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336240046214130 = 235174139434078201
BaseRepresentation
bin100110001110011101111110…
…0100000111000101111110010
31122002112020022221111001002210
41030130323330200320233302
5323032424103312323010
63151042313401552550
7130552353536634402
oct11434737440705762
91562466287431083
10336240046214130
119815566a367563
12318656a71a5756
13115803b9a066c6
145d06168450802
1528d1596609b20
hex131cefc838bf2

336240046214130 has 128 divisors (see below), whose sum is σ = 875507622345216. Its totient is φ = 82310473728000.

The previous prime is 336240046214099. The next prime is 336240046214159. The reversal of 336240046214130 is 31412640042633.

It is a super-2 number, since 2×3362400462141302 (a number of 30 digits) contains 22 as substring.

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, 80409030 + ... + 84487230.

It is an arithmetic number, because the mean of its divisors is an integer number (6839903299572).

Almost surely, 2336240046214130 is an apocalyptic number.

336240046214130 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 336240046214130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (437753811172608).

336240046214130 is an abundant number, since it is smaller than the sum of its proper divisors (539267576131086).

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

336240046214130 is a wasteful number, since it uses less digits than its factorization.

336240046214130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4082212.

The product of its (nonzero) digits is 248832, while the sum is 39.

Adding to 336240046214130 its reverse (31412640042633), we get a palindrome (367652686256763).

The spelling of 336240046214130 in words is "three hundred thirty-six trillion, two hundred forty billion, forty-six million, two hundred fourteen thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 15 17 30 34 41 51 82 85 102 123 170 205 246 255 410 510 615 697 1230 1394 2091 3485 3943 4182 6970 7886 10455 11829 19715 20910 23658 39430 59145 67031 118290 134062 161663 201093 323326 335155 402186 484989 670310 808315 969978 1005465 1616630 2010930 2424945 2748271 4078201 4849890 5496542 8156402 8244813 12234603 13741355 16489626 20391005 24469206 27482710 40782010 41224065 61173015 69329417 82448130 122346030 138658834 167206241 207988251 334412482 346647085 415976502 501618723 693294170 836031205 1003237446 1039941255 1672062410 2079882510 2508093615 2842506097 5016187230 5685012194 8527518291 14212530485 16080346543 17055036582 28425060970 32160693086 42637591455 48241039629 80401732715 85275182910 96482079258 160803465430 241205198145 273365891231 482410396290 546731782462 659294208263 820097673693 1318588416526 1366829456155 1640195347386 1977882624789 2733658912310 3296471041315 3955765249578 4100488368465 6592942082630 8200976736930 9889413123945 11208001540471 19778826247890 22416003080942 33624004621413 56040007702355 67248009242826 112080015404710 168120023107065 336240046214130