Search a number
-
+
134103042414 = 232113179276557
BaseRepresentation
bin111110011100100101…
…0100000100101101110
3110211010212112101200200
41330321022200211232
54144120334324124
6141334525334330
712455125024065
oct1747112404556
9424125471620
10134103042414
1151966742680
1221ba6a073a6
13c851c63793
1466c23a31dc
15374d18ebc9
hex1f392a096e

134103042414 has 96 divisors (see below), whose sum is σ = 331338608640. Its totient is φ = 38828462400.

The previous prime is 134103042413. The next prime is 134103042421. The reversal of 134103042414 is 414240301431.

134103042414 is a `hidden beast` number, since 1 + 3 + 410 + 3 + 0 + 4 + 241 + 4 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134103042413) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 346624 + ... + 623180.

It is an arithmetic number, because the mean of its divisors is an integer number (3451443840).

Almost surely, 2134103042414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 134103042414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165669304320).

134103042414 is an abundant number, since it is smaller than the sum of its proper divisors (197235566226).

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

134103042414 is a wasteful number, since it uses less digits than its factorization.

134103042414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276686 (or 276683 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 134103042414 its reverse (414240301431), we get a palindrome (548343343845).

The spelling of 134103042414 in words is "one hundred thirty-four billion, one hundred three million, forty-two thousand, four hundred fourteen".

Divisors: 1 2 3 6 9 11 18 22 31 33 62 66 79 93 99 158 186 198 237 279 341 474 558 682 711 869 1023 1422 1738 2046 2449 2607 3069 4898 5214 6138 7347 7821 14694 15642 22041 26939 44082 53878 80817 161634 242451 276557 484902 553114 829671 1659342 2489013 3042127 4978026 6084254 8573267 9126381 17146534 18252762 21848003 25719801 27379143 43696006 51439602 54758286 65544009 77159403 94305937 131088018 154318806 188611874 196632027 240328033 282917811 393264054 480656066 565835622 677288093 720984099 848753433 1354576186 1441968198 1697506866 2031864279 2162952297 4063728558 4325904594 6095592837 7450169023 12191185674 14900338046 22350507069 44701014138 67051521207 134103042414