41020554523412 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4102055452296 and 4102055452305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4102055452321) 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, 294829201 + ... + 294843113.

It is an arithmetic number, because the mean of its divisors is an integer number (78271259040).

Almost surely, 24102055452341 is an apocalyptic number.

It is an amenable number.

4102055452341 is a deficient number, since it is larger than the sum of its proper divisors (3411985415499).

4102055452341 is a wasteful number, since it uses less digits than its factorization.

4102055452341 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21207 (or 21204 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 36.

The spelling of 4102055452341 in words is "four trillion, one hundred two billion, fifty-five million, four hundred fifty-two thousand, three hundred forty-one".

Divisors: 1 3 7 9 11 21 33 59 63 77 99 177 231 413 531 649 693 1239 1947 3717 4543 5841 7211 13629 13913 21633 40887 41739 50477 64899 79321 97391 125217 151431 153043 237963 292173 425449 454293 459129 555247 713889 820867 876519 1071301 1276347 1377387 1665741 2462601 2978143 3213903 3829041 4679939 4997223 5746069 7387803 8934429 9029537 9641709 14039817 17238207 26803287 27088611 32759573 42119451 51714621 63206759 81265833 98278719 100326643 189620277 294836157 300979929 568860831 702286501 902939787 1103593073 2106859503 3310779219 5919271937 6320578509 7725151511 9932337657 17757815811 23175454533 41434903559 53273447433 65111991307 69526363599 124304710677 195335973921 372914132031 455783939149 586007921763 1367351817447 4102055452341