Search a number
-
+
14033545320 = 23356111931607
BaseRepresentation
bin11010001000111011…
…01110100001101000
31100020000120222002210
431010131232201220
5212220041422240
610240311325120
71004523111204
oct150435564150
940200528083
1014033545320
115a51630343
1228779807a0
131428555792
14971b29b04
1557205c780
hex34476e868

14033545320 has 128 divisors (see below), whose sum is σ = 42853328640. Its totient is φ = 3675555840.

The previous prime is 14033545319. The next prime is 14033545321. The reversal of 14033545320 is 2354533041.

It is an interprime number because it is at equal distance from previous prime (14033545319) and next prime (14033545321).

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

It is not an unprimeable number, because it can be changed into a prime (14033545321) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8731957 + ... + 8733563.

It is an arithmetic number, because the mean of its divisors is an integer number (334791630).

Almost surely, 214033545320 is an apocalyptic number.

14033545320 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 14033545320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21426664320).

14033545320 is an abundant number, since it is smaller than the sum of its proper divisors (28819783320).

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

14033545320 is a wasteful number, since it uses less digits than its factorization.

14033545320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2875 (or 2871 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 30.

The spelling of 14033545320 in words is "fourteen billion, thirty-three million, five hundred forty-five thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 61 120 122 183 244 305 366 488 610 732 915 1193 1220 1464 1607 1830 2386 2440 3214 3579 3660 4772 4821 5965 6428 7158 7320 8035 9544 9642 11930 12856 14316 16070 17895 19284 23860 24105 28632 32140 35790 38568 47720 48210 64280 71580 72773 96420 98027 143160 145546 192840 196054 218319 291092 294081 363865 392108 436638 490135 582184 588162 727730 784216 873276 980270 1091595 1176324 1455460 1470405 1746552 1917151 1960540 2183190 2352648 2910920 2940810 3834302 3921080 4366380 5751453 5881620 7668604 8732760 9585755 11502906 11763240 15337208 19171510 23005812 28757265 38343020 46011624 57514530 76686040 115029060 116946211 230058120 233892422 350838633 467784844 584731055 701677266 935569688 1169462110 1403354532 1754193165 2338924220 2806709064 3508386330 4677848440 7016772660 14033545320