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4010003424 = 2532716312203
BaseRepresentation
bin1110111100000011…
…1100101111100000
3101100110112021120100
43233000330233200
531203030102144
61501524142400
7201241316040
oct35700745740
911313467510
104010003424
1117785a6a19
1293ab37a00
134bba149bb
142a07d9720
1518709e269
hexef03cbe0

4010003424 has 144 divisors (see below), whose sum is σ = 13113539712. Its totient is φ = 1138593024.

The previous prime is 4010003363. The next prime is 4010003443. The reversal of 4010003424 is 4243000104.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 4010003397 and 4010003406.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 322507 + ... + 334709.

It is an arithmetic number, because the mean of its divisors is an integer number (91066248).

Almost surely, 24010003424 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 4010003424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6556769856).

4010003424 is an abundant number, since it is smaller than the sum of its proper divisors (9103536288).

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

4010003424 is a wasteful number, since it uses less digits than its factorization.

4010003424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12389 (or 12378 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 4010003424 is about 63324.5878312682. The cubic root of 4010003424 is about 1588.7232375298.

Adding to 4010003424 its reverse (4243000104), we get a palindrome (8253003528).

The spelling of 4010003424 in words is "four billion, ten million, three thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 163 168 224 252 288 326 336 489 504 652 672 978 1008 1141 1304 1467 1956 2016 2282 2608 2934 3423 3912 4564 5216 5868 6846 7824 9128 10269 11736 12203 13692 15648 18256 20538 23472 24406 27384 36512 36609 41076 46944 48812 54768 73218 82152 85421 97624 109536 109827 146436 164304 170842 195248 219654 256263 292872 328608 341684 390496 439308 512526 585744 683368 768789 878616 1025052 1171488 1366736 1537578 1757232 1989089 2050104 2733472 3075156 3514464 3978178 4100208 5967267 6150312 7956356 8200416 11934534 12300624 13923623 15912712 17901801 23869068 24601248 27847246 31825424 35803602 41770869 47738136 55694492 63650848 71607204 83541738 95476272 111388984 125312607 143214408 167083476 190952544 222777968 250625214 286428816 334166952 445555936 501250428 572857632 668333904 1002500856 1336667808 2005001712 4010003424