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114005214246 = 237111914938699
BaseRepresentation
bin110101000101100111…
…1011000010000100110
3101220021012220221102110
41222023033120100212
53331440313323441
6124212343221450
711144104221630
oct1521317302046
9356235827373
10114005214246
1144392a75930
121a118147886
13a99b225a71
1457370d3a50
152e73a4cb16
hex1a8b3d8426

114005214246 has 128 divisors (see below), whose sum is σ = 299469312000. Its totient is φ = 28031218560.

The previous prime is 114005214233. The next prime is 114005214247. The reversal of 114005214246 is 642412500411.

It is a super-2 number, since 2×1140052142462 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114005214247) 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 63 ways as a sum of consecutive naturals, for example, 13101205 + ... + 13109903.

It is an arithmetic number, because the mean of its divisors is an integer number (2339604000).

Almost surely, 2114005214246 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114005214246, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149734656000).

114005214246 is an abundant number, since it is smaller than the sum of its proper divisors (185464097754).

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

114005214246 is a wasteful number, since it uses less digits than its factorization.

114005214246 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10234.

The product of its (nonzero) digits is 7680, while the sum is 30.

Adding to 114005214246 its reverse (642412500411), we get a palindrome (756417714657).

The spelling of 114005214246 in words is "one hundred fourteen billion, five million, two hundred fourteen thousand, two hundred forty-six".

Divisors: 1 2 3 6 7 11 14 19 21 22 33 38 42 57 66 77 114 133 154 209 231 266 399 418 462 627 798 1254 1463 1493 2926 2986 4389 4479 8699 8778 8958 10451 16423 17398 20902 26097 28367 31353 32846 49269 52194 56734 60893 62706 85101 95689 98538 114961 121786 165281 170202 182679 191378 198569 229922 287067 312037 330562 344883 365358 397138 495843 574134 595707 624074 669823 689766 936111 991686 1156967 1191414 1339646 1818091 1872222 2009469 2184259 2313934 3470901 3636182 4018938 4368518 5454273 6552777 6941802 10908546 12726637 12987607 13105554 25453274 25975214 38179911 38962821 76359822 77925642 90913249 142863677 181826498 246764533 272739747 285727354 428591031 493529066 545479494 740293599 857182062 1000045739 1480587198 1727351731 2000091478 2714409863 3000137217 3454703462 5182055193 5428819726 6000274434 8143229589 10364110386 16286459178 19000869041 38001738082 57002607123 114005214246