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17424044440 = 235113710310391
BaseRepresentation
bin10000001110100011…
…011101000110011000
31122222022102011112021
4100032203131012120
5241141023410230
612000545424224
71154532635245
oct201643350630
948868364467
1017424044440
117431467530
12346333b074
131848b02c8a
14bb41425cc
156bea39c7a
hex40e8dd198

17424044440 has 128 divisors (see below), whose sum is σ = 44354718720. Its totient is φ = 6104332800.

The previous prime is 17424044431. The next prime is 17424044507. The reversal of 17424044440 is 4444042471.

It is a junction number, because it is equal to n+sod(n) for n = 17424044396 and 17424044405.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1671645 + ... + 1682035.

It is an arithmetic number, because the mean of its divisors is an integer number (346521240).

Almost surely, 217424044440 is an apocalyptic number.

17424044440 is a gapful number since it is divisible by the number (10) 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 17424044440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22177359360).

17424044440 is an abundant number, since it is smaller than the sum of its proper divisors (26930674280).

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

17424044440 is a wasteful number, since it uses less digits than its factorization.

17424044440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10553 (or 10549 counting only the distinct ones).

The product of its (nonzero) digits is 57344, while the sum is 34.

The spelling of 17424044440 in words is "seventeen billion, four hundred twenty-four million, forty-four thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 37 40 44 55 74 88 103 110 148 185 206 220 296 370 407 412 440 515 740 814 824 1030 1133 1480 1628 2035 2060 2266 3256 3811 4070 4120 4532 5665 7622 8140 9064 10391 11330 15244 16280 19055 20782 22660 30488 38110 41564 41921 45320 51955 76220 83128 83842 103910 114301 152440 167684 207820 209605 228602 335368 384467 415640 419210 457204 571505 768934 838420 914408 1070273 1143010 1537868 1676840 1922335 2140546 2286020 3075736 3844670 4229137 4281092 4572040 5351365 7689340 8458274 8562184 10702730 11773003 15378680 16916548 21145685 21405460 23546006 33833096 39600101 42291370 42810920 47092012 58865015 79200202 84582740 94184024 117730030 158400404 169165480 198000505 235460060 316800808 396001010 435601111 470920120 792002020 871202222 1584004040 1742404444 2178005555 3484808888 4356011110 8712022220 17424044440