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10044386304 = 210323142159
BaseRepresentation
bin10010101101011000…
…10010110000000000
3221221000021200200120
421112230102300000
5131032330330204
64340410020240
7503623606041
oct112654226000
927830250616
1010044386304
114294881107
121b43a17680
13c40c5b664
146b3dd88c8
153dbc296d9
hex256b12c00

10044386304 has 88 divisors (see below), whose sum is σ = 27936145920. Its totient is φ = 3202535424.

The previous prime is 10044386279. The next prime is 10044386323. The reversal of 10044386304 is 40368344001.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 424 + ... + 141735.

Almost surely, 210044386304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10044386304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13968072960).

10044386304 is an abundant number, since it is smaller than the sum of its proper divisors (17891759616).

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

10044386304 is a wasteful number, since it uses less digits than its factorization.

10044386304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142205 (or 142187 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 33.

The spelling of 10044386304 in words is "ten billion, forty-four million, three hundred eighty-six thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 64 69 92 96 128 138 184 192 256 276 368 384 512 552 736 768 1024 1104 1472 1536 2208 2944 3072 4416 5888 8832 11776 17664 23552 35328 70656 142159 284318 426477 568636 852954 1137272 1705908 2274544 3269657 3411816 4549088 6539314 6823632 9098176 9808971 13078628 13647264 18196352 19617942 26157256 27294528 36392704 39235884 52314512 54589056 72785408 78471768 104629024 109178112 145570816 156943536 209258048 218356224 313887072 418516096 436712448 627774144 837032192 1255548288 1674064384 2511096576 3348128768 5022193152 10044386304