Search a number
-
+
338442196158 = 234111523124703
BaseRepresentation
bin1001110110011001011…
…10100001010010111110
31012100120121200221010000
410323030232201102332
521021112200234113
6415251142455130
733310625126103
oct4731456412276
91170517627100
10338442196158
11120594884250
12557137344a6
1325bb8230741
1412548880aaa
158c0c52e373
hex4eccba14be

338442196158 has 80 divisors (see below), whose sum is σ = 827852990976. Its totient is φ = 102490079760.

The previous prime is 338442196111. The next prime is 338442196163. The reversal of 338442196158 is 851691244833.

It is a happy number.

338442196158 is a `hidden beast` number, since 3 + 3 + 8 + 4 + 4 + 2 + 19 + 615 + 8 = 666.

It is a super-2 number, since 2×3384421961582 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2651635 + ... + 2776337.

Almost surely, 2338442196158 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 338442196158, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (413926495488).

338442196158 is an abundant number, since it is smaller than the sum of its proper divisors (489410794818).

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

338442196158 is a wasteful number, since it uses less digits than its factorization.

338442196158 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126251 (or 126242 counting only the distinct ones).

The product of its digits is 4976640, while the sum is 54.

The spelling of 338442196158 in words is "three hundred thirty-eight billion, four hundred forty-two million, one hundred ninety-six thousand, one hundred fifty-eight".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 81 99 162 198 297 594 891 1523 1782 3046 4569 9138 13707 16753 27414 33506 41121 50259 82242 100518 123363 124703 150777 246726 249406 301554 374109 452331 748218 904662 1122327 1356993 1371733 2244654 2713986 2743466 3366981 4115199 6733962 8230398 10100943 12345597 20201886 24691194 37036791 74073582 111110373 189922669 222220746 379845338 569768007 1139536014 1709304021 2089149359 3418608042 4178298718 5127912063 6267448077 10255824126 12534896154 15383736189 18802344231 30767472378 37604688462 56407032693 112814065386 169221098079 338442196158