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412230001344 = 26371372238823
BaseRepresentation
bin1011111111110101101…
…00101010001011000000
31110102001000110210212120
411333322310222023000
523223221340020334
6513213103324240
741532305124420
oct5777264521300
91412030423776
10412230001344
1114990a0a8427
1267a86bb0680
132cb47332925
1415d48572480
15aaca44c949
hex5ffad2a2c0

412230001344 has 112 divisors (see below), whose sum is σ = 1255604141568. Its totient is φ = 116920240128.

The previous prime is 412230001343. The next prime is 412230001367. The reversal of 412230001344 is 443100032214.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (412230001343) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 935284 + ... + 1303539.

It is an arithmetic number, because the mean of its divisors is an integer number (11210751264).

Almost surely, 2412230001344 is an apocalyptic number.

It is an amenable number.

412230001344 is an abundant number, since it is smaller than the sum of its proper divisors (843374140224).

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

412230001344 is a wasteful number, since it uses less digits than its factorization.

412230001344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2238982 (or 2238972 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 412230001344 its reverse (443100032214), we get a palindrome (855330033558).

The spelling of 412230001344 in words is "four hundred twelve billion, two hundred thirty million, one thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 137 168 192 224 274 336 411 448 548 672 822 959 1096 1344 1644 1918 2192 2877 3288 3836 4384 5754 6576 7672 8768 11508 13152 15344 23016 26304 30688 46032 61376 92064 184128 2238823 4477646 6716469 8955292 13432938 15671761 17910584 26865876 31343522 35821168 47015283 53731752 62687044 71642336 94030566 107463504 125374088 143284672 188061132 214927008 250748176 306718751 376122264 429854016 501496352 613437502 752244528 920156253 1002992704 1226875004 1504489056 1840312506 2147031257 2453750008 3008978112 3680625012 4294062514 4907500016 6441093771 7361250024 8588125028 9815000032 12882187542 14722500048 17176250056 19630000064 25764375084 29445000096 34352500112 51528750168 58890000192 68705000224 103057500336 137410000448 206115000672 412230001344