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104311422034344 = 23337157734373869
BaseRepresentation
bin10111101101111011100101…
…010000011010000110101000
3111200100002000100111201111000
4113231323211100122012220
5102133014243020044334
61005504001123435000
730654152164566510
oct2755734520320650
9450302010451430
10104311422034344
1130267253388548
12b848304225a60
1346286a9252585
141ba89b2222840
15c0d5a5a90299
hex5edee541a1a8

104311422034344 has 128 divisors (see below), whose sum is σ = 331168441824000. Its totient is φ = 29801367113472.

The previous prime is 104311422034297. The next prime is 104311422034349. The reversal of 104311422034344 is 443430224113401.

104311422034344 is a `hidden beast` number, since 1 + 0 + 4 + 3 + 1 + 14 + 2 + 203 + 434 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 104311422034299 and 104311422034308.

It is not an unprimeable number, because it can be changed into a prime (104311422034349) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21661842 + ... + 26035710.

It is an arithmetic number, because the mean of its divisors is an integer number (2587253451750).

Almost surely, 2104311422034344 is an apocalyptic number.

104311422034344 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

104311422034344 is an abundant number, since it is smaller than the sum of its proper divisors (226857019789656).

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

104311422034344 is a wasteful number, since it uses less digits than its factorization.

104311422034344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4389664 (or 4389654 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

Adding to 104311422034344 its reverse (443430224113401), we get a palindrome (547741646147745).

The spelling of 104311422034344 in words is "one hundred four trillion, three hundred eleven billion, four hundred twenty-two million, thirty-four thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 84 108 126 168 189 216 252 378 504 756 1512 15773 31546 47319 63092 94638 110411 126184 141957 189276 220822 283914 331233 378552 425871 441644 567828 662466 851742 883288 993699 1135656 1324932 1703484 1987398 2649864 2981097 3406968 3974796 4373869 5962194 7949592 8747738 11924388 13121607 17495476 23848776 26243214 30617083 34990952 39364821 52486428 61234166 78729642 91851249 104972856 118094463 122468332 157459284 183702498 236188926 244936664 275553747 314918568 367404996 472377852 551107494 734809992 826661241 944755704 1102214988 1653322482 2204429976 3306644964 6613289928 68989035737 137978071474 206967107211 275956142948 413934214422 482923250159 551912285896 620901321633 827868428844 965846500318 1241802643266 1448769750477 1655736857688 1862703964899 1931693000636 2483605286532 2897539500954 3725407929798 3863386001272 4346309251431 4967210573064 5795079001908 7450815859596 8692618502862 11590158003816 13038927754293 14901631719192 17385237005724 26077855508586 34770474011448 52155711017172 104311422034344