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243430433314040 = 235719101453045547
BaseRepresentation
bin110111010110011000010000…
…100000010101010011111000
31011220220201111110001020211002
4313112120100200111103320
5223401331011412022130
62221422221445024132
7102163161032420510
oct6726302040252370
91156821443036732
10243430433314040
11706232a34297a5
12233765476b5048
13a5aa511a937ab
14441814ad9a840
151d222b6ab6b45
hexdd66108154f8

243430433314040 has 128 divisors (see below), whose sum is σ = 665433300902400. Its totient is φ = 78286270348800.

The previous prime is 243430433314007. The next prime is 243430433314091. The reversal of 243430433314040 is 40413334034342.

It is a happy number.

It is a super-2 number, since 2×2434304333140402 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a junction number, because it is equal to n+sod(n) for n = 243430433313985 and 243430433314003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 225985454 + ... + 227060093.

It is an arithmetic number, because the mean of its divisors is an integer number (5198697663300).

Almost surely, 2243430433314040 is an apocalyptic number.

243430433314040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

243430433314040 is an abundant number, since it is smaller than the sum of its proper divisors (422002867588360).

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

243430433314040 is a wasteful number, since it uses less digits than its factorization.

243430433314040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 453045685 (or 453045681 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 38.

Adding to 243430433314040 its reverse (40413334034342), we get a palindrome (283843767348382).

The spelling of 243430433314040 in words is "two hundred forty-three trillion, four hundred thirty billion, four hundred thirty-three million, three hundred fourteen thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 19 20 28 35 38 40 56 70 76 95 101 133 140 152 190 202 266 280 380 404 505 532 665 707 760 808 1010 1064 1330 1414 1919 2020 2660 2828 3535 3838 4040 5320 5656 7070 7676 9595 13433 14140 15352 19190 26866 28280 38380 53732 67165 76760 107464 134330 268660 537320 453045547 906091094 1812182188 2265227735 3171318829 3624364376 4530455470 6342637658 8607865393 9060910940 12685275316 15856594145 17215730786 18121821880 25370550632 31713188290 34431461572 43039326965 45757600247 60255057751 63426376580 68862923144 86078653930 91515200494 120510115502 126852753160 172157307860 183030400988 228788001235 241020231004 301275288755 320303201729 344314615720 366060801976 457576002470 482040462008 602550577510 640606403458 869394404693 915152004940 1205101155020 1281212806916 1601516008645 1738788809386 1830304009880 2410202310040 2562425613832 3203032017290 3477577618772 4346972023465 6085760832851 6406064034580 6955155237544 8693944046930 12171521665702 12812128069160 17387888093860 24343043331404 30428804164255 34775776187720 48686086662808 60857608328510 121715216657020 243430433314040