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14234750028900 = 22325215816388921
BaseRepresentation
bin1100111100100100100100…
…1110000000110001100100
31212101211101012112000022100
43033021021032000301210
53331210232001411100
650135204234532100
72666266242566142
oct317111116006144
955354335460270
1014234750028900
114598a18323935
12171a958b97030
137c343c7645ab
14372d7378a592
1519a429ec7400
hexcf249380c64

14234750028900 has 54 divisors (see below), whose sum is σ = 44618033148962. Its totient is φ = 3795933340800.

The previous prime is 14234750028883. The next prime is 14234750028907. The reversal of 14234750028900 is 982005743241.

14234750028900 is a `hidden beast` number, since 1 + 4 + 2 + 34 + 7 + 500 + 28 + 90 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 3608571341376 + 10626178687524 = 1899624^2 + 3259782^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (14234750028907) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 7908193561 + ... + 7908195360.

Almost surely, 214234750028900 is an apocalyptic number.

14234750028900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14234750028900 is an abundant number, since it is smaller than the sum of its proper divisors (30383283120062).

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

14234750028900 is a wasteful number, since it uses less digits than its factorization.

14234750028900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15816388941 (or 15816388931 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 14234750028900 in words is "fourteen trillion, two hundred thirty-four billion, seven hundred fifty million, twenty-eight thousand, nine hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 900 15816388921 31632777842 47449166763 63265555684 79081944605 94898333526 142347500289 158163889210 189796667052 237245833815 284695000578 316327778420 395409723025 474491667630 569390001156 711737501445 790819446050 948983335260 1186229169075 1423475002890 1581638892100 2372458338150 2846950005780 3558687507225 4744916676300 7117375014450 14234750028900