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4022041111000 = 235311689952999
BaseRepresentation
bin111010100001110100010…
…101001110100111011000
3112020111120221221011002121
4322201310111032213120
51011344120011023000
612315411123311024
7563403633235003
oct72416425164730
915214527834077
104022041111000
111310813397590
1254b5b951b474
1323237a312b53
14dc94c74253a
156e951009b1a
hex3a87454e9d8

4022041111000 has 128 divisors (see below), whose sum is σ = 10268856000000. Its totient is φ = 1462320816000.

The previous prime is 4022041110991. The next prime is 4022041111061. The reversal of 4022041111000 is 1111402204.

It is a happy number.

4022041111000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×40220411110002 (a number of 26 digits) contains 22 as substring.

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, 75862501 + ... + 75915499.

It is an arithmetic number, because the mean of its divisors is an integer number (80225437500).

Almost surely, 24022041111000 is an apocalyptic number.

4022041111000 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 4022041111000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5134428000000).

4022041111000 is an abundant number, since it is smaller than the sum of its proper divisors (6246814889000).

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

4022041111000 is a wasteful number, since it uses less digits than its factorization.

4022041111000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59930 (or 59916 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 4022041111000 its reverse (1111402204), we get a palindrome (4023152513204).

It can be divided in two parts, 402 and 2041111000, that added together give a palindrome (2041111402).

The spelling of 4022041111000 in words is "four trillion, twenty-two billion, forty-one million, one hundred eleven thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 125 200 220 250 275 440 500 550 1000 1100 1375 2200 2750 5500 6899 11000 13798 27596 34495 52999 55192 68990 75889 105998 137980 151778 172475 211996 264995 275960 303556 344950 379445 423992 529990 582989 607112 689900 758890 862375 1059980 1165978 1324975 1379800 1517780 1724750 1897225 2119960 2331956 2649950 2914945 3035560 3449500 3794450 4663912 5299900 5829890 6624875 6899000 7588900 9486125 10599800 11659780 13249750 14574725 15177800 18972250 23319560 26499500 29149450 37944500 52999000 58298900 72873625 75889000 116597800 145747250 291494500 365640101 582989000 731280202 1462560404 1828200505 2925120808 3656401010 4022041111 7312802020 8044082222 9141002525 14625604040 16088164444 18282005050 20110205555 32176328888 36564010100 40220411110 45705012625 73128020200 80440822220 91410025250 100551027775 160881644440 182820050500 201102055550 365640101000 402204111100 502755138875 804408222200 1005510277750 2011020555500 4022041111000