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14407344930 = 23511229190649
BaseRepresentation
bin11010110101011111…
…01010001100100010
31101012001221221202210
431122233222030202
5214001240014210
610341343222550
71020012261036
oct153257521442
941161857683
1014407344930
116123630540
122960ba7a56
131487b22694
149a96301c6
15594c97e20
hex35abea322

14407344930 has 64 divisors (see below), whose sum is σ = 37885968000. Its totient is φ = 3477419520.

The previous prime is 14407344929. The next prime is 14407344967. The reversal of 14407344930 is 3944370441.

It is a super-3 number, since 3×144073449303 (a number of 31 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19755 + ... + 170894.

It is an arithmetic number, because the mean of its divisors is an integer number (591968250).

Almost surely, 214407344930 is an apocalyptic number.

14407344930 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 14407344930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18942984000).

14407344930 is an abundant number, since it is smaller than the sum of its proper divisors (23478623070).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

14407344930 is a wasteful number, since it uses less digits than its factorization.

14407344930 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190899.

The product of its (nonzero) digits is 145152, while the sum is 39.

The spelling of 14407344930 in words is "fourteen billion, four hundred seven million, three hundred forty-four thousand, nine hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 165 229 330 458 687 1145 1374 2290 2519 3435 5038 6870 7557 12595 15114 25190 37785 75570 190649 381298 571947 953245 1143894 1906490 2097139 2859735 4194278 5719470 6291417 10485695 12582834 20971390 31457085 43658621 62914170 87317242 130975863 218293105 261951726 436586210 480244831 654879315 960489662 1309758630 1440734493 2401224155 2881468986 4802448310 7203672465 14407344930