Search a number
-
+
103805590440 = 23352311374317
BaseRepresentation
bin110000010101101001…
…0111001101110101000
3100220221101112100220210
41200223102321232220
53200043212343230
6115404310021120
710333253650236
oct1405322715650
9326841470823
10103805590440
1140029605572
12181503477a0
139a340835c6
14504a649956
152a783abeb0
hex182b4b9ba8

103805590440 has 64 divisors (see below), whose sum is σ = 311552357760. Its totient is φ = 27669438720.

The previous prime is 103805590379. The next prime is 103805590477. The reversal of 103805590440 is 44095508301.

103805590440 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 90162 + ... + 464478.

It is an arithmetic number, because the mean of its divisors is an integer number (4868005590).

Almost surely, 2103805590440 is an apocalyptic number.

103805590440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103805590440 is an abundant number, since it is smaller than the sum of its proper divisors (207746767320).

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

103805590440 is a wasteful number, since it uses less digits than its factorization.

103805590440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 376642 (or 376638 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 39.

The spelling of 103805590440 in words is "one hundred three billion, eight hundred five million, five hundred ninety thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 2311 4622 6933 9244 11555 13866 18488 23110 27732 34665 46220 55464 69330 92440 138660 277320 374317 748634 1122951 1497268 1871585 2245902 2994536 3743170 4491804 5614755 7486340 8983608 11229510 14972680 22459020 44918040 865046587 1730093174 2595139761 3460186348 4325232935 5190279522 6920372696 8650465870 10380559044 12975698805 17300931740 20761118088 25951397610 34601863480 51902795220 103805590440