Search a number
-
+
1401120043323 = 3711133773172741
BaseRepresentation
bin10100011000111001010…
…000110011000100111011
311221221112110112220001220
4110120321100303010323
5140423443212341243
62551355441043123
7203141026602330
oct24307120630473
94857473486056
101401120043323
114a0236812430
121a76683264a3
13a21819848c0
144bb59284987
15266a6654783
hex1463943313b

1401120043323 has 128 divisors (see below), whose sum is σ = 2611394709504. Its totient is φ = 644748595200.

The previous prime is 1401120043261. The next prime is 1401120043333. The reversal of 1401120043323 is 3233400211041.

It is a happy number.

It is not a de Polignac number, because 1401120043323 - 26 = 1401120043259 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1401120043293 and 1401120043302.

It is not an unprimeable number, because it can be changed into a prime (1401120043333) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 8024733 + ... + 8197473.

It is an arithmetic number, because the mean of its divisors is an integer number (20401521168).

Almost surely, 21401120043323 is an apocalyptic number.

1401120043323 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

1401120043323 is a deficient number, since it is larger than the sum of its proper divisors (1210274666181).

1401120043323 is a wasteful number, since it uses less digits than its factorization.

1401120043323 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172885.

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 1401120043323 its reverse (3233400211041), we get a palindrome (4634520254364).

The spelling of 1401120043323 in words is "one trillion, four hundred one billion, one hundred twenty million, forty-three thousand, three hundred twenty-three".

Divisors: 1 3 7 11 13 21 33 37 39 73 77 91 111 143 219 231 259 273 407 429 481 511 777 803 949 1001 1221 1443 1533 2409 2701 2847 2849 3003 3367 5291 5621 6643 8103 8547 10101 10439 15873 16863 18907 19929 29711 31317 35113 37037 56721 73073 89133 105339 111111 172741 207977 219219 245791 386243 518223 623931 737373 1158729 1209187 1900151 2245633 2703701 3627561 5700453 6391417 6736899 8111103 12610093 13301057 15719431 19174251 24701963 37830279 39903171 44739919 47158293 70305587 74105889 83088421 88270651 134219757 138711023 163931209 172913741 210916761 249265263 264811953 416133069 466573441 491793627 492139109 518741223 581618947 913972631 970977161 1147518463 1399720323 1476417327 1744856841 1803243299 2741917893 2912931483 3266014087 3442555389 5132307851 5409729897 6065454733 6397808417 9798042261 12622703093 15396923553 18196364199 19193425251 35926154957 37868109279 42458183131 66720002063 107778464871 127374549393 200160006189 467040014441 1401120043323