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14154445000 = 235431531723
BaseRepresentation
bin11010010111010101…
…11011000011001000
31100112110002022021201
431023222323003020
5212442014220000
610300310513544
71010521540333
oct151352730310
940473068251
1014154445000
1160038a7033
1228b03658b4
131447606057
14983bdb61a
1557c98e96a
hex34babb0c8

14154445000 has 160 divisors (see below), whose sum is σ = 34899828480. Its totient is φ = 5372640000.

The previous prime is 14154444959. The next prime is 14154445007. The reversal of 14154445000 is 54445141.

14154445000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 14154445000.

It is not an unprimeable number, because it can be changed into a prime (14154445007) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 8214139 + ... + 8215861.

It is an arithmetic number, because the mean of its divisors is an integer number (218123928).

Almost surely, 214154445000 is an apocalyptic number.

14154445000 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 14154445000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17449914240).

14154445000 is an abundant number, since it is smaller than the sum of its proper divisors (20745383480).

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

14154445000 is a wasteful number, since it uses less digits than its factorization.

14154445000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1833 (or 1814 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 28.

The spelling of 14154445000 in words is "fourteen billion, one hundred fifty-four million, four hundred forty-five thousand".

Divisors: 1 2 4 5 8 10 20 25 31 40 50 53 62 100 106 124 125 155 200 212 248 250 265 310 424 500 530 620 625 775 1000 1060 1240 1250 1325 1550 1643 1723 2120 2500 2650 3100 3286 3446 3875 5000 5300 6200 6572 6625 6892 7750 8215 8615 10600 13144 13250 13784 15500 16430 17230 19375 26500 31000 32860 33125 34460 38750 41075 43075 53000 53413 65720 66250 68920 77500 82150 86150 91319 106826 132500 155000 164300 172300 182638 205375 213652 215375 265000 267065 328600 344600 365276 410750 427304 430750 456595 534130 730552 821500 861500 913190 1026875 1068260 1076875 1335325 1643000 1723000 1826380 2053750 2136520 2153750 2282975 2670650 2830889 3652760 4107500 4307500 4565950 5341300 5661778 6676625 8215000 8615000 9131900 10682600 11323556 11414875 13353250 14154445 18263800 22647112 22829750 26706500 28308890 33383125 45659500 53413000 56617780 57074375 66766250 70772225 91319000 113235560 114148750 133532500 141544450 228297500 267065000 283088900 353861125 456595000 566177800 707722250 1415444500 1769305625 2830889000 3538611250 7077222500 14154445000