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10541214414 = 2325317961729
BaseRepresentation
bin10011101000100111…
…00010101011001110
31000012122011011201200
421310103202223032
5133042022330124
64501554450330
7522135562353
oct116423425316
930178134650
1010541214414
11451a271455
1220622939a6
13cbcb72aa3
1471dda662a
1541a667bc9
hex2744e2ace

10541214414 has 48 divisors (see below), whose sum is σ = 23400608400. Its totient is φ = 3428126208.

The previous prime is 10541214391. The next prime is 10541214451. The reversal of 10541214414 is 41441214501.

It is a happy number.

10541214414 is a `hidden beast` number, since 105 + 412 + 144 + 1 + 4 = 666.

10541214414 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×105412144142 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 139902 + ... + 201630.

It is an arithmetic number, because the mean of its divisors is an integer number (487512675).

Almost surely, 210541214414 is an apocalyptic number.

10541214414 is an abundant number, since it is smaller than the sum of its proper divisors (12859393986).

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

10541214414 is a wasteful number, since it uses less digits than its factorization.

10541214414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61969 (or 61966 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

Adding to 10541214414 its reverse (41441214501), we get a palindrome (51982428915).

The spelling of 10541214414 in words is "ten billion, five hundred forty-one million, two hundred fourteen thousand, four hundred fourteen".

Divisors: 1 2 3 6 9 18 53 106 159 179 318 358 477 537 954 1074 1611 3222 9487 18974 28461 56922 61729 85383 123458 170766 185187 370374 555561 1111122 3271637 6543274 9814911 11049491 19629822 22098982 29444733 33148473 58889466 66296946 99445419 198890838 585623023 1171246046 1756869069 3513738138 5270607207 10541214414