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4021313202144 = 253276729771627
BaseRepresentation
bin111010100001001000111…
…100011110011111100000
3112020102201020020112212100
4322201020330132133200
51011341122134432034
612315211001530400
7563346614144520
oct72411074363740
915212636215770
104021313202144
11131047a515917
1254b4357a3a00
13232292581554
14dc8bdbc1680
156e90c173099
hex3a848f1e7e0

4021313202144 has 144 divisors (see below), whose sum is σ = 13264332052608. Its totient is φ = 1131798134016.

The previous prime is 4021313202121. The next prime is 4021313202209. The reversal of 4021313202144 is 4412023131204.

4021313202144 is a `hidden beast` number, since 4 + 0 + 2 + 1 + 313 + 202 + 144 = 666.

4021313202144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14750742 + ... + 15020885.

It is an arithmetic number, because the mean of its divisors is an integer number (92113417032).

Almost surely, 24021313202144 is an apocalyptic number.

It is an amenable number.

4021313202144 is an abundant number, since it is smaller than the sum of its proper divisors (9243018850464).

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

4021313202144 is a wasteful number, since it uses less digits than its factorization.

4021313202144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29771717 (or 29771706 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 4021313202144 its reverse (4412023131204), we get a palindrome (8433336333348).

The spelling of 4021313202144 in words is "four trillion, twenty-one billion, three hundred thirteen million, two hundred two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 67 72 84 96 112 126 134 144 168 201 224 252 268 288 336 402 469 504 536 603 672 804 938 1008 1072 1206 1407 1608 1876 2016 2144 2412 2814 3216 3752 4221 4824 5628 6432 7504 8442 9648 11256 15008 16884 19296 22512 33768 45024 67536 135072 29771627 59543254 89314881 119086508 178629762 208401389 238173016 267944643 357259524 416802778 476346032 535889286 625204167 714519048 833605556 952692064 1071778572 1250408334 1429038096 1667211112 1875612501 1994699009 2143557144 2500816668 2858076192 3334422224 3751225002 3989398018 4287114288 5001633336 5984097027 6668844448 7502450004 7978796036 8574228576 10003266672 11968194054 13962893063 15004900008 15957592072 17952291081 20006533344 23936388108 27925786126 30009800016 31915184144 35904582162 41888679189 47872776216 55851572252 60019600032 63830368288 71809164324 83777358378 95745552432 111703144504 125666037567 143618328648 167554716756 191491104864 223406289008 251332075134 287236657296 335109433512 446812578016 502664150268 574473314592 670218867024 1005328300536 1340437734048 2010656601072 4021313202144