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240002013133014 = 231123389619656603
BaseRepresentation
bin110110100100011111010010…
…101111001111100011010110
31011110202222010221121211012220
4312210133102233033203112
5222424143110330224024
62210235222554123210
7101360400422621646
oct6644372257174326
91143688127554186
10240002013133014
116a521311635010
1222b01bb8720506
13a3bc12894b5c2
14433a233616526
151cb300a8b4e79
hexda47d2bcf8d6

240002013133014 has 128 divisors (see below), whose sum is σ = 548698223923200. Its totient is φ = 69274767745920.

The previous prime is 240002013133007. The next prime is 240002013133061. The reversal of 240002013133014 is 410331310200042.

It is a happy number.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 365192437 + ... + 365849039.

It is an arithmetic number, because the mean of its divisors is an integer number (4286704874400).

Almost surely, 2240002013133014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 240002013133014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274349111961600).

240002013133014 is an abundant number, since it is smaller than the sum of its proper divisors (308696210790186).

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

240002013133014 is a wasteful number, since it uses less digits than its factorization.

240002013133014 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 657650.

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 240002013133014 its reverse (410331310200042), we get a palindrome (650333323333056).

The spelling of 240002013133014 in words is "two hundred forty trillion, two billion, thirteen million, one hundred thirty-three thousand, fourteen".

Divisors: 1 2 3 6 11 22 23 33 46 66 69 138 253 389 506 619 759 778 1167 1238 1518 1857 2334 3714 4279 6809 8558 8947 12837 13618 14237 17894 20427 25674 26841 28474 40854 42711 53682 85422 98417 156607 196834 240791 295251 313214 469821 481582 590502 656603 722373 939642 1313206 1444746 1969809 2648701 3939618 5297402 5538193 7222633 7946103 11076386 14445266 15101869 15892206 16614579 21667899 30203738 33229158 43335798 45305607 60920123 90611214 121840246 166120559 182760369 255418567 332241118 365520738 406437257 498361677 510837134 766255701 812874514 996723354 1219311771 1532511402 2438623542 2809604237 4470809827 5619208474 5874627041 8428812711 8941619654 9348056911 11749254082 13412429481 16857625422 17623881123 18696113822 26824858962 28044170733 35247762246 56088341466 64620897451 102828626021 129241794902 158104092973 193862692353 205657252042 308485878063 316208185946 387725384706 474312278919 616971756126 948624557838 1739145022703 3478290045406 3636394138379 5217435068109 7272788276758 10434870136218 10909182415137 21818364830274 40000335522169 80000671044338 120001006566507 240002013133014