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412015405113 = 33132426121191
BaseRepresentation
bin1011111111011100000…
…10000010100000111001
31110101111001200012012000
411333232002002200321
523222301420430423
6513135520011213
741524061105424
oct5775602024071
91411431605160
10412015405113
11149809a56074
1267a27160b09
132cb11a37a00
1415d27c709bb
15aab66ad843
hex5fee082839

412015405113 has 48 divisors (see below), whose sum is σ = 661144625280. Its totient is φ = 253476475200.

The previous prime is 412015405103. The next prime is 412015405163. The reversal of 412015405113 is 311504510214.

412015405113 is a `hidden beast` number, since 4 + 1 + 2 + 0 + 1 + 540 + 5 + 113 = 666.

It is not a de Polignac number, because 412015405113 - 24 = 412015405097 is a prime.

It is a super-3 number, since 3×4120154051133 (a number of 36 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (412015405103) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 19432348 + ... + 19453538.

It is an arithmetic number, because the mean of its divisors is an integer number (13773846360).

Almost surely, 2412015405113 is an apocalyptic number.

It is an amenable number.

412015405113 is a deficient number, since it is larger than the sum of its proper divisors (249129220167).

412015405113 is a wasteful number, since it uses less digits than its factorization.

412015405113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25487 (or 25468 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

Adding to 412015405113 its reverse (311504510214), we get a palindrome (723519915327).

The spelling of 412015405113 in words is "four hundred twelve billion, fifteen million, four hundred five thousand, one hundred thirteen".

Divisors: 1 3 9 13 27 39 117 169 351 507 1521 4261 4563 12783 21191 38349 55393 63573 115047 166179 190719 275483 498537 572157 720109 826449 1495611 2160327 2479347 3581279 6480981 7438041 10743837 19442943 32231511 90294851 96694533 270884553 812653659 1173833063 2437960977 3521499189 10564497567 15259829819 31693492701 45779489457 137338468371 412015405113