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14127109152 = 2531359191861
BaseRepresentation
bin11010010100000101…
…01001010000100000
31100110112122111112220
431022002221100200
5212413014443102
610253452551040
71010040306102
oct151202512040
940415574486
1014127109152
115a9a426222
1228a3182480
131441a548b0
14980323572
1557a3901bc
hex34a0a9420

14127109152 has 96 divisors (see below), whose sum is σ = 40613348160. Its totient is φ = 4273105920.

The previous prime is 14127109141. The next prime is 14127109153. The reversal of 14127109152 is 25190172141.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (14127109153) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22299 + ... + 169562.

It is an arithmetic number, because the mean of its divisors is an integer number (423055710).

Almost surely, 214127109152 is an apocalyptic number.

14127109152 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 14127109152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20306674080).

14127109152 is an abundant number, since it is smaller than the sum of its proper divisors (26486239008).

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

14127109152 is a wasteful number, since it uses less digits than its factorization.

14127109152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191946 (or 191938 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 33.

The spelling of 14127109152 in words is "fourteen billion, one hundred twenty-seven million, one hundred nine thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 59 78 96 104 118 156 177 208 236 312 354 416 472 624 708 767 944 1248 1416 1534 1888 2301 2832 3068 4602 5664 6136 9204 12272 18408 24544 36816 73632 191861 383722 575583 767444 1151166 1534888 2302332 2494193 3069776 4604664 4988386 6139552 7482579 9209328 9976772 11319799 14965158 18418656 19953544 22639598 29930316 33959397 39907088 45279196 59860632 67918794 79814176 90558392 119721264 135837588 147157387 181116784 239442528 271675176 294314774 362233568 441472161 543350352 588629548 882944322 1086700704 1177259096 1765888644 2354518192 3531777288 4709036384 7063554576 14127109152