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14273082450 = 23252114367057
BaseRepresentation
bin11010100101011110…
…11111010001010010
31100211201022201021100
431102233133101102
5213212402114300
610320145405230
71013462125164
oct152257372122
940751281240
1014273082450
116064868110
122924039816
131466073a23
14995880934
155880c6700
hex352bdf452

14273082450 has 144 divisors (see below), whose sum is σ = 42806608416. Its totient is φ = 3379622400.

The previous prime is 14273082437. The next prime is 14273082517. The reversal of 14273082450 is 5428037241.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 179322 + ... + 246378.

It is an arithmetic number, because the mean of its divisors is an integer number (297268114).

Almost surely, 214273082450 is an apocalyptic number.

14273082450 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 14273082450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21403304208).

14273082450 is an abundant number, since it is smaller than the sum of its proper divisors (28533525966).

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

14273082450 is a wasteful number, since it uses less digits than its factorization.

14273082450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67129 (or 67121 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The spelling of 14273082450 in words is "fourteen billion, two hundred seventy-three million, eighty-two thousand, four hundred fifty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 25 30 33 43 45 50 55 66 75 86 90 99 110 129 150 165 198 215 225 258 275 330 387 430 450 473 495 550 645 774 825 946 990 1075 1290 1419 1650 1935 2150 2365 2475 2838 3225 3870 4257 4730 4950 6450 7095 8514 9675 11825 14190 19350 21285 23650 35475 42570 67057 70950 106425 134114 201171 212850 335285 402342 603513 670570 737627 1005855 1207026 1475254 1676425 2011710 2212881 2883451 3017565 3352850 3688135 4425762 5029275 5766902 6035130 6638643 7376270 8650353 10058550 11064405 13277286 14417255 15087825 17300706 18440675 22128810 25951059 28834510 30175650 31717961 33193215 36881350 43251765 51902118 55322025 63435922 66386430 72086275 86503530 95153883 110644050 129755295 144172550 158589805 165966075 190307766 216258825 259510590 285461649 317179610 331932150 432517650 475769415 570923298 648776475 792949025 951538830 1297552950 1427308245 1585898050 2378847075 2854616490 4757694150 7136541225 14273082450