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33144040314 = 23272113416207
BaseRepresentation
bin11110110111100010…
…011110101101111010
310011112212100200212200
4132313202132231322
51020334333242224
623120503451030
72252224460100
oct366742365572
9104485320780
1033144040314
1113068a46060
12650ba56a76
13318286c998
141865c27c70
15cdeb715c9
hex7b789eb7a

33144040314 has 72 divisors (see below), whose sum is σ = 91130764608. Its totient is φ = 8608839120.

The previous prime is 33144040291. The next prime is 33144040333. The reversal of 33144040314 is 41304044133.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1698402 + ... + 1717805.

It is an arithmetic number, because the mean of its divisors is an integer number (1265705064).

Almost surely, 233144040314 is an apocalyptic number.

33144040314 is an abundant number, since it is smaller than the sum of its proper divisors (57986724294).

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

33144040314 is a wasteful number, since it uses less digits than its factorization.

33144040314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3416240 (or 3416230 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 33144040314 its reverse (41304044133), we get a palindrome (74448084447).

The spelling of 33144040314 in words is "thirty-three billion, one hundred forty-four million, forty thousand, three hundred fourteen".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 33 42 49 63 66 77 98 99 126 147 154 198 231 294 441 462 539 693 882 1078 1386 1617 3234 4851 9702 3416207 6832414 10248621 20497242 23913449 30745863 37578277 47826898 61491726 71740347 75156554 112734831 143480694 167394143 215221041 225469662 263047939 334788286 338204493 430442082 502182429 526095878 676408986 789143817 1004364858 1506547287 1578287634 1841335573 2367431451 3013094574 3682671146 4734862902 5524006719 11048013438 16572020157 33144040314