Search a number
-
+
231044044041300 = 223527281391533713
BaseRepresentation
bin110100100010001000100010…
…001011000010110001010100
31010022001121001200101100210110
4310202020202023002301110
5220240411200233310200
62135220100223523020
766444244536646530
oct6442104213026124
91108047050340713
10231044044041300
1167688257612426
1221ab5a72a59470
139bbc48a81aa59
14410a83cb20bc0
151ba9ebc13ab50
hexd222222c2c54

231044044041300 has 144 divisors (see below), whose sum is σ = 766704451024512. Its totient is φ = 52622130892800.

The previous prime is 231044044041287. The next prime is 231044044041311. The reversal of 231044044041300 is 3140440440132.

It is a super-2 number, since 2×2310440440413002 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 195176757 + ... + 196356956.

It is an arithmetic number, because the mean of its divisors is an integer number (5324336465448).

Almost surely, 2231044044041300 is an apocalyptic number.

231044044041300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

231044044041300 is an abundant number, since it is smaller than the sum of its proper divisors (535660406983212).

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

231044044041300 is a wasteful number, since it uses less digits than its factorization.

231044044041300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 391534018 (or 391534011 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 231044044041300 its reverse (3140440440132), we get a palindrome (234184484481432).

The spelling of 231044044041300 in words is "two hundred thirty-one trillion, forty-four billion, forty-four million, forty-one thousand, three hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 50 60 70 75 84 100 105 140 150 175 210 281 300 350 420 525 562 700 843 1050 1124 1405 1686 1967 2100 2810 3372 3934 4215 5620 5901 7025 7868 8430 9835 11802 14050 16860 19670 21075 23604 28100 29505 39340 42150 49175 59010 84300 98350 118020 147525 196700 295050 590100 391533713 783067426 1174601139 1566134852 1957668565 2349202278 2740735991 3915337130 4698404556 5481471982 5873005695 7830674260 8222207973 9788342825 10962943964 11746011390 13703679955 16444415946 19576685650 23492022780 27407359910 29365028475 32888831892 39153371300 41111039865 54814719820 58730056950 68518399775 82222079730 110020973353 117460113900 137036799550 164444159460 205555199325 220041946706 274073599100 330062920059 411110398650 440083893412 550104866765 660125840118 770146813471 822220797300 1100209733530 1320251680236 1540293626942 1650314600295 2200419467060 2310440440413 2750524333825 3080587253884 3300629200590 3850734067355 4620880880826 5501048667650 6601258401180 7701468134710 8251573001475 9241761761652 11002097335300 11552202202065 15402936269420 16503146002950 19253670336775 23104404404130 33006292005900 38507340673550 46208808808260 57761011010325 77014681347100 115522022020650 231044044041300