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2142412443 = 33372149389
BaseRepresentation
bin111111110110010…
…1001111010011011
312112022022211101000
41333230221322123
513341424144233
6552331200043
7104043130263
oct17754517233
95468284330
102142412443
119aa3771a6
124b95a6023
13281b1a792
1416476a7a3
15c8143d13
hex7fb29e9b

2142412443 has 48 divisors (see below), whose sum is σ = 3292380000. Its totient is φ = 1376797824.

The previous prime is 2142412417. The next prime is 2142412499. The reversal of 2142412443 is 3442142412.

2142412443 is a `hidden beast` number, since 214 + 2 + 4 + 1 + 2 + 443 = 666.

It is not a de Polignac number, because 2142412443 - 216 = 2142346907 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (2142402443) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5507293 + ... + 5507681.

It is an arithmetic number, because the mean of its divisors is an integer number (68591250).

Almost surely, 22142412443 is an apocalyptic number.

2142412443 is a deficient number, since it is larger than the sum of its proper divisors (1149967557).

2142412443 is a wasteful number, since it uses less digits than its factorization.

2142412443 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 621 (or 578 counting only the distinct ones).

The product of its digits is 6144, while the sum is 27.

The square root of 2142412443 is about 46286.2014319603. The cubic root of 2142412443 is about 1289.1427999088.

Adding to 2142412443 its reverse (3442142412), we get a palindrome (5584554855).

The spelling of 2142412443 in words is "two billion, one hundred forty-two million, four hundred twelve thousand, four hundred forty-three".

Divisors: 1 3 9 27 37 111 149 333 389 447 999 1167 1341 1369 3501 4023 4107 5513 10503 12321 14393 16539 36963 43179 49617 57961 129537 148851 173883 203981 388611 521649 532541 611943 1564947 1597623 1835829 2144557 4792869 5507487 6433671 14378607 19301013 57903039 79348609 238045827 714137481 2142412443