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230401214241144 = 233337122512325263
BaseRepresentation
bin110100011000110001110110…
…100001111101100101111000
31010012210010210202201000202120
4310120301312201331211320
5220144343141321204034
62134004505010201240
766346636605545502
oct6430616641754570
91105703722630676
10230401214241144
116745a67398a081
1221a11370583220
139b73983778a3b
1440c769a52cd72
151b983e7161c49
hexd18c7687d978

230401214241144 has 64 divisors (see below), whose sum is σ = 577759648227840. Its totient is φ = 76566227136000.

The previous prime is 230401214241091. The next prime is 230401214241151. The reversal of 230401214241144 is 441142412104032.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 97923457 + ... + 100248719.

It is an arithmetic number, because the mean of its divisors is an integer number (9027494503560).

Almost surely, 2230401214241144 is an apocalyptic number.

230401214241144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

230401214241144 is an abundant number, since it is smaller than the sum of its proper divisors (347358433986696).

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

230401214241144 is a wasteful number, since it uses less digits than its factorization.

230401214241144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2337860 (or 2337856 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 33.

Adding to 230401214241144 its reverse (441142412104032), we get a palindrome (671543626345176).

The spelling of 230401214241144 in words is "two hundred thirty trillion, four hundred one billion, two hundred fourteen million, two hundred forty-one thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 24 337 674 1011 1348 2022 2696 4044 8088 12251 24502 36753 49004 73506 98008 147012 294024 2325263 4128587 4650526 6975789 8257174 9301052 12385761 13951578 16514348 18602104 24771522 27903156 33028696 49543044 55806312 99086088 783613631 1567227262 2350840893 3134454524 4701681786 6268909048 9403363572 18806727144 28486797013 56973594026 85460391039 113947188052 170920782078 227894376104 341841564156 683683128312 9600050593381 19200101186762 28800151780143 38400202373524 57600303560286 76800404747048 115200607120572 230401214241144