Search a number
-
+
146635156242 = 232172916524133
BaseRepresentation
bin1000100010010000100…
…0101110101100010010
3112000111020220201222200
42020210020232230102
54400302044444432
6151210244144030
713410520156101
oct2104410565422
9460436821880
10146635156242
11572077a5243
1224503998016
1310a9b415553
147150936038
153c334bda7c
hex222422eb12

146635156242 has 48 divisors (see below), whose sum is σ = 347998262040. Its totient is φ = 44416866816.

The previous prime is 146635156193. The next prime is 146635156249. The reversal of 146635156242 is 242651536641.

146635156242 is a `hidden beast` number, since 1 + 4 + 6 + 6 + 3 + 5 + 15 + 624 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 146001174201 + 633982041 = 382101^2 + 25179^2 .

It is a super-3 number, since 3×1466351562423 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (146635156249) 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, 8253193 + ... + 8270940.

Almost surely, 2146635156242 is an apocalyptic number.

146635156242 is an abundant number, since it is smaller than the sum of its proper divisors (201363105798).

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

146635156242 is a wasteful number, since it uses less digits than its factorization.

146635156242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16524187 (or 16524184 counting only the distinct ones).

The product of its digits is 1036800, while the sum is 45.

The spelling of 146635156242 in words is "one hundred forty-six billion, six hundred thirty-five million, one hundred fifty-six thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 17 18 29 34 51 58 87 102 153 174 261 306 493 522 986 1479 2958 4437 8874 16524133 33048266 49572399 99144798 148717197 280910261 297434394 479199857 561820522 842730783 958399714 1437599571 1685461566 2528192349 2875199142 4312798713 5056384698 8146397569 8625597426 16292795138 24439192707 48878385414 73317578121 146635156242