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2141110540 = 2251511813917
BaseRepresentation
bin111111110011110…
…1100000100001100
312112012212200111101
41333213230010030
513341111014130
6552243232444
7104026065532
oct17747540414
95465780441
102141110540
119a9668048
124b9078724
1328178301a
1416450c152
15c7e881ca
hex7f9ec10c

2141110540 has 48 divisors (see below), whose sum is σ = 4552277184. Its totient is φ = 845856000.

The previous prime is 2141110493. The next prime is 2141110583. The reversal of 2141110540 is 450111412.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 544662 + ... + 548578.

It is an arithmetic number, because the mean of its divisors is an integer number (94839108).

Almost surely, 22141110540 is an apocalyptic number.

2141110540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2141110540 is an abundant number, since it is smaller than the sum of its proper divisors (2411166644).

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

2141110540 is a wasteful number, since it uses less digits than its factorization.

2141110540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4258 (or 4256 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 19.

The square root of 2141110540 is about 46272.1356758039. The cubic root of 2141110540 is about 1288.8816178687.

Adding to 2141110540 its reverse (450111412), we get a palindrome (2591221952).

The spelling of 2141110540 in words is "two billion, one hundred forty-one million, one hundred ten thousand, five hundred forty".

Divisors: 1 2 4 5 10 20 151 181 302 362 604 724 755 905 1510 1810 3020 3620 3917 7834 15668 19585 27331 39170 54662 78340 109324 136655 273310 546620 591467 708977 1182934 1417954 2365868 2835908 2957335 3544885 5914670 7089770 11829340 14179540 107055527 214111054 428222108 535277635 1070555270 2141110540