Search a number
-
+
1424231045104 = 247230710195807
BaseRepresentation
bin10100101110011010110…
…010010001011111110000
312001011012002222102110211
4110232122302101133300
5141313311121420404
63010141022033504
7204616526065300
oct24563262213760
95034162872424
101424231045104
114aa0163280aa
121b0038118894
13a43c5a3a09a
144cd0c7c9600
15270aa58db04
hex14b9ac917f0

1424231045104 has 120 divisors (see below), whose sum is σ = 3224141141760. Its totient is φ = 607694790528.

The previous prime is 1424231045093. The next prime is 1424231045147. The reversal of 1424231045104 is 4015401324241.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 245258169 + ... + 245263975.

It is an arithmetic number, because the mean of its divisors is an integer number (26867842848).

Almost surely, 21424231045104 is an apocalyptic number.

1424231045104 is a gapful number since it is divisible by the number (14) 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 1424231045104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1612070570880).

1424231045104 is an abundant number, since it is smaller than the sum of its proper divisors (1799910096656).

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

1424231045104 is a wasteful number, since it uses less digits than its factorization.

1424231045104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7155 (or 7142 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 31.

Adding to 1424231045104 its reverse (4015401324241), we get a palindrome (5439632369345).

The spelling of 1424231045104 in words is "one trillion, four hundred twenty-four billion, two hundred thirty-one million, forty-five thousand, one hundred four".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 196 307 392 614 784 1019 1228 2038 2149 2456 4076 4298 4912 5807 7133 8152 8596 11614 14266 15043 16304 17192 23228 28532 30086 34384 40649 46456 49931 57064 60172 81298 92912 99862 114128 120344 162596 199724 240688 284543 312833 325192 399448 569086 625666 650384 798896 1138172 1251332 1782749 2189831 2276344 2502664 3565498 4379662 4552688 5005328 5917333 7130996 8759324 11834666 12479243 14261992 15328817 17518648 23669332 24958486 28523984 30657634 35037296 41421331 47338664 49916972 61315268 82842662 87354701 94677328 99833944 122630536 165685324 174709402 199667888 245261072 289949317 331370648 349418804 579898634 662741296 698837608 1159797268 1397675216 1816621231 2319594536 3633242462 4639189072 7266484924 12716348617 14532969848 25432697234 29065939696 50865394468 89014440319 101730788936 178028880638 203461577872 356057761276 712115522552 1424231045104