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2414153125 = 553172437
BaseRepresentation
bin1000111111100101…
…0000110110100101
320020020122200111201
42033321100312211
514421010400000
61035315402501
7113552651206
oct21771206645
96206580451
102414153125
1110297a9a7a
125745b3431
132c6202997
1418c8a55ad
15e1e1e96a
hex8fe50da5

2414153125 has 24 divisors (see below), whose sum is σ = 3028259304. Its totient is φ = 1924440000.

The previous prime is 2414153123. The next prime is 2414153173. The reversal of 2414153125 is 5213514142.

It can be written as a sum of positive squares in 12 ways, for example, as 2411104609 + 3048516 = 49103^2 + 1746^2 .

It is not a de Polignac number, because 2414153125 - 21 = 2414153123 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2414153093 and 2414153102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2414153123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 989407 + ... + 991843.

It is an arithmetic number, because the mean of its divisors is an integer number (126177471).

Almost surely, 22414153125 is an apocalyptic number.

2414153125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2414153125 is a deficient number, since it is larger than the sum of its proper divisors (614106179).

2414153125 is an frugal number, since it uses more digits than its factorization.

2414153125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2779 (or 2759 counting only the distinct ones).

The product of its digits is 4800, while the sum is 28.

The square root of 2414153125 is about 49134.0322485342. The cubic root of 2414153125 is about 1341.4925681445.

Adding to 2414153125 its reverse (5213514142), we get a palindrome (7627667267).

The spelling of 2414153125 in words is "two billion, four hundred fourteen million, one hundred fifty-three thousand, one hundred twenty-five".

Divisors: 1 5 25 125 317 625 1585 2437 3125 7925 12185 39625 60925 198125 304625 772529 990625 1523125 3862645 7615625 19313225 96566125 482830625 2414153125