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104043145456 = 24196714934283
BaseRepresentation
bin110000011100101110…
…1000110100011110000
3100221112221112102010201
41200321131012203300
53201040021123311
6115444033404544
710342200100405
oct1407135064360
9327487472121
10104043145456
1140140709128
12181b7a09754
139a713595c3
1450700062ac
152a8e1839c1
hex18397468f0

104043145456 has 80 divisors (see below), whose sum is σ = 216812016000. Its totient is φ = 48220786944.

The previous prime is 104043145417. The next prime is 104043145487. The reversal of 104043145456 is 654541340401.

It is a super-2 number, since 2×1040431454562 (a number of 23 digits) contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 3017691 + ... + 3051973.

It is an arithmetic number, because the mean of its divisors is an integer number (2710150200).

Almost surely, 2104043145456 is an apocalyptic number.

104043145456 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104043145456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108406008000).

104043145456 is an abundant number, since it is smaller than the sum of its proper divisors (112768870544).

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

104043145456 is a wasteful number, since it uses less digits than its factorization.

104043145456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34526 (or 34520 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 37.

Adding to 104043145456 its reverse (654541340401), we get a palindrome (758584485857).

The spelling of 104043145456 in words is "one hundred four billion, forty-three million, one hundred forty-five thousand, four hundred fifty-six".

Divisors: 1 2 4 8 16 19 38 67 76 134 149 152 268 298 304 536 596 1072 1192 1273 2384 2546 2831 5092 5662 9983 10184 11324 19966 20368 22648 34283 39932 45296 68566 79864 137132 159728 189677 274264 379354 548528 651377 758708 1302754 1517416 2296961 2605508 3034832 4593922 5108167 5211016 9187844 10216334 10422032 18375688 20432668 36751376 40865336 43642259 81730672 87284518 97055173 174569036 194110346 342247189 349138072 388220692 684494378 698276144 776441384 1368988756 1552882768 2737977512 5475955024 6502696591 13005393182 26010786364 52021572728 104043145456