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16408841409 = 344323312
BaseRepresentation
bin11110100100000101…
…10000110011000001
31120100120010111210000
433102002300303001
5232101130411114
611312122230213
71120424564532
oct172202606301
946316114700
1016408841409
116a603aa464
12321b355369
1317166a1c1c
14b19398689
15660853e09
hex3d20b0cc1

16408841409 has 45 divisors (see below), whose sum is σ = 25171321329. Its totient is φ = 10652546520.

The previous prime is 16408841381. The next prime is 16408841419. The reversal of 16408841409 is 90414880461.

The square root of 16408841409 is 128097.

It is a perfect power (a square), and thus also a powerful number.

16408841409 is a `hidden beast` number, since 164 + 0 + 8 + 84 + 1 + 409 = 666.

It is not a de Polignac number, because 16408841409 - 29 = 16408840897 is a prime.

It is not an unprimeable number, because it can be changed into a prime (16408841419) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 49573374 + ... + 49573704.

Almost surely, 216408841409 is an apocalyptic number.

16408841409 is the 128097-th square number.

16408841409 is the 64049-th centered octagonal number.

It is an amenable number.

16408841409 is a deficient number, since it is larger than the sum of its proper divisors (8762479920).

16408841409 is an frugal number, since it uses more digits than its factorization.

16408841409 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 760 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 16408841409 in words is "sixteen billion, four hundred eight million, eight hundred forty-one thousand, four hundred nine".

Divisors: 1 3 9 27 43 81 129 331 387 993 1161 1849 2979 3483 5547 8937 14233 16641 26811 42699 49923 109561 128097 149769 328683 384291 612019 986049 1152873 1836057 2958147 4711123 5508171 8874441 14133369 16524513 42400107 49573539 127200321 202578289 381600963 607734867 1823204601 5469613803 16408841409