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2141012240 = 24526762653
BaseRepresentation
bin111111110011101…
…0100000100010000
312112012200200122122
41333213110010100
513341044342430
6552241153412
7104025206123
oct17747240420
95465620578
102141012240
119a9600204
124b902b868
1328174a363
141644c43ba
15c7e68ee5
hex7f9d4110

2141012240 has 20 divisors (see below), whose sum is σ = 4977853644. Its totient is φ = 856404864.

The previous prime is 2141012231. The next prime is 2141012267. The reversal of 2141012240 is 422101412.

It can be written as a sum of positive squares in 2 ways, for example, as 1497070864 + 643941376 = 38692^2 + 25376^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 13381247 + ... + 13381406.

Almost surely, 22141012240 is an apocalyptic number.

2141012240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2141012240 is an abundant number, since it is smaller than the sum of its proper divisors (2836841404).

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

2141012240 is a wasteful number, since it uses less digits than its factorization.

2141012240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26762666 (or 26762660 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

The square root of 2141012240 is about 46271.0734692853. The cubic root of 2141012240 is about 1288.8618930577.

Adding to 2141012240 its reverse (422101412), we get a palindrome (2563113652).

The spelling of 2141012240 in words is "two billion, one hundred forty-one million, twelve thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 26762653 53525306 107050612 133813265 214101224 267626530 428202448 535253060 1070506120 2141012240