Search a number
-
+
424422323224424 = 237711131675656619
BaseRepresentation
bin110000010000000101000010…
…1110011110111111101101000
32001122202101012110001222202022
41200200022011303313331220
5421112213404221140144
64102400531255324012
7155253333553105340
oct14040120563677550
92048671173058668
10424422323224424
1111326355087a5a8
123b727a81380608
13152a8b12a5a285
1476b4215a45d20
1534102ea541cee
hex1820285cf7f68

424422323224424 has 128 divisors (see below), whose sum is σ = 936019465113600. Its totient is φ = 176681974318080.

The previous prime is 424422323224411. The next prime is 424422323224433.

424422323224424 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 72202787 + ... + 77859405.

It is an arithmetic number, because the mean of its divisors is an integer number (7312652071200).

Almost surely, 2424422323224424 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 424422323224424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (468009732556800).

424422323224424 is an abundant number, since it is smaller than the sum of its proper divisors (511597141889176).

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

424422323224424 is a wasteful number, since it uses less digits than its factorization.

424422323224424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5656983 (or 5656979 counting only the distinct ones).

The product of its digits is 4718592, while the sum is 44.

The spelling of 424422323224424 in words is "four hundred twenty-four trillion, four hundred twenty-two billion, three hundred twenty-three million, two hundred twenty-four thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 14 28 56 71 113 142 167 226 284 334 452 497 568 668 791 904 994 1169 1336 1582 1988 2338 3164 3976 4676 6328 8023 9352 11857 16046 18871 23714 32092 37742 47428 56161 64184 75484 82999 94856 112322 132097 150968 165998 224644 264194 331996 449288 528388 663992 1056776 1339841 2679682 5359364 5656619 9378887 10718728 11313238 18757774 22626476 37515548 39596333 45252952 75031096 79192666 158385332 316770664 401619949 639197947 803239898 944655373 1278395894 1606479796 1889310746 2556791788 2811339643 3212959592 3778621492 4474385629 5113583576 5622679286 6612587611 7557242984 8948771258 11245358572 13225175222 17897542516 22490717144 26450350444 35795085032 45383054237 52900700888 67070531483 90766108474 106746057149 134141062966 181532216948 213492114298 268282125932 317681379659 363064433896 426984228596 469493720381 536564251864 635362759318 747222400043 853968457192 938987440762 1270725518636 1494444800086 1877974881524 2541451037272 2988889600172 3755949763048 5977779200344 7578970057579 15157940115158 30315880230316 53052790403053 60631760460632 106105580806106 212211161612212 424422323224424