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6106031024040 = 2332516961197289
BaseRepresentation
bin101100011011010101111…
…0011110110011110101000
3210121201201210121122210200
41120312223303312132220
51300020122420232130
620553023311512200
71200101066230143
oct130665363663650
923551653548720
106106031024040
111a4460a369142
12827481528660
13353a474ab3cc
14171767c1705a
15a8c728d7760
hex58dabcf67a8

6106031024040 has 48 divisors (see below), whose sum is σ = 19844600829300. Its totient is φ = 1628274939648.

The previous prime is 6106031024029. The next prime is 6106031024059. The reversal of 6106031024040 is 404201306016.

6106031024040 is a `hidden beast` number, since 6 + 1 + 0 + 603 + 10 + 2 + 4 + 0 + 40 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 5557136740164 + 548894283876 = 2357358^2 + 740874^2 .

It is a super-2 number, since 2×61060310240402 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 6106031023995 and 6106031024013.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8480598285 + ... + 8480599004.

Almost surely, 26106031024040 is an apocalyptic number.

6106031024040 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6106031024040 is an abundant number, since it is smaller than the sum of its proper divisors (13738569805260).

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

6106031024040 is a wasteful number, since it uses less digits than its factorization.

6106031024040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16961197306 (or 16961197299 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The spelling of 6106031024040 in words is "six trillion, one hundred six billion, thirty-one million, twenty-four thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 16961197289 33922394578 50883591867 67844789156 84805986445 101767183734 135689578312 152650775601 169611972890 203534367468 254417959335 305301551202 339223945780 407068734936 508835918670 610603102404 678447891560 763253878005 1017671837340 1221206204808 1526507756010 2035343674680 3053015512020 6106031024040