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1423314624 = 263191013863
BaseRepresentation
bin101010011010110…
…0000111011000000
310200012012212121110
41110311200323000
510403332031444
6353122323320
750161655214
oct12465407300
93605185543
101423314624
11670473386
123387b9540
13198b52804
14d7060944
1584e4ccb9
hex54d60ec0

1423314624 has 112 divisors (see below), whose sum is σ = 4004340480. Its totient is φ = 444902400.

The previous prime is 1423314623. The next prime is 1423314649. The reversal of 1423314624 is 4264133241.

It is a super-2 number, since 2×14233146242 = 4051649037784522752, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 1423314591 and 1423314600.

It is not an unprimeable number, because it can be changed into a prime (1423314623) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 366517 + ... + 370379.

It is an arithmetic number, because the mean of its divisors is an integer number (35753040).

Almost surely, 21423314624 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1423314624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2002170240).

1423314624 is an abundant number, since it is smaller than the sum of its proper divisors (2581025856).

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

1423314624 is a wasteful number, since it uses less digits than its factorization.

1423314624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3998 (or 3988 counting only the distinct ones).

The product of its digits is 13824, while the sum is 30.

The square root of 1423314624 is about 37726.8422214211. The cubic root of 1423314624 is about 1124.8647406766.

Adding to 1423314624 its reverse (4264133241), we get a palindrome (5687447865).

The spelling of 1423314624 in words is "one billion, four hundred twenty-three million, three hundred fourteen thousand, six hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 101 114 152 192 202 228 303 304 404 456 606 608 808 912 1212 1216 1616 1824 1919 2424 3232 3648 3838 3863 4848 5757 6464 7676 7726 9696 11514 11589 15352 15452 19392 23028 23178 30704 30904 46056 46356 61408 61808 73397 92112 92712 122816 123616 146794 184224 185424 220191 247232 293588 368448 370848 390163 440382 587176 741696 780326 880764 1170489 1174352 1560652 1761528 2340978 2348704 3121304 3523056 4681956 4697408 6242608 7046112 7413097 9363912 12485216 14092224 14826194 18727824 22239291 24970432 29652388 37455648 44478582 59304776 74911296 88957164 118609552 177914328 237219104 355828656 474438208 711657312 1423314624