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41402342304 = 2532294957177
BaseRepresentation
bin100110100011110001…
…011001101110100000
310221212101210220111100
4212203301121232200
51134242444423204
631004151514400
72663663050221
oct464361315640
9127771726440
1041402342304
11166165a7624
128035688a00
133b9a7711cb
14200a92d248
151124b90a39
hex9a3c59ba0

41402342304 has 72 divisors (see below), whose sum is σ = 121797863460. Its totient is φ = 13324889088.

The previous prime is 41402342279. The next prime is 41402342339. The reversal of 41402342304 is 40324320414.

It is a happy number.

41402342304 is a `hidden beast` number, since 4 + 14 + 0 + 2 + 342 + 304 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 36933152400 + 4469189904 = 192180^2 + 66852^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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 11 ways as a sum of consecutive naturals, for example, 2470237 + ... + 2486940.

Almost surely, 241402342304 is an apocalyptic number.

It is an amenable number.

41402342304 is an abundant number, since it is smaller than the sum of its proper divisors (80395521156).

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

41402342304 is a wasteful number, since it uses less digits than its factorization.

41402342304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4957222 (or 4957211 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 41402342304 its reverse (40324320414), we get a palindrome (81726662718).

The spelling of 41402342304 in words is "forty-one billion, four hundred two million, three hundred forty-two thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 32 36 48 58 72 87 96 116 144 174 232 261 288 348 464 522 696 928 1044 1392 2088 2784 4176 8352 4957177 9914354 14871531 19828708 29743062 39657416 44614593 59486124 79314832 89229186 118972248 143758133 158629664 178458372 237944496 287516266 356916744 431274399 475888992 575032532 713833488 862548798 1150065064 1293823197 1427666976 1725097596 2300130128 2587646394 3450195192 4600260256 5175292788 6900390384 10350585576 13800780768 20701171152 41402342304