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14233053140 = 22517192611901
BaseRepresentation
bin11010100000101101…
…10010011111010100
31100201221000000101022
431100112302133110
5213122130200030
610312155420312
71012464645515
oct152026623724
940657000338
1014233053140
116044207539
122912754698
13145a999a47
14990420a0c
1558481ade5
hex3505b27d4

14233053140 has 144 divisors (see below), whose sum is σ = 33966357264. Its totient is φ = 4990464000.

The previous prime is 14233053119. The next prime is 14233053161. The reversal of 14233053140 is 4135033241.

14233053140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (14233053119) and next prime (14233053161).

It can be written as a sum of positive squares in 8 ways, for example, as 2936339344 + 11296713796 = 54188^2 + 106286^2 .

It is a super-3 number, since 3×142330531403 (a number of 31 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7486190 + ... + 7488090.

It is an arithmetic number, because the mean of its divisors is an integer number (235877481).

Almost surely, 214233053140 is an apocalyptic number.

14233053140 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 14233053140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16983178632).

14233053140 is an abundant number, since it is smaller than the sum of its proper divisors (19733304124).

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

14233053140 is a wasteful number, since it uses less digits than its factorization.

14233053140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2026 (or 2005 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 26.

Adding to 14233053140 its reverse (4135033241), we get a palindrome (18368086381).

The spelling of 14233053140 in words is "fourteen billion, two hundred thirty-three million, fifty-three thousand, one hundred forty".

Divisors: 1 2 4 5 10 17 19 20 34 38 61 68 76 85 95 122 170 190 244 305 323 340 361 380 610 646 722 1037 1159 1220 1292 1444 1615 1805 1901 2074 2318 3230 3610 3802 4148 4636 5185 5795 6137 6460 7220 7604 9505 10370 11590 12274 19010 19703 20740 22021 23180 24548 30685 32317 36119 38020 39406 44042 61370 64634 72238 78812 88084 98515 110105 115961 122740 129268 144476 161585 180595 197030 220210 231922 323170 361190 374357 394060 440420 463844 579805 614023 646340 686261 722380 748714 1159610 1228046 1372522 1497428 1871785 1971337 2203259 2319220 2456092 2745044 3070115 3431305 3743570 3942674 4406518 6140230 6862610 7487140 7885348 8813036 9856685 11016295 11666437 12280460 13725220 19713370 22032590 23332874 37455403 39426740 41861921 44065180 46665748 58332185 74910806 83723842 116664370 149821612 167447684 187277015 209309605 233328740 374554030 418619210 711652657 749108060 837238420 1423305314 2846610628 3558263285 7116526570 14233053140