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4000444025214 = 2371316782753051
BaseRepresentation
bin111010001101101101000…
…010111000100101111110
3112011102211211012112000110
4322031231002320211332
51011020402132301324
612301440103010450
7562010506106220
oct72155502704576
915142754175013
104000444025214
1113026403a735a
12547390739a26
13230317ab2a50
14db8a02c4410
156e0d9e68329
hex3a36d0b897e

4000444025214 has 128 divisors (see below), whose sum is σ = 9918377828352. Its totient is φ = 1047456547200.

The previous prime is 4000444025159. The next prime is 4000444025233. The reversal of 4000444025214 is 4125204440004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 75380989 + ... + 75434039.

It is an arithmetic number, because the mean of its divisors is an integer number (77487326784).

Almost surely, 24000444025214 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4000444025214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4959188914176).

4000444025214 is an abundant number, since it is smaller than the sum of its proper divisors (5917933803138).

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

4000444025214 is a wasteful number, since it uses less digits than its factorization.

4000444025214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54070.

The product of its (nonzero) digits is 20480, while the sum is 30.

Adding to 4000444025214 its reverse (4125204440004), we get a palindrome (8125648465218).

The spelling of 4000444025214 in words is "four trillion, four hundred forty-four million, twenty-five thousand, two hundred fourteen".

Divisors: 1 2 3 6 7 13 14 21 26 39 42 78 91 167 182 273 334 501 546 827 1002 1169 1654 2171 2338 2481 3507 4342 4962 5789 6513 7014 10751 11578 13026 15197 17367 21502 30394 32253 34734 45591 53051 64506 75257 91182 106102 138109 150514 159153 225771 276218 318306 371357 414327 451542 689663 742714 828654 966763 1114071 1379326 1795417 1933526 2068989 2228142 2900289 3590834 4137978 4827641 5386251 5800578 8859517 9655282 10772502 12567919 14482923 17719034 25135838 26578551 28965846 37703757 43873177 53157102 62016619 75407514 87746354 115173721 124033238 131619531 186049857 230347442 263239062 307112239 345521163 372099714 570351301 614224478 691042326 806216047 921336717 1140702602 1612432094 1711053903 1842673434 2418648141 3422107806 3992459107 4837296282 7326820559 7984918214 11977377321 14653641118 21980461677 23954754642 43960923354 51287743913 95248667267 102575487826 153863231739 190497334534 285746001801 307726463478 571492003602 666740670869 1333481341738 2000222012607 4000444025214