Search a number
-
+
104301241244040 = 2335869177010367
BaseRepresentation
bin10111101101110010000110…
…011011110001100110001000
3111200022002201211112222200110
4113231302012123301212020
5102132332420224302130
61005455155002034320
730653341663365231
oct2755620633614610
9450262654488613
10104301241244040
11302629a9611065
12b8463427a89a0
134627745c755b9
141ba82c807c088
15c0d1abdbeab0
hex5edc866f1988

104301241244040 has 32 divisors (see below), whose sum is σ = 312903723732480. Its totient is φ = 27813664331712.

The previous prime is 104301241243919. The next prime is 104301241244059. The reversal of 104301241244040 is 40442142103401.

It is a happy number.

It is a super-3 number, since 3×1043012412440403 (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 104301241243989 and 104301241244007.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 434588505064 + ... + 434588505303.

It is an arithmetic number, because the mean of its divisors is an integer number (9778241366640).

Almost surely, 2104301241244040 is an apocalyptic number.

104301241244040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

104301241244040 is an abundant number, since it is smaller than the sum of its proper divisors (208602482488440).

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

104301241244040 is a wasteful number, since it uses less digits than its factorization.

104301241244040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 869177010381 (or 869177010377 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 30.

Adding to 104301241244040 its reverse (40442142103401), we get a palindrome (144743383347441).

The spelling of 104301241244040 in words is "one hundred four trillion, three hundred one billion, two hundred forty-one million, two hundred forty-four thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 869177010367 1738354020734 2607531031101 3476708041468 4345885051835 5215062062202 6953416082936 8691770103670 10430124124404 13037655155505 17383540207340 20860248248808 26075310311010 34767080414680 52150620622020 104301241244040