Search a number
-
+
424239909932424 = 2334713118115861803
BaseRepresentation
bin110000001110110000000110…
…1001000011000110110001000
32001122002221100202021122020110
41200131200031020120312020
5421101221313420314144
64102141042445354320
7155234215311521445
oct14035401510306610
92048087322248213
10424239909932424
111131a3154277423
123b6b86535689a0
1315294862154cc1
1476a946d52a9cc
15340a6c10390b9
hex181d80d218d88

424239909932424 has 128 divisors (see below), whose sum is σ = 1097464260372480. Its totient is φ = 136589149382400.

The previous prime is 424239909932347. The next prime is 424239909932431.

424239909932424 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18815107 + ... + 34676909.

It is an arithmetic number, because the mean of its divisors is an integer number (8573939534160).

Almost surely, 2424239909932424 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 424239909932424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (548732130186240).

424239909932424 is an abundant number, since it is smaller than the sum of its proper divisors (673224350440056).

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

424239909932424 is a wasteful number, since it uses less digits than its factorization.

424239909932424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15862171 (or 15862167 counting only the distinct ones).

The product of its (nonzero) digits is 241864704, while the sum is 66.

The spelling of 424239909932424 in words is "four hundred twenty-four trillion, two hundred thirty-nine billion, nine hundred nine million, nine hundred thirty-two thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 24 47 94 131 141 181 188 262 282 362 376 393 524 543 564 724 786 1048 1086 1128 1448 1572 2172 3144 4344 6157 8507 12314 17014 18471 23711 24628 25521 34028 36942 47422 49256 51042 68056 71133 73884 94844 102084 142266 147768 189688 204168 284532 569064 1114417 2228834 3343251 4457668 6686502 8915336 13373004 15861803 26746008 31723606 47585409 63447212 95170818 126894424 190341636 380683272 745504741 1491009482 2077896193 2236514223 2870986343 2982018964 4155792386 4473028446 5741972686 5964037928 6233688579 8311584772 8612959029 8946056892 11483945372 12467377158 16623169544 17225918058 17892113784 22967890744 24934754316 34451836116 49869508632 68903672232 97661121071 134936358121 195322242142 269872716242 292983363213 376099210933 390644484284 404809074363 539745432484 585966726426 752198421866 781288968568 809618148726 1079490864968 1128297632799 1171933452852 1504396843732 1619236297452 2256595265598 2343866905704 3008793687464 3238472594904 4513190531196 9026381062392 17676662913851 35353325827702 53029988741553 70706651655404 106059977483106 141413303310808 212119954966212 424239909932424