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10414105525242 = 2331940973247729
BaseRepresentation
bin1001011110001011100100…
…0011110111101111111010
31100212120121220211112211000
42113202321003313233322
52331111042003301432
634052101331345430
72123252146260516
oct227427103675772
940776556745730
1010414105525242
11335566308a2a1
1212023a6a52276
135a7079c020b3
1428008c7d7146
15130d64d6657c
hex978b90f7bfa

10414105525242 has 64 divisors (see below), whose sum is σ = 24361173648000. Its totient is φ = 3288571363584.

The previous prime is 10414105525183. The next prime is 10414105525249. The reversal of 10414105525242 is 24252550141401.

10414105525242 is a `hidden beast` number, since 1 + 0 + 4 + 1 + 4 + 10 + 552 + 52 + 42 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 10414105525197 and 10414105525206.

It is not an unprimeable number, because it can be changed into a prime (10414105525249) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 41914434 + ... + 42162162.

It is an arithmetic number, because the mean of its divisors is an integer number (380643338250).

Almost surely, 210414105525242 is an apocalyptic number.

10414105525242 is an abundant number, since it is smaller than the sum of its proper divisors (13947068122758).

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

10414105525242 is a wasteful number, since it uses less digits than its factorization.

10414105525242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288732 (or 288726 counting only the distinct ones).

The product of its (nonzero) digits is 64000, while the sum is 36.

Adding to 10414105525242 its reverse (24252550141401), we get a palindrome (34666655666643).

The spelling of 10414105525242 in words is "ten trillion, four hundred fourteen billion, one hundred five million, five hundred twenty-five thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 18 19 27 38 54 57 114 171 342 513 1026 40973 81946 122919 245838 247729 368757 495458 737514 743187 778487 1106271 1486374 1556974 2212542 2229561 2335461 4459122 4670922 4706851 6688683 7006383 9413702 13377366 14012766 14120553 21019149 28241106 42038298 42361659 84723318 127084977 254169954 10150200317 20300400634 30450600951 60901201902 91351802853 182703605706 192853806023 274055408559 385707612046 548110817118 578561418069 1157122836138 1735684254207 3471368508414 5207052762621 10414105525242