Search a number
-
+
422110114424244 = 223242169614001009
BaseRepresentation
bin101111111111010000010101…
…1011011010010010110110100
32001100120022222122021210200200
41133332200223123102112310
5420311323003243033434
64053430413132240500
7154624310064432201
oct13776405333222664
92040508878253620
10422110114424244
11112551992228214
123b413927310130
131516ba751b6aac
14763434a802ca8
1533c00bd13d199
hex17fe82b6d25b4

422110114424244 has 72 divisors (see below), whose sum is σ = 1069688924271240. Its totient is φ = 140348959027200.

The previous prime is 422110114424239. The next prime is 422110114424249. The reversal of 422110114424244 is 442424411011224.

422110114424244 is a `hidden beast` number, since 4 + 2 + 2 + 110 + 114 + 4 + 2 + 424 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (422110114424239) and next prime (422110114424249).

It can be written as a sum of positive squares in 4 ways, for example, as 66921889136400 + 355188225287844 = 8180580^2 + 18846438^2 .

It is a super-2 number, since 2×4221101144242442 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 422110114424199 and 422110114424208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (422110114424249) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 103500412 + ... + 107501420.

Almost surely, 2422110114424244 is an apocalyptic number.

It is an amenable number.

422110114424244 is an abundant number, since it is smaller than the sum of its proper divisors (647578809846996).

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

422110114424244 is a wasteful number, since it uses less digits than its factorization.

422110114424244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4008401 (or 4008396 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 36.

Adding to 422110114424244 its reverse (442424411011224), we get a palindrome (864534525435468).

The spelling of 422110114424244 in words is "four hundred twenty-two trillion, one hundred ten billion, one hundred fourteen million, four hundred twenty-four thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 421 842 1263 1684 2526 3789 5052 6961 7578 13922 15156 20883 27844 41766 62649 83532 125298 250596 2930581 4001009 5861162 8002018 8791743 11722324 12003027 16004036 17583486 24006054 26375229 35166972 36009081 48012108 52750458 72018162 105500916 144036324 1684424789 3368849578 5053274367 6737699156 10106548734 15159823101 20213097468 27851023649 30319646202 55702047298 60639292404 83553070947 111404094596 167106141894 250659212841 334212283788 501318425682 1002636851364 11725280956229 23450561912458 35175842868687 46901123824916 70351685737374 105527528606061 140703371474748 211055057212122 422110114424244