Search a number
-
+
30014151104 = 267261156899
BaseRepresentation
bin11011111100111110…
…111001100111000000
32212110201220212001002
4123330332321213000
5442432110313404
621442135231132
72111531034500
oct337476714700
985421825032
1030014151104
1111802229a63
1259978184a8
132aa42ab232
14164a28da00
15ba9ec1c1e
hex6fcfb99c0

30014151104 has 84 divisors (see below), whose sum is σ = 70419544200. Its totient is φ = 12652254720.

The previous prime is 30014151091. The next prime is 30014151107. The reversal of 30014151104 is 40115141003.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30014151107) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 112847 + ... + 269745.

Almost surely, 230014151104 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 30014151104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35209772100).

30014151104 is an abundant number, since it is smaller than the sum of its proper divisors (40405393096).

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

30014151104 is a wasteful number, since it uses less digits than its factorization.

30014151104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156986 (or 156969 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 20.

Adding to 30014151104 its reverse (40115141003), we get a palindrome (70129292107).

The spelling of 30014151104 in words is "thirty billion, fourteen million, one hundred fifty-one thousand, one hundred four".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 61 64 98 112 122 196 224 244 392 427 448 488 784 854 976 1568 1708 1952 2989 3136 3416 3904 5978 6832 11956 13664 23912 27328 47824 95648 156899 191296 313798 627596 1098293 1255192 2196586 2510384 4393172 5020768 7688051 8786344 9570839 10041536 15376102 17572688 19141678 30752204 35145376 38283356 61504408 66995873 70290752 76566712 123008816 133991746 153133424 246017632 267983492 306266848 468971111 492035264 535966984 612533696 937942222 1071933968 1875884444 2143867936 3751768888 4287735872 7503537776 15007075552 30014151104