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6041042304 = 2731113910289
BaseRepresentation
bin1011010000001001…
…01111110110000000
3120121000021202010120
411220010233312000
544333001323204
62435240300240
7302463004143
oct55004576600
916530252116
106041042304
112620013550
121207171680
13753738b5b
1441445405a
152555436d9
hex16812fd80

6041042304 has 128 divisors (see below), whose sum is σ = 17632944000. Its totient is φ = 1817272320.

The previous prime is 6041042269. The next prime is 6041042311. The reversal of 6041042304 is 4032401406.

It is a tau number, because it is divible by the number of its divisors (128).

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

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, 581992 + ... + 592280.

It is an arithmetic number, because the mean of its divisors is an integer number (137757375).

Almost surely, 26041042304 is an apocalyptic number.

6041042304 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6041042304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8816472000).

6041042304 is an abundant number, since it is smaller than the sum of its proper divisors (11591901696).

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

6041042304 is a wasteful number, since it uses less digits than its factorization.

6041042304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10456 (or 10444 counting only the distinct ones).

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

The square root of 6041042304 is about 77724.1423497230. The cubic root of 6041042304 is about 1821.2544489333.

The spelling of 6041042304 in words is "six billion, forty-one million, forty-two thousand, three hundred four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 139 176 192 264 278 352 384 417 528 556 704 834 1056 1112 1408 1529 1668 2112 2224 3058 3336 4224 4448 4587 6116 6672 8896 9174 10289 12232 13344 17792 18348 20578 24464 26688 30867 36696 41156 48928 53376 61734 73392 82312 97856 113179 123468 146784 164624 195712 226358 246936 293568 329248 339537 452716 493872 587136 658496 679074 905432 987744 1316992 1358148 1430171 1810864 1975488 2716296 2860342 3621728 3950976 4290513 5432592 5720684 7243456 8581026 10865184 11441368 14486912 15731881 17162052 21730368 22882736 31463762 34324104 43460736 45765472 47195643 62927524 68648208 91530944 94391286 125855048 137296416 183061888 188782572 251710096 274592832 377565144 503420192 549185664 755130288 1006840384 1510260576 2013680768 3020521152 6041042304