Search a number
-
+
114530331433254 = 231123343331375483
BaseRepresentation
bin11010000010101000101011…
…101110001001100100100110
3120000111222210201101122121120
4122002220223232021210212
5110002431104321331004
61043330301412554410
733060354244366032
oct3202505356114446
9500458721348546
10114530331433254
113354704a326a70
1210a188b4322a06
134bba219164ca9
14203d4249451c2
15d392e40973d9
hex682a2bb89926

114530331433254 has 128 divisors (see below), whose sum is σ = 251662475570688. Its totient is φ = 34460122152960.

The previous prime is 114530331433253. The next prime is 114530331433261. The reversal of 114530331433254 is 452334133035411.

It is a super-2 number, since 2×1145303314332542 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114530331433253) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20888257597 + ... + 20888263079.

It is an arithmetic number, because the mean of its divisors is an integer number (1966113090396).

Almost surely, 2114530331433254 is an apocalyptic number.

114530331433254 is an abundant number, since it is smaller than the sum of its proper divisors (137132144137434).

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

114530331433254 is a wasteful number, since it uses less digits than its factorization.

114530331433254 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9302.

The product of its (nonzero) digits is 777600, while the sum is 42.

Adding to 114530331433254 its reverse (452334133035411), we get a palindrome (566864464468665).

The spelling of 114530331433254 in words is "one hundred fourteen trillion, five hundred thirty billion, three hundred thirty-one million, four hundred thirty-three thousand, two hundred fifty-four".

Divisors: 1 2 3 6 11 22 33 66 233 433 466 699 866 1299 1398 2563 2598 3137 4763 5126 5483 6274 7689 9411 9526 10966 14289 15378 16449 18822 28578 32898 34507 60313 69014 100889 103521 120626 180939 201778 207042 302667 361878 605334 730921 1109779 1277539 1358321 1461842 2192763 2219558 2374139 2555078 2716642 3329337 3832617 4074963 4385526 4748278 6658674 7122417 7665234 8040131 8149926 14052929 14244834 14941531 16080262 17200171 24120393 26115529 28105858 29883062 34400342 42158787 44824593 48240786 51600513 52231058 78346587 84317574 89649186 103201026 156693174 189201881 316488793 378403762 553174387 567605643 632977586 949466379 1106348774 1135211286 1659523161 1898932758 3319046322 3481376723 4007639843 6084918257 6962753446 7447674043 8015279686 10444130169 12022919529 12169836514 14895348086 18254754771 20888260338 22343022129 24045839058 36509509542 44084038273 44686044258 81924414473 88168076546 132252114819 163848828946 245773243419 264504229638 491546486838 1735308052019 3470616104038 5205924156057 10411848312114 19088388572209 38176777144418 57265165716627 114530331433254