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104032341144 = 233319197912809
BaseRepresentation
bin110000011100011001…
…1111000110010011000
3100221112012012111102000
41200320303320302120
53201024234404034
6115443010041000
710342006211064
oct1407063706230
9327465174360
10104032341144
11401355a9746
12181b4279160
139a6c045914
14506c7d2aa4
152a8d24c599
hex1838cf8c98

104032341144 has 128 divisors (see below), whose sum is σ = 304365600000. Its totient is φ = 32833154304.

The previous prime is 104032341137. The next prime is 104032341209. The reversal of 104032341144 is 441143230401.

104032341144 is a `hidden beast` number, since 10 + 403 + 234 + 1 + 14 + 4 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8115412 + ... + 8128220.

It is an arithmetic number, because the mean of its divisors is an integer number (2377856250).

Almost surely, 2104032341144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104032341144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152182800000).

104032341144 is an abundant number, since it is smaller than the sum of its proper divisors (200333258856).

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

104032341144 is a wasteful number, since it uses less digits than its factorization.

104032341144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14822 (or 14812 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 104032341144 its reverse (441143230401), we get a palindrome (545175571545).

The spelling of 104032341144 in words is "one hundred four billion, thirty-two million, three hundred forty-one thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 27 36 38 54 57 72 76 108 114 152 171 216 228 342 456 513 684 1026 1368 1979 2052 3958 4104 5937 7916 11874 12809 15832 17811 23748 25618 35622 37601 38427 47496 51236 53433 71244 75202 76854 102472 106866 112803 115281 142488 150404 153708 213732 225606 230562 243371 300808 307416 338409 345843 427464 451212 461124 486742 676818 691686 730113 902424 922248 973484 1015227 1353636 1383372 1460226 1946968 2030454 2190339 2707272 2766744 2920452 4060908 4380678 5840904 6571017 8121816 8761356 13142034 17522712 25349011 26284068 50698022 52568136 76047033 101396044 152094066 202792088 228141099 304188132 456282198 481631209 608376264 684423297 912564396 963262418 1368846594 1444893627 1825128792 1926524836 2737693188 2889787254 3853049672 4334680881 5475386376 5779574508 8669361762 11559149016 13004042643 17338723524 26008085286 34677447048 52016170572 104032341144