Search a number
-
+
14770013130100 = 22521493972496917
BaseRepresentation
bin1101011011101110100101…
…1000101100110101110100
31221021222222121110212111001
43112323221120230311310
53413442441330130400
651225130024453044
73053045460100654
oct326735130546564
957258877425431
1014770013130100
114784a223a4178
1217a663b61a184
13831a63484a07
14390c30006364
151a930680ba6a
hexd6ee962cd74

14770013130100 has 72 divisors (see below), whose sum is σ = 32347322998200. Its totient is φ = 5853570117120.

The previous prime is 14770013130053. The next prime is 14770013130121. The reversal of 14770013130100 is 103131007741.

It can be written as a sum of positive squares in 12 ways, for example, as 8917223213584 + 5852789916516 = 2986172^2 + 2419254^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4666842 + ... + 7163758.

It is an arithmetic number, because the mean of its divisors is an integer number (449268374975).

Almost surely, 214770013130100 is an apocalyptic number.

14770013130100 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 14770013130100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16173661499100).

14770013130100 is an abundant number, since it is smaller than the sum of its proper divisors (17577309868100).

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

14770013130100 is a wasteful number, since it uses less digits than its factorization.

14770013130100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2497477 (or 2497470 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 28.

Adding to 14770013130100 its reverse (103131007741), we get a palindrome (14873144137841).

The spelling of 14770013130100 in words is "fourteen trillion, seven hundred seventy billion, thirteen million, one hundred thirty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 149 298 397 596 745 794 1490 1588 1985 2980 3725 3970 7450 7940 9925 14900 19850 39700 59153 118306 236612 295765 591530 1183060 1478825 2496917 2957650 4993834 5915300 9987668 12484585 24969170 49938340 62422925 124845850 249691700 372040633 744081266 991276049 1488162532 1860203165 1982552098 3720406330 3965104196 4956380245 7440812660 9301015825 9912760490 18602031650 19825520980 24781901225 37204063300 49563802450 99127604900 147700131301 295400262602 590800525204 738500656505 1477001313010 2954002626020 3692503282525 7385006565050 14770013130100