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14128450050 = 23521121359879
BaseRepresentation
bin11010010100001111…
…10000101000000010
31100110122011121220210
431022013300220002
5212413340400200
610253541414550
71010054562321
oct151207605002
940418147823
1014128450050
115aa0161700
1228a370a456
131442104020
149805920b8
1557a557650
hex34a1f0a02

14128450050 has 144 divisors (see below), whose sum is σ = 41476720320. Its totient is φ = 3161558400.

The previous prime is 14128450033. The next prime is 14128450067. The reversal of 14128450050 is 5005482141.

It is an interprime number because it is at equal distance from previous prime (14128450033) and next prime (14128450067).

It is a super-2 number, since 2×141284500502 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 206011 + ... + 265889.

It is an arithmetic number, because the mean of its divisors is an integer number (288032780).

Almost surely, 214128450050 is an apocalyptic number.

14128450050 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 14128450050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20738360160).

14128450050 is an abundant number, since it is smaller than the sum of its proper divisors (27348270270).

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

14128450050 is a wasteful number, since it uses less digits than its factorization.

14128450050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59929 (or 59913 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 30.

The spelling of 14128450050 in words is "fourteen billion, one hundred twenty-eight million, four hundred fifty thousand, fifty".

Divisors: 1 2 3 5 6 10 11 13 15 22 25 26 30 33 39 50 55 65 66 75 78 110 121 130 143 150 165 195 242 275 286 325 330 363 390 429 550 605 650 715 726 825 858 975 1210 1430 1573 1650 1815 1950 2145 3025 3146 3575 3630 4290 4719 6050 7150 7865 9075 9438 10725 15730 18150 21450 23595 39325 47190 59879 78650 117975 119758 179637 235950 299395 359274 598790 658669 778427 898185 1317338 1496975 1556854 1796370 1976007 2335281 2993950 3293345 3892135 3952014 4490925 4670562 6586690 7245359 7784270 8562697 8981850 9880035 11676405 14490718 16466725 17125394 19460675 19760070 21736077 23352810 25688091 32933450 36226795 38921350 42813485 43472154 49400175 51376182 58382025 72453590 85626970 94189667 98800350 108680385 116764050 128440455 181133975 188379334 214067425 217360770 256880910 282569001 362267950 428134850 470948335 543401925 565138002 642202275 941896670 1086803850 1284404550 1412845005 2354741675 2825690010 4709483350 7064225025 14128450050