Search a number
-
+
240330130004514 = 231112739772222091
BaseRepresentation
bin110110101001010000111000…
…000001110001101000100010
31011111221100001222101220200010
4312221100320001301220202
5223000032101240121024
62211050045413305350
7101423164443202524
oct6651207001615042
91144840058356603
10240330130004514
116a638487aa2aa0
1222b5570a335256
13a414059967b84
14434c07ca4ba14
151cbb8116c3b29
hexda9438071a22

240330130004514 has 64 divisors (see below), whose sum is σ = 529816644698112. Its totient is φ = 72071868052800.

The previous prime is 240330130004483. The next prime is 240330130004593. The reversal of 240330130004514 is 415400031033042.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32783392 + ... + 39438699.

It is an arithmetic number, because the mean of its divisors is an integer number (8278385073408).

Almost surely, 2240330130004514 is an apocalyptic number.

240330130004514 is an abundant number, since it is smaller than the sum of its proper divisors (289486514693598).

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

240330130004514 is a wasteful number, since it uses less digits than its factorization.

240330130004514 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72222631.

The product of its (nonzero) digits is 17280, while the sum is 30.

Adding to 240330130004514 its reverse (415400031033042), we get a palindrome (655730161037556).

The spelling of 240330130004514 in words is "two hundred forty trillion, three hundred thirty billion, one hundred thirty million, four thousand, five hundred fourteen".

Divisors: 1 2 3 6 11 22 33 66 127 254 381 397 762 794 1191 1397 2382 2794 4191 4367 8382 8734 13101 26202 50419 100838 151257 302514 554609 1109218 1663827 3327654 72222091 144444182 216666273 433332546 794443001 1588886002 2383329003 4766658006 9172205557 18344411114 27516616671 28672170127 55033233342 57344340254 86016510381 100894261127 172033020762 201788522254 302682783381 315393871397 605365566762 630787742794 946181614191 1892363228382 3641365606129 7282731212258 10924096818387 21848193636774 40055021667419 80110043334838 120165065002257 240330130004514