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1423113104224 = 257219178726731
BaseRepresentation
bin10100101101011000001…
…001101010101101100000
312001001022012101010220001
4110231120021222231200
5141304013423313344
63005434044425344
7204550032540400
oct24553011525540
95031265333801
101423113104224
114a95a2279619
121ab985848254
13a42782472c6
144cc4413a800
1527042361ed4
hex14b5826ab60

1423113104224 has 144 divisors (see below), whose sum is σ = 3432767325120. Its totient is φ = 577460378880.

The previous prime is 1423113104221. The next prime is 1423113104249. The reversal of 1423113104224 is 4224013113241.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 1423113104192 and 1423113104201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1423113104221) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 53224939 + ... + 53251669.

It is an arithmetic number, because the mean of its divisors is an integer number (23838661980).

Almost surely, 21423113104224 is an apocalyptic number.

1423113104224 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 1423113104224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1716383662560).

1423113104224 is an abundant number, since it is smaller than the sum of its proper divisors (2009654220896).

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

1423113104224 is a wasteful number, since it uses less digits than its factorization.

1423113104224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28561 (or 28546 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

Adding to 1423113104224 its reverse (4224013113241), we get a palindrome (5647126217465).

The spelling of 1423113104224 in words is "one trillion, four hundred twenty-three billion, one hundred thirteen million, one hundred four thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 49 56 76 98 112 133 152 196 224 266 304 392 532 608 784 931 1064 1568 1787 1862 2128 3574 3724 4256 7148 7448 12509 14296 14896 25018 26731 28592 29792 33953 50036 53462 57184 67906 87563 100072 106924 135812 175126 187117 200144 213848 237671 271624 350252 374234 400288 427696 475342 507889 543248 700504 748468 855392 950684 1015778 1086496 1309819 1401008 1496936 1663697 1901368 2031556 2619638 2802016 2993872 3327394 3555223 3802736 4063112 5239276 5987744 6654788 7110446 7605472 8126224 10478552 13309576 14220892 16252448 20957104 24886561 26619152 28441784 41914208 47768297 49773122 53238304 56883568 95536594 99546244 113767136 191073188 199092488 334378079 382146376 398184976 668756158 764292752 796369952 907597643 1337512316 1528585504 1815195286 2340646553 2675024632 3630390572 4681293106 5350049264 6353183501 7260781144 9362586212 10700098528 12706367002 14521562288 18725172424 25412734004 29043124576 37450344848 44472284507 50825468008 74900689696 88944569014 101650936016 177889138028 203301872032 355778276056 711556552112 1423113104224