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9130440319 = 71113139211311
BaseRepresentation
bin10001000000011011…
…10111011001111111
3212120022112102111021
420200031313121333
5122144343042234
64110001005011
7442155314350
oct104015673177
925508472437
109130440319
113965993a50
121929923767
13b267c1310
1462888bd27
153868959b4
hex22037767f

9130440319 has 64 divisors (see below), whose sum is σ = 12445655040. Its totient is φ = 6468336000.

The previous prime is 9130440307. The next prime is 9130440349.

9130440319 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 9130440319 - 213 = 9130432127 is a prime.

It is a super-2 number, since 2×91304403192 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9130440349) 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 63 ways as a sum of consecutive naturals, for example, 29358174 + ... + 29358484.

It is an arithmetic number, because the mean of its divisors is an integer number (194463360).

Almost surely, 29130440319 is an apocalyptic number.

9130440319 is a deficient number, since it is larger than the sum of its proper divisors (3315214721).

9130440319 is a wasteful number, since it uses less digits than its factorization.

9130440319 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 692.

The product of its (nonzero) digits is 11664, while the sum is 34.

The square root of 9130440319 is about 95553.3375607571. The cubic root of 9130440319 is about 2090.0848022336.

The spelling of 9130440319 in words is "nine billion, one hundred thirty million, four hundred forty thousand, three hundred nineteen".

Divisors: 1 7 11 13 77 91 139 143 211 311 973 1001 1477 1529 1807 2177 2321 2743 3421 4043 10703 12649 16247 19201 19877 23947 28301 29329 30173 43229 44473 65621 139139 205303 211211 302603 311311 322619 381277 459347 475519 561977 721831 853073 2258333 2668939 3328633 3933839 4194047 5052817 5971511 6181747 9121319 9383803 29358329 43272229 63849233 65686621 100334509 118577147 702341563 830040029 1304348617 9130440319