Search a number
-
+
3542424511212 = 22321018571136831
BaseRepresentation
bin110011100011001000111…
…101000110001011101100
3110112122121122200110022200
4303203020331012023230
5431014341133324322
611311211203141500
7513634403346156
oct63431075061354
913478548613280
103542424511212
111146374316394
12492666974890
131c908411b742
14c36506c7ad6
156222eb278ac
hex338c8f462ec

3542424511212 has 72 divisors (see below), whose sum is σ = 9053680027392. Its totient is φ = 1167751776000.

The previous prime is 3542424511189. The next prime is 3542424511217. The reversal of 3542424511212 is 2121154242453.

3542424511212 is a `hidden beast` number, since 3 + 5 + 4 + 2 + 424 + 5 + 11 + 212 = 666.

3542424511212 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×35424245112123 (a number of 39 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (3542424511217) 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, 2547637 + ... + 3684467.

It is an arithmetic number, because the mean of its divisors is an integer number (125745555936).

Almost surely, 23542424511212 is an apocalyptic number.

It is an amenable number.

3542424511212 is an abundant number, since it is smaller than the sum of its proper divisors (5511255516180).

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

3542424511212 is a wasteful number, since it uses less digits than its factorization.

3542424511212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1137799 (or 1137794 counting only the distinct ones).

The product of its digits is 76800, while the sum is 36.

Adding to 3542424511212 its reverse (2121154242453), we get a palindrome (5663578753665).

The spelling of 3542424511212 in words is "three trillion, five hundred forty-two billion, four hundred twenty-four million, five hundred eleven thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 101 202 303 404 606 857 909 1212 1714 1818 2571 3428 3636 5142 7713 10284 15426 30852 86557 173114 259671 346228 519342 779013 1038684 1136831 1558026 2273662 3116052 3410493 4547324 6820986 10231479 13641972 20462958 40925916 114819931 229639862 344459793 459279724 688919586 974264167 1033379379 1377839172 1948528334 2066758758 2922792501 3897056668 4133517516 5845585002 8768377503 11691170004 17536755006 35073510012 98400680867 196801361734 295202042601 393602723468 590404085202 885606127803 1180808170404 1771212255606 3542424511212