Search a number
-
+
3024114134132 = 22713371271768037
BaseRepresentation
bin101100000000011011001…
…111111010110001110100
3101201002202201021012202002
4230000123033322301310
5344021341204243012
610233131525034432
7431325240005120
oct54003317726164
911632681235662
103024114134132
11a66579654653
1240a115855a18
1318c23267b220
14a6521762580
15539e677c7c2
hex2c01b3fac74

3024114134132 has 96 divisors (see below), whose sum is σ = 6742193676288. Its totient is φ = 1154852826624.

The previous prime is 3024114134131. The next prime is 3024114134147. The reversal of 3024114134132 is 2314314114203.

3024114134132 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 3024114134095 and 3024114134104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3024114134131) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 826418 + ... + 2594454.

It is an arithmetic number, because the mean of its divisors is an integer number (70231184128).

Almost surely, 23024114134132 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 3024114134132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3371096838144).

3024114134132 is an abundant number, since it is smaller than the sum of its proper divisors (3718079542156).

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

3024114134132 is a wasteful number, since it uses less digits than its factorization.

3024114134132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1768225 (or 1768223 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 29.

Adding to 3024114134132 its reverse (2314314114203), we get a palindrome (5338428248335).

The spelling of 3024114134132 in words is "three trillion, twenty-four billion, one hundred fourteen million, one hundred thirty-four thousand, one hundred thirty-two".

Divisors: 1 2 4 7 13 14 26 28 37 52 74 91 127 148 182 254 259 364 481 508 518 889 962 1036 1651 1778 1924 3302 3367 3556 4699 6604 6734 9398 11557 13468 18796 23114 32893 46228 61087 65786 122174 131572 244348 427609 855218 1710436 1768037 3536074 7072148 12376259 22984481 24752518 45968962 49505036 65417369 91937924 130834738 160891367 224540699 261669476 321782734 449081398 457921583 643565468 850425797 898162796 915843166 1571784893 1700851594 1831686332 2919029087 3143569786 3401703188 5838058174 5952980579 6287139572 8308005863 11676116348 11905961158 16616011726 20433203609 23811922316 33232023452 40866407218 58156041041 81732814436 108004076219 116312082082 216008152438 232624164164 432016304876 756028533533 1512057067066 3024114134132