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2141441412 = 2231116223041
BaseRepresentation
bin111111110100011…
…1100110110000100
312112020111111100220
41333220330312010
513341202111122
6552254304340
7104031644265
oct17750746604
95466444326
102141441412
119a98736a0
124b91b80b0
1328186a7c6
1416459696c
15c800125c
hex7fa3cd84

2141441412 has 24 divisors (see below), whose sum is σ = 5450942112. Its totient is φ = 648921600.

The previous prime is 2141441369. The next prime is 2141441429.

2141441412 is nontrivially palindromic in base 10.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8111389 + ... + 8111652.

It is an arithmetic number, because the mean of its divisors is an integer number (227122588).

Almost surely, 22141441412 is an apocalyptic number.

2141441412 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2141441412 is an abundant number, since it is smaller than the sum of its proper divisors (3309500700).

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

2141441412 is a wasteful number, since it uses less digits than its factorization.

2141441412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16223059 (or 16223057 counting only the distinct ones).

The product of its digits is 1024, while the sum is 24.

The square root of 2141441412 is about 46275.7108211208. The cubic root of 2141441412 is about 1288.9480059829.

It can be divided in two parts, 21414 and 41412, that added together give a palindrome (62826).

The spelling of 2141441412 in words is "two billion, one hundred forty-one million, four hundred forty-one thousand, four hundred twelve".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 16223041 32446082 48669123 64892164 97338246 178453451 194676492 356906902 535360353 713813804 1070720706 2141441412