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410642151413 = 135319314292161
BaseRepresentation
bin1011111100111000010…
…11011111011111110101
31110020221100122200020212
411332130023133133311
523211443342321123
6512351342235205
741445044460344
oct5763413373765
91406840580225
10410642151413
1114917487525a
1267703285b05
132c953392260
1415c37721b5b
15aa35d4d878
hex5f9c2df7f5

410642151413 has 32 divisors (see below), whose sum is σ = 453435222240. Its totient is φ = 369545379840.

The previous prime is 410642151379. The next prime is 410642151433. The reversal of 410642151413 is 314151246014.

It can be written as a sum of positive squares in 16 ways, for example, as 213867401764 + 196774749649 = 462458^2 + 443593^2 .

It is not a de Polignac number, because 410642151413 - 212 = 410642147317 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 410642151413.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (410642151433) 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, 190023053 + ... + 190025213.

It is an arithmetic number, because the mean of its divisors is an integer number (14169850695).

Almost surely, 2410642151413 is an apocalyptic number.

It is an amenable number.

410642151413 is a deficient number, since it is larger than the sum of its proper divisors (42793070827).

410642151413 is a wasteful number, since it uses less digits than its factorization.

410642151413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3849.

The product of its (nonzero) digits is 11520, while the sum is 32.

Adding to 410642151413 its reverse (314151246014), we get a palindrome (724793397427).

The spelling of 410642151413 in words is "four hundred ten billion, six hundred forty-two million, one hundred fifty-one thousand, four hundred thirteen".

Divisors: 1 13 53 193 689 1429 2161 2509 10229 18577 28093 75737 114533 132977 275797 417073 984581 1488929 3088069 3585361 5421949 14617241 22104869 40144897 163667657 190024133 287363297 595997317 2127679541 7747965121 31587857801 410642151413