Search a number
-
+
1143683722038 = 2311132983104309
BaseRepresentation
bin10000101001001000110…
…111001010101100110110
311001100001021200202212210
4100221020313022230312
5122214231013101123
62233222343154250
7145425356144514
oct20511067125466
94040037622783
101143683722038
11401040710a10
121657a1445986
1383b060a2200
143d4d6db94b4
151eb3aa85e93
hex10a48dcab36

1143683722038 has 96 divisors (see below), whose sum is σ = 2704796686080. Its totient is φ = 319583022720.

The previous prime is 1143683721989. The next prime is 1143683722067. The reversal of 1143683722038 is 8302273863411.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 10912228 + ... + 11016536.

It is an arithmetic number, because the mean of its divisors is an integer number (28174965480).

Almost surely, 21143683722038 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1143683722038, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1352398343040).

1143683722038 is an abundant number, since it is smaller than the sum of its proper divisors (1561112964042).

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

1143683722038 is a wasteful number, since it uses less digits than its factorization.

1143683722038 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105334 (or 105321 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 48.

The spelling of 1143683722038 in words is "one trillion, one hundred forty-three billion, six hundred eighty-three million, seven hundred twenty-two thousand, thirty-eight".

Divisors: 1 2 3 6 11 13 22 26 33 39 66 78 143 169 286 338 429 507 858 983 1014 1859 1966 2949 3718 5577 5898 10813 11154 12779 21626 25558 32439 38337 64878 76674 104309 140569 166127 208618 281138 312927 332254 421707 498381 625854 843414 996762 1147399 1356017 1827397 2294798 2712034 3442197 3654794 4068051 5482191 6884394 8136102 10964382 14916187 17628221 29832374 35256442 44748561 52884663 89497122 102535747 105769326 193910431 205071494 307607241 387820862 581731293 615214482 1127893217 1163462586 1332964711 2255786434 2665929422 3383679651 3998894133 6767359302 7997788266 14662611821 17328541243 29325223642 34657082486 43987835463 51985623729 87975670926 103971247458 190613953673 381227907346 571841861019 1143683722038