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3414104244342 = 2331153691156941
BaseRepresentation
bin110001101011101000011…
…110001000000001110110
3110002101101210110111101000
4301223220132020001312
5421414041141304332
611132230130344130
7501442454154021
oct61535036100166
913071353414330
103414104244342
1110a6a05927660
1247181472b046
131b9c4424874c
14bb35a34a1b8
155dc1e4b2b7c
hex31ae8788076

3414104244342 has 128 divisors (see below), whose sum is σ = 8445036464640. Its totient is φ = 1013581296000.

The previous prime is 3414104244337. The next prime is 3414104244377. The reversal of 3414104244342 is 2434424014143.

3414104244342 is a `hidden beast` number, since 34 + 1 + 41 + 0 + 4 + 244 + 342 = 666.

It is a super-2 number, since 2×34141042443422 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3414104244297 and 3414104244306.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 21675592 + ... + 21832532.

It is an arithmetic number, because the mean of its divisors is an integer number (65976847380).

Almost surely, 23414104244342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3414104244342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4222518232320).

3414104244342 is an abundant number, since it is smaller than the sum of its proper divisors (5030932220298).

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

3414104244342 is a wasteful number, since it uses less digits than its factorization.

3414104244342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157707 (or 157701 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

Adding to 3414104244342 its reverse (2434424014143), we get a palindrome (5848528258485).

The spelling of 3414104244342 in words is "three trillion, four hundred fourteen billion, one hundred four million, two hundred forty-four thousand, three hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 27 33 53 54 66 99 106 159 198 297 318 477 583 594 691 954 1166 1382 1431 1749 2073 2862 3498 4146 5247 6219 7601 10494 12438 15202 15741 18657 22803 31482 36623 37314 45606 68409 73246 109869 136818 156941 205227 219738 313882 329607 402853 410454 470823 659214 805706 941646 988821 1208559 1412469 1726351 1977642 2417118 2824938 3452702 3625677 4237407 5179053 7251354 8317873 8474814 10358106 10877031 15537159 16635746 21754062 24953619 31074318 46611477 49907238 74860857 91496603 93222954 108446231 149721714 182993206 216892462 224582571 274489809 325338693 449165142 548979618 650677386 823469427 976016079 1192908541 1646938854 1952032158 2385817082 2470408281 2928048237 3578725623 4940816562 5747650243 5856096474 7157451246 10736176869 11495300486 17242950729 21472353738 32208530607 34485901458 51728852187 63224152673 64417061214 103457704374 126448305346 155186556561 189672458019 310373113122 379344916038 569017374057 1138034748114 1707052122171 3414104244342