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10413430042041 = 32131201451316421
BaseRepresentation
bin1001011110001001000011…
…0011000110110110111001
31100212111212211210110001200
42113202100303012312321
52331103201042321131
634051510321404413
72123226334616655
oct227422063066671
940774784713050
1010413430042041
113355346865814
121202238799709
135a6c9cc97cb0
14280026c01a65
15130d258d82e6
hex97890cc6db9

10413430042041 has 48 divisors (see below), whose sum is σ = 16216736429712. Its totient is φ = 6401120256000.

The previous prime is 10413430042027. The next prime is 10413430042073. The reversal of 10413430042041 is 14024003431401.

10413430042041 is a `hidden beast` number, since 1 + 0 + 413 + 43 + 0 + 0 + 4 + 204 + 1 = 666.

10413430042041 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 9629105486400 + 784324555641 = 3103080^2 + 885621^2 .

It is not a de Polignac number, because 10413430042041 - 27 = 10413430041913 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10413430041996 and 10413430042014.

It is not an unprimeable number, because it can be changed into a prime (10413430042241) 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, 634145011 + ... + 634161431.

It is an arithmetic number, because the mean of its divisors is an integer number (337848675619).

Almost surely, 210413430042041 is an apocalyptic number.

It is an amenable number.

10413430042041 is a deficient number, since it is larger than the sum of its proper divisors (5803306387671).

10413430042041 is a wasteful number, since it uses less digits than its factorization.

10413430042041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22154 (or 22151 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 10413430042041 its reverse (14024003431401), we get a palindrome (24437433473442).

The spelling of 10413430042041 in words is "ten trillion, four hundred thirteen billion, four hundred thirty million, forty-two thousand, forty-one".

Divisors: 1 3 9 13 39 117 1201 3603 4513 10809 13539 15613 16421 40617 46839 49263 58669 140517 147789 176007 213473 528021 640419 1921257 5420113 16260339 19721621 48781017 59164863 70461469 74107973 177494589 211384407 222323919 256381073 634153221 666971757 769143219 963403649 2307429657 2890210947 8670632841 89003675573 267011026719 801033080157 1157047782449 3471143347347 10413430042041