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14250308480 = 275178091619
BaseRepresentation
bin11010100010110001…
…00111001110000000
31100210010110200020222
431101120213032000
5213141034332410
610314013322212
71013064423602
oct152130471600
940703420228
1014250308480
116052a22751
122918496368
13146142bac5
14992833172
155860c8955
hex351627380

14250308480 has 128 divisors (see below), whose sum is σ = 36137988000. Its totient is φ = 5354881024.

The previous prime is 14250308473. The next prime is 14250308483. The reversal of 14250308480 is 8480305241.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 14250308480.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14250308483) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8801111 + ... + 8802729.

Almost surely, 214250308480 is an apocalyptic number.

14250308480 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 14250308480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18068994000).

14250308480 is an abundant number, since it is smaller than the sum of its proper divisors (21887679520).

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

14250308480 is a wasteful number, since it uses less digits than its factorization.

14250308480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2464 (or 2452 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 35.

The spelling of 14250308480 in words is "fourteen billion, two hundred fifty million, three hundred eight thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 64 68 80 85 128 136 160 170 272 320 340 544 640 680 809 1088 1360 1618 1619 2176 2720 3236 3238 4045 5440 6472 6476 8090 8095 10880 12944 12952 13753 16180 16190 25888 25904 27506 27523 32360 32380 51776 51808 55012 55046 64720 64760 68765 103552 103616 110024 110092 129440 129520 137530 137615 207232 220048 220184 258880 259040 275060 275230 440096 440368 517760 518080 550120 550460 880192 880736 1036160 1100240 1100920 1309771 1760384 1761472 2200480 2201840 2619542 3522944 4400960 4403680 5239084 6548855 8801920 8807360 10478168 13097710 17614720 20956336 22266107 26195420 41912672 44532214 52390840 83825344 89064428 104781680 111330535 167650688 178128856 209563360 222661070 356257712 419126720 445322140 712515424 838253440 890644280 1425030848 1781288560 2850061696 3562577120 7125154240 14250308480