Search a number
-
+
21654421144323 = 31119313769295591
BaseRepresentation
bin1001110110001110100000…
…00101001000001100000011
32211200010211211201120002220
410323013100011020030003
510314241223303104243
6114015523112542123
74363323512513202
oct473072005101403
984603754646086
1021654421144323
11699965222a760
1225189319b1943
13c11006c03a06
1454c1184d9239
15278434023783
hex13b1d0148303

21654421144323 has 64 divisors (see below), whose sum is σ = 34233810124800. Its totient is φ = 12028857696000.

The previous prime is 21654421144297. The next prime is 21654421144381. The reversal of 21654421144323 is 32344112445612.

It is not a de Polignac number, because 21654421144323 - 221 = 21654419047171 is a prime.

It is not an unprimeable number, because it can be changed into a prime (21654421144393) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 73110258 + ... + 73405848.

It is an arithmetic number, because the mean of its divisors is an integer number (534903283200).

Almost surely, 221654421144323 is an apocalyptic number.

21654421144323 is a deficient number, since it is larger than the sum of its proper divisors (12579388980477).

21654421144323 is a wasteful number, since it uses less digits than its factorization.

21654421144323 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299424.

The product of its digits is 552960, while the sum is 42.

Adding to 21654421144323 its reverse (32344112445612), we get a palindrome (53998533589935).

The spelling of 21654421144323 in words is "twenty-one trillion, six hundred fifty-four billion, four hundred twenty-one million, one hundred forty-four thousand, three hundred twenty-three".

Divisors: 1 3 11 19 31 33 57 93 209 341 589 627 1023 1767 3769 6479 11307 19437 41459 71611 116839 124377 214833 295591 350517 787721 886773 1285229 2219941 2363163 3251501 3855687 5616229 6659823 9163321 9754503 16848687 24419351 27489963 61778519 73258053 100796531 174103099 185335557 302389593 522309297 1114082479 1915134089 3342247437 5745402267 12254907269 21167567101 34536556849 36764721807 63502701303 103609670547 232843238111 379902125339 656194580131 698529714333 1139706376017 1968583740393 7218140381441 21654421144323