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14042052648 = 23331329172439
BaseRepresentation
bin11010001001111100…
…01011100000101000
31100020121121011222000
431010332023200220
5212224231141043
610241213531000
71004655323001
oct150476134050
940217534860
1014042052648
115a56410a98
12287a7a3a60
13142a243ac0
14972d021a8
15572b8d2d3
hex344f8b828

14042052648 has 128 divisors (see below), whose sum is σ = 43454880000. Its totient is φ = 4171620096.

The previous prime is 14042052643. The next prime is 14042052679. The reversal of 14042052648 is 84625024041.

14042052648 is a `hidden beast` number, since 1 + 4 + 0 + 4 + 2 + 0 + 5 + 2 + 648 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (14042052641) 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, 4788 + ... + 167651.

It is an arithmetic number, because the mean of its divisors is an integer number (339491250).

Almost surely, 214042052648 is an apocalyptic number.

14042052648 is a gapful number since it is divisible by the number (18) 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 14042052648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21727440000).

14042052648 is an abundant number, since it is smaller than the sum of its proper divisors (29412827352).

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

14042052648 is a wasteful number, since it uses less digits than its factorization.

14042052648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172496 (or 172486 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

Adding to 14042052648 its reverse (84625024041), we get a palindrome (98667076689).

The spelling of 14042052648 in words is "fourteen billion, forty-two million, fifty-two thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 29 36 39 52 54 58 72 78 87 104 108 116 117 156 174 216 232 234 261 312 348 351 377 468 522 696 702 754 783 936 1044 1131 1404 1508 1566 2088 2262 2808 3016 3132 3393 4524 6264 6786 9048 10179 13572 20358 27144 40716 81432 172439 344878 517317 689756 1034634 1379512 1551951 2069268 2241707 3103902 4138536 4483414 4655853 5000731 6207804 6725121 8966828 9311706 10001462 12415608 13450242 15002193 17933656 18623412 20002924 20175363 26900484 30004386 37246824 40005848 40350726 45006579 53800968 60008772 60526089 65009503 80701452 90013158 120017544 121052178 130019006 135019737 161402904 180026316 195028509 242104356 260038012 270039474 360052632 390057018 484208712 520076024 540078948 585085527 780114036 1080157896 1170171054 1560228072 1755256581 2340342108 3510513162 4680684216 7021026324 14042052648