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2141414034 = 2323197227347
BaseRepresentation
bin111111110100011…
…0110001010010010
312112020110002210220
41333220312022102
513341200222114
6552253533510
7104031501414
oct17750661222
95466402726
102141414034
119a9855071
124b91a4296
1328185b1c6
1416458a9b4
15c7ee80a9
hex7fa36292

2141414034 has 64 divisors (see below), whose sum is σ = 4524512256. Its totient is φ = 674362304.

The previous prime is 2141414029. The next prime is 2141414039. The reversal of 2141414034 is 4304141412.

It is an interprime number because it is at equal distance from previous prime (2141414029) and next prime (2141414039).

It is a junction number, because it is equal to n+sod(n) for n = 2141413995 and 2141414013.

It is not an unprimeable number, because it can be changed into a prime (2141414039) 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 31 ways as a sum of consecutive naturals, for example, 6171049 + ... + 6171395.

It is an arithmetic number, because the mean of its divisors is an integer number (70695504).

Almost surely, 22141414034 is an apocalyptic number.

2141414034 is an abundant number, since it is smaller than the sum of its proper divisors (2383098222).

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

2141414034 is a wasteful number, since it uses less digits than its factorization.

2141414034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 799.

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 2141414034 is about 46275.4150062428. The cubic root of 2141414034 is about 1288.9425129586.

Adding to 2141414034 its reverse (4304141412), we get a palindrome (6445555446).

The spelling of 2141414034 in words is "two billion, one hundred forty-one million, four hundred fourteen thousand, thirty-four".

Divisors: 1 2 3 6 23 46 69 138 197 227 347 394 454 591 681 694 1041 1182 1362 2082 4531 5221 7981 9062 10442 13593 15663 15962 23943 27186 31326 44719 47886 68359 78769 89438 134157 136718 157538 205077 236307 268314 410154 472614 1028537 1572257 1811687 2057074 3085611 3144514 3623374 4716771 5435061 6171222 9433542 10870122 15517493 31034986 46552479 93104958 356902339 713804678 1070707017 2141414034