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14045840952 = 23311134395177
BaseRepresentation
bin11010001010011001…
…01000011000111000
31100020212201122112120
431011030220120320
5212231213402302
610241431041240
71005032451423
oct150514503070
940225648476
1014045840952
115a58569220
12287bb10220
13142ac6c1c0
1497360a9ba
1557318a9bc
hex345328638

14045840952 has 128 divisors (see below), whose sum is σ = 42213346560. Its totient is φ = 3837496320.

The previous prime is 14045840903. The next prime is 14045840957. The reversal of 14045840952 is 25904854041.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14045840957) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 99988 + ... + 195164.

It is an arithmetic number, because the mean of its divisors is an integer number (329791770).

Almost surely, 214045840952 is an apocalyptic number.

14045840952 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14045840952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21106673280).

14045840952 is an abundant number, since it is smaller than the sum of its proper divisors (28167505608).

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

14045840952 is a wasteful number, since it uses less digits than its factorization.

14045840952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95253 (or 95249 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 42.

The spelling of 14045840952 in words is "fourteen billion, forty-five million, eight hundred forty thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 11 12 13 22 24 26 33 39 43 44 52 66 78 86 88 104 129 132 143 156 172 258 264 286 312 344 429 473 516 559 572 858 946 1032 1118 1144 1419 1677 1716 1892 2236 2838 3354 3432 3784 4472 5676 6149 6708 11352 12298 13416 18447 24596 36894 49192 73788 95177 147576 190354 285531 380708 571062 761416 1046947 1142124 1237301 2093894 2284248 2474602 3140841 3711903 4092611 4187788 4949204 6281682 7423806 8185222 8375576 9898408 12277833 12563364 13610311 14847612 16370444 24555666 25126728 27220622 29695224 32740888 40830933 45018721 49111332 53203943 54441244 81661866 90037442 98222664 106407886 108882488 135056163 159611829 163323732 180074884 212815772 270112326 319223658 326647464 360149768 425631544 540224652 585243373 638447316 1080449304 1170486746 1276894632 1755730119 2340973492 3511460238 4681946984 7022920476 14045840952