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4244023441400 = 2352197208751613
BaseRepresentation
bin111101110000100011100…
…000100111011111111000
3120000201120021211220221012
4331300203200213133320
51024013230000111100
613005402155133052
7615422600015561
oct75604340473770
916021507756835
104244023441400
111396975655996
1258662aa44188
1324a295908502
141095aa0c5168
15755e426c135
hex3dc238277f8

4244023441400 has 96 divisors (see below), whose sum is σ = 9922386846240. Its totient is φ = 1688150069760.

The previous prime is 4244023441391. The next prime is 4244023441421. The reversal of 4244023441400 is 41443204424.

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 23 ways as a sum of consecutive naturals, for example, 82201994 + ... + 82253606.

It is an arithmetic number, because the mean of its divisors is an integer number (103358196315).

Almost surely, 24244023441400 is an apocalyptic number.

4244023441400 is a gapful number since it is divisible by the number (40) 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 4244023441400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4961193423120).

4244023441400 is an abundant number, since it is smaller than the sum of its proper divisors (5678363404840).

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

4244023441400 is a wasteful number, since it uses less digits than its factorization.

4244023441400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53913 (or 53904 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 32.

Adding to 4244023441400 its reverse (41443204424), we get a palindrome (4285466645824).

The spelling of 4244023441400 in words is "four trillion, two hundred forty-four billion, twenty-three million, four hundred forty-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 197 200 394 788 985 1576 1970 2087 3940 4174 4925 7880 8348 9850 10435 16696 19700 20870 39400 41740 51613 52175 83480 103226 104350 206452 208700 258065 411139 412904 417400 516130 822278 1032260 1290325 1644556 2055695 2064520 2580650 3289112 4111390 5161300 8222780 10167761 10278475 10322600 16445560 20335522 20556950 40671044 41113900 50838805 81342088 82227800 101677610 107716331 203355220 215432662 254194025 406710440 430865324 508388050 538581655 861730648 1016776100 1077163310 2033552200 2154326620 2692908275 4308653240 5385816550 10771633100 21220117207 21543266200 42440234414 84880468828 106100586035 169760937656 212201172070 424402344140 530502930175 848804688280 1061005860350 2122011720700 4244023441400