Search a number
-
+
3413142204032 = 27112424106679
BaseRepresentation
bin110001101010101111001…
…000001110111010000000
3110002021220202012210011102
4301222233020032322000
5421410103401012112
611131550442433532
7501406563022541
oct61525710167200
913067822183142
103413142204032
1110a6561880520
124715a65028a8
131b9b1cb3c522
14bb2a86804c8
155dbb4ccdbc2
hex31aaf20ee80

3413142204032 has 32 divisors (see below), whose sum is σ = 7417766440800. Its totient is φ = 1551428273920.

The previous prime is 3413142203993. The next prime is 3413142204041. The reversal of 3413142204032 is 2304022413143.

It is a tau number, because it is divible by the number of its divisors (32).

It is a junction number, because it is equal to n+sod(n) for n = 3413142203986 and 3413142204004.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 1212051932 + ... + 1212054747.

It is an arithmetic number, because the mean of its divisors is an integer number (231805201275).

Almost surely, 23413142204032 is an apocalyptic number.

3413142204032 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

3413142204032 is an abundant number, since it is smaller than the sum of its proper divisors (4004624236768).

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

3413142204032 is a wasteful number, since it uses less digits than its factorization.

3413142204032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2424106704 (or 2424106692 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 29.

Adding to 3413142204032 its reverse (2304022413143), we get a palindrome (5717164617175).

The spelling of 3413142204032 in words is "three trillion, four hundred thirteen billion, one hundred forty-two million, two hundred four thousand, thirty-two".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 352 704 1408 2424106679 4848213358 9696426716 19392853432 26665173469 38785706864 53330346938 77571413728 106660693876 155142827456 213321387752 310285654912 426642775504 853285551008 1706571102016 3413142204032