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104312144520 = 2333596585319
BaseRepresentation
bin110000100100101111…
…1010000001010001000
3100222020200200222111000
41201021133100022020
53202112402111040
6115530443135000
710351644412263
oct1411137201210
9328220628430
10104312144520
1140269539101
1218271b14460
139ab4cc194c
145097a29cda
152aa7abc130
hex18497d0288

104312144520 has 64 divisors (see below), whose sum is σ = 347707152000. Its totient is φ = 27816571584.

The previous prime is 104312144509. The next prime is 104312144579. The reversal of 104312144520 is 25441213401.

104312144520 is a `hidden beast` number, since 10 + 4 + 3 + 121 + 4 + 4 + 520 = 666.

It is a super-2 number, since 2×1043121445202 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 48291580 + ... + 48293739.

It is an arithmetic number, because the mean of its divisors is an integer number (5432924250).

Almost surely, 2104312144520 is an apocalyptic number.

104312144520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

104312144520 is an abundant number, since it is smaller than the sum of its proper divisors (243395007480).

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

104312144520 is a wasteful number, since it uses less digits than its factorization.

104312144520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96585339 (or 96585329 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 104312144520 its reverse (25441213401), we get a palindrome (129753357921).

It can be divided in two parts, 104312 and 144520, that added together give a 5-th power (248832 = 125).

The spelling of 104312144520 in words is "one hundred four billion, three hundred twelve million, one hundred forty-four thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 180 216 270 360 540 1080 96585319 193170638 289755957 386341276 482926595 579511914 772682552 869267871 965853190 1159023828 1448779785 1738535742 1931706380 2318047656 2607803613 2897559570 3477071484 3863412760 4346339355 5215607226 5795119140 6954142968 8692678710 10431214452 11590238280 13039018065 17385357420 20862428904 26078036130 34770714840 52156072260 104312144520