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14457020500 = 2253132315519
BaseRepresentation
bin11010111011011010…
…01010000001010100
31101022112102201211201
431131231022001110
5214101444124000
610350320042244
71021154434546
oct153555120124
941275381751
1014457020500
11614967a52a
122975763384
1314951c6200
149b2081696
1559930b96a
hex35db4a054

14457020500 has 144 divisors (see below), whose sum is σ = 35299031040. Its totient is φ = 5164848000.

The previous prime is 14457020477. The next prime is 14457020503. The reversal of 14457020500 is 502075441.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14457020503) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2616741 + ... + 2622259.

It is an arithmetic number, because the mean of its divisors is an integer number (245132160).

Almost surely, 214457020500 is an apocalyptic number.

14457020500 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 14457020500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17649515520).

14457020500 is an abundant number, since it is smaller than the sum of its proper divisors (20842010540).

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

14457020500 is a wasteful number, since it uses less digits than its factorization.

14457020500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5595 (or 5570 counting only the distinct ones).

The product of its (nonzero) digits is 5600, while the sum is 28.

Adding to 14457020500 its reverse (502075441), we get a palindrome (14959095941).

The spelling of 14457020500 in words is "fourteen billion, four hundred fifty-seven million, twenty thousand, five hundred".

Divisors: 1 2 4 5 10 13 20 25 26 31 50 52 62 65 100 124 125 130 155 169 250 260 310 325 338 403 500 620 650 676 775 806 845 1300 1550 1612 1625 1690 2015 3100 3250 3380 3875 4030 4225 5239 5519 6500 7750 8060 8450 10075 10478 11038 15500 16900 20150 20956 21125 22076 26195 27595 40300 42250 50375 52390 55190 71747 84500 100750 104780 110380 130975 137975 143494 171089 201500 261950 275950 286988 342178 358735 523900 551900 654875 684356 689875 717470 855445 932711 1309750 1379750 1434940 1710890 1793675 1865422 2224157 2619500 2759500 3421780 3587350 3730844 4277225 4448314 4663555 7174700 8554450 8896628 8968375 9327110 11120785 17108900 17936750 18654220 21386125 22241570 23317775 28914041 35873500 42772250 44483140 46635550 55603925 57828082 85544500 93271100 111207850 115656164 116588875 144570205 222415700 233177750 278019625 289140410 466355500 556039250 578280820 722851025 1112078500 1445702050 2891404100 3614255125 7228510250 14457020500