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14130452040 = 23352312314159
BaseRepresentation
bin11010010100011110…
…11001011001001000
31100110202221100010120
431022033121121020
5212414343431130
610254052343240
71010110601115
oct151217313110
940422840116
1014130452040
115aa12a9841
1228a4314b20
131442655333
1498095390c
1557a800910
hex34a3d9648

14130452040 has 128 divisors (see below), whose sum is σ = 44281036800. Its totient is φ = 3600495360.

The previous prime is 14130451991. The next prime is 14130452041. The reversal of 14130452040 is 4025403141.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 14130452040.

It is not an unprimeable number, because it can be changed into a prime (14130452041) 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, 3395481 + ... + 3399639.

It is an arithmetic number, because the mean of its divisors is an integer number (345945600).

Almost surely, 214130452040 is an apocalyptic number.

14130452040 is a gapful number since it is divisible by the number (10) 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 14130452040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22140518400).

14130452040 is an abundant number, since it is smaller than the sum of its proper divisors (30150584760).

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

14130452040 is a wasteful number, since it uses less digits than its factorization.

14130452040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5427 (or 5423 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

Adding to 14130452040 its reverse (4025403141), we get a palindrome (18155855181).

The spelling of 14130452040 in words is "fourteen billion, one hundred thirty million, four hundred fifty-two thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 23 24 30 40 46 60 69 92 115 120 138 184 230 276 345 460 552 690 920 1231 1380 2462 2760 3693 4159 4924 6155 7386 8318 9848 12310 12477 14772 16636 18465 20795 24620 24954 28313 29544 33272 36930 41590 49240 49908 56626 62385 73860 83180 84939 95657 99816 113252 124770 141565 147720 166360 169878 191314 226504 249540 283130 286971 339756 382628 424695 478285 499080 566260 573942 679512 765256 849390 956570 1132520 1147884 1434855 1698780 1913140 2295768 2869710 3397560 3826280 5119729 5739420 10239458 11478840 15359187 20478916 25598645 30718374 40957832 51197290 61436748 76795935 102394580 117753767 122873496 153591870 204789160 235507534 307183740 353261301 471015068 588768835 614367480 706522602 942030136 1177537670 1413045204 1766306505 2355075340 2826090408 3532613010 4710150680 7065226020 14130452040