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1304434214199 = 324117323938539
BaseRepresentation
bin10010111110110110010…
…101101000010100110111
311121200222021002212120200
4102332312111220110313
5132332440124323244
62435125424131543
7163146044606514
oct22766625502467
94550867085520
101304434214199
1146323111aa26
12190984466bb3
139601397961c
14471c644c30b
1523de836b669
hex12fb6568537

1304434214199 has 48 divisors (see below), whose sum is σ = 1942333979040. Its totient is φ = 843057146880.

The previous prime is 1304434214179. The next prime is 1304434214201. The reversal of 1304434214199 is 9914124344031.

1304434214199 is a `hidden beast` number, since 1 + 3 + 0 + 4 + 434 + 21 + 4 + 199 = 666.

It is not a de Polignac number, because 1304434214199 - 236 = 1235714737463 is a prime.

It is a super-2 number, since 2×13044342141992 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1304434214179) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 152757672 + ... + 152766210.

It is an arithmetic number, because the mean of its divisors is an integer number (40465291230).

Almost surely, 21304434214199 is an apocalyptic number.

1304434214199 is a deficient number, since it is larger than the sum of its proper divisors (637899764841).

1304434214199 is a wasteful number, since it uses less digits than its factorization.

1304434214199 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11152 (or 11149 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 1304434214199 in words is "one trillion, three hundred four billion, four hundred thirty-four million, two hundred fourteen thousand, one hundred ninety-nine".

Divisors: 1 3 9 41 123 173 369 519 1557 2393 7093 7179 8539 21279 21537 25617 63837 76851 98113 294339 350099 413989 883017 1050297 1241967 1477247 3150891 3725901 4431741 13295223 16973549 20433827 50920647 60567127 61301481 152761941 181701381 183904443 545104143 837786907 2513360721 3535052071 7540082163 10605156213 31815468639 144937134911 434811404733 1304434214199