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243034454222140 = 225723142291891657
BaseRepresentation
bin110111010000100111011110…
…010011111110010100111100
31011212111212101222112011210111
4313100213132103332110330
5223323334030240102030
62220520253102515404
7102122442223603600
oct6720473623762474
91155455358464714
10243034454222140
1170490373571149
1223311856b95b64
13a57c0874b7719
144402d04c31500
151d16d3d1c362a
hexdd09de4fe53c

243034454222140 has 144 divisors (see below), whose sum is σ = 612995255550720. Its totient is φ = 80619049405440.

The previous prime is 243034454221969. The next prime is 243034454222179. The reversal of 243034454222140 is 41222454430342.

It is a junction number, because it is equal to n+sod(n) for n = 243034454222093 and 243034454222102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 127531192 + ... + 129422848.

It is an arithmetic number, because the mean of its divisors is an integer number (4256911496880).

Almost surely, 2243034454222140 is an apocalyptic number.

243034454222140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 243034454222140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306497627775360).

243034454222140 is an abundant number, since it is smaller than the sum of its proper divisors (369960801328580).

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

243034454222140 is a wasteful number, since it uses less digits than its factorization.

243034454222140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1895940 (or 1895931 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 40.

The spelling of 243034454222140 in words is "two hundred forty-three trillion, thirty-four billion, four hundred fifty-four million, two hundred twenty-two thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 31 35 49 62 70 98 124 140 155 196 217 245 310 434 490 620 868 980 1085 1519 2170 3038 4229 4340 6076 7595 8458 15190 16916 21145 29603 30380 42290 59206 84580 118412 131099 148015 207221 262198 296030 414442 524396 592060 655495 828884 917693 1036105 1310990 1835386 1891657 2072210 2621980 3670772 3783314 4144420 4588465 6423851 7566628 9176930 9458285 12847702 13241599 18353860 18916570 25695404 26483198 32119255 37833140 52966396 58641367 64238510 66207995 92691193 117282734 128477020 132415990 185382386 234565468 264831980 293206835 370764772 410489569 463455965 586413670 820979138 926911930 1172827340 1641958276 1853823860 2052447845 2873426983 4104895690 5746853966 7999817453 8209791380 11493707932 14367134915 15999634906 28734269830 31999269812 39999087265 55998722171 57468539660 79998174530 111997444342 159996349060 223994888684 247994341043 279993610855 391991055197 495988682086 559987221710 783982110394 991977364172 1119974443420 1239971705215 1567964220788 1735960387301 1959955275985 2479943410430 3471920774602 3919910551970 4959886820860 6943841549204 7839821103940 8679801936505 12151722711107 17359603873010 24303445422214 34719207746020 48606890844428 60758613555535 121517227111070 243034454222140