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22404040441104 = 2437193509404831
BaseRepresentation
bin1010001100000010110001…
…10111110011110100010000
32221022210202002200101211110
411012001120313303310100
510414031433323103404
6115352135112013320
74501432002430440
oct506013067636420
987283662611743
1022404040441104
117158555836443
12261a077991240
13c668cc29739a
1457650b750120
1528cba931eb89
hex146058df3d10

22404040441104 has 80 divisors (see below), whose sum is σ = 69626591866880. Its totient is φ = 6064251546240.

The previous prime is 22404040441103. The next prime is 22404040441141. The reversal of 22404040441104 is 40114404040422.

It is not an unprimeable number, because it can be changed into a prime (22404040441103) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1754696032 + ... + 1754708799.

It is an arithmetic number, because the mean of its divisors is an integer number (870332398336).

Almost surely, 222404040441104 is an apocalyptic number.

22404040441104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

22404040441104 is an abundant number, since it is smaller than the sum of its proper divisors (47222551425776).

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

22404040441104 is a wasteful number, since it uses less digits than its factorization.

22404040441104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3509404868 (or 3509404862 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 30.

Adding to 22404040441104 its reverse (40114404040422), we get a palindrome (62518444481526).

The spelling of 22404040441104 in words is "twenty-two trillion, four hundred four billion, forty million, four hundred forty-one thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 38 42 48 56 57 76 84 112 114 133 152 168 228 266 304 336 399 456 532 798 912 1064 1596 2128 3192 6384 3509404831 7018809662 10528214493 14037619324 21056428986 24565833817 28075238648 42112857972 49131667634 56150477296 66678691789 73697501451 84225715944 98263335268 133357383578 147395002902 168451431888 196526670536 200036075367 266714767156 294790005804 393053341072 400072150734 466750842523 533429534312 589580011608 800144301468 933501685046 1066859068624 1179160023216 1400252527569 1600288602936 1867003370092 2800505055138 3200577205872 3734006740184 5601010110276 7468013480368 11202020220552 22404040441104