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2011143414 = 2372331239281
BaseRepresentation
bin111011111011111…
…1001110011110110
312012011022200010010
41313313321303312
513104323042124
6531321441050
7100560302610
oct16767716366
95164280103
102011143414
119422688a5
12481640186
132608794b7
14151159db0
15bb864529
hex77df9cf6

2011143414 has 128 divisors (see below), whose sum is σ = 4989911040. Its totient is φ = 527788800.

The previous prime is 2011143403. The next prime is 2011143419. The reversal of 2011143414 is 4143411102.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2011143419) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7156954 + ... + 7157234.

It is an arithmetic number, because the mean of its divisors is an integer number (38983680).

Almost surely, 22011143414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2011143414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2494955520).

2011143414 is an abundant number, since it is smaller than the sum of its proper divisors (2978767626).

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

2011143414 is a wasteful number, since it uses less digits than its factorization.

2011143414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 586.

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 2011143414 is about 44845.7736470227. The cubic root of 2011143414 is about 1262.2566877320.

Adding to 2011143414 its reverse (4143411102), we get a palindrome (6154554516).

The spelling of 2011143414 in words is "two billion, eleven million, one hundred forty-three thousand, four hundred fourteen".

Divisors: 1 2 3 6 7 14 21 23 31 42 46 62 69 93 138 161 186 217 239 281 322 434 478 483 562 651 713 717 843 966 1302 1426 1434 1673 1686 1967 2139 3346 3934 4278 4991 5019 5497 5901 6463 7409 8711 9982 10038 10994 11802 12926 14818 14973 16491 17422 19389 22227 26133 29946 32982 38479 38778 44454 45241 51863 52266 60977 67159 76958 90482 103726 115437 121954 134318 135723 155589 170407 182931 200353 201477 230874 271446 311178 340814 365862 400706 402954 470113 511221 601059 940226 1022442 1192849 1202118 1402471 1410339 1544657 2081929 2385698 2804942 2820678 3089314 3578547 4163858 4207413 4633971 6245787 7157094 8414826 9267942 10812599 12491574 14573503 21625198 29147006 32437797 43720509 47884367 64875594 87441018 95768734 143653101 287306202 335190569 670381138 1005571707 2011143414