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422311201000044 = 223675692707341017
BaseRepresentation
bin110000000000101101111110…
…1000111101100101001101100
32001101021120000201011020222020
41200001123331013230221230
5420323121314424000134
64054103030515350140
7154644656151221526
oct14001337507545154
92041246021136866
10422311201000044
1111261a1a1374944
123b4468a68b2350
1315184a10666615
14763dd84d2aa16
1533c543bb95b49
hex18016fd1eca6c

422311201000044 has 96 divisors (see below), whose sum is σ = 1002230840728320. Its totient is φ = 138374100513792.

The previous prime is 422311201000001. The next prime is 422311201000049. The reversal of 422311201000044 is 440000102113224.

It is a junction number, because it is equal to n+sod(n) for n = 422311200999978 and 422311201000023.

It is not an unprimeable number, because it can be changed into a prime (422311201000049) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1238217024 + ... + 1238558040.

It is an arithmetic number, because the mean of its divisors is an integer number (10439904590920).

Almost surely, 2422311201000044 is an apocalyptic number.

It is an amenable number.

422311201000044 is an abundant number, since it is smaller than the sum of its proper divisors (579919639728276).

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

422311201000044 is a wasteful number, since it uses less digits than its factorization.

422311201000044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 344367 (or 344365 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 422311201000044 its reverse (440000102113224), we get a palindrome (862311303113268).

The spelling of 422311201000044 in words is "four hundred twenty-two trillion, three hundred eleven billion, two hundred one million, forty-four", and thus it is an aban number.

Divisors: 1 2 3 4 6 12 67 134 201 268 402 569 804 1138 1707 2276 2707 3414 5414 6828 8121 10828 16242 32484 38123 76246 114369 152492 181369 228738 341017 362738 457476 544107 682034 725476 1023051 1088214 1364068 1540283 2046102 2176428 3080566 4092204 4620849 6161132 9241698 18483396 22848139 45696278 68544417 91392556 103198961 137088834 194038673 206397922 274177668 309596883 388077346 412795844 582116019 619193766 776154692 923133019 1164232038 1238387532 1846266038 2328464076 2769399057 3692532076 5538798114 11077596228 13000591091 26001182182 39001773273 52002364364 61849912273 78003546546 123699824546 156007093092 185549736819 247399649092 371099473638 525262687811 742198947276 1050525375622 1575788063433 2101050751244 3151576126866 6303152253732 35192600083337 70385200166674 105577800250011 140770400333348 211155600500022 422311201000044