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42504103501244 = 227112771606131019
BaseRepresentation
bin10011010101000010000011…
…11111011001110110111100
312120111100112001110000222122
421222201001333121312330
521032341400444014434
6230222040544502112
711644551210441560
oct1152410177316674
9176440461400878
1042504103501244
11125a798638a5a0
1249256b631a938
131a94173169638
14a6d2d11656a0
154da968be9c2e
hex26a841fd9dbc

42504103501244 has 96 divisors (see below), whose sum is σ = 93079809123840. Its totient is φ = 16498697529600.

The previous prime is 42504103501241. The next prime is 42504103501261. The reversal of 42504103501244 is 44210530140524.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42504103501241) 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, 1370244767 + ... + 1370275785.

It is an arithmetic number, because the mean of its divisors is an integer number (969581345040).

Almost surely, 242504103501244 is an apocalyptic number.

42504103501244 is a gapful number since it is divisible by the number (44) 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 42504103501244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46539904561920).

42504103501244 is an abundant number, since it is smaller than the sum of its proper divisors (50575705622596).

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

42504103501244 is a wasteful number, since it uses less digits than its factorization.

42504103501244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47379 (or 47377 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 35.

Adding to 42504103501244 its reverse (44210530140524), we get a palindrome (86714633641768).

The spelling of 42504103501244 in words is "forty-two trillion, five hundred four billion, one hundred three million, five hundred one thousand, two hundred forty-four".

Divisors: 1 2 4 7 11 14 22 28 44 77 154 277 308 554 1108 1939 3047 3878 6094 7756 12188 16061 21329 31019 32122 42658 62038 64244 85316 112427 124076 176671 217133 224854 341209 353342 434266 449708 682418 706684 868532 1236697 1364836 2388463 2473394 4448897 4776926 4946788 8592263 8897794 9553852 17184526 17795588 31142279 34369052 48937867 60145841 62284558 94514893 97875734 120291682 124569116 189029786 195751468 240583364 342565069 378059572 498196159 661604251 685130138 996392318 1323208502 1370260276 1992784636 2646417004 3487373113 5480157749 6974746226 10960315498 13949492452 21920630996 38361104243 76722208486 138000336043 153444416972 276000672086 552001344172 966002352301 1518003696473 1932004704602 3036007392946 3864009409204 6072014785892 10626025875311 21252051750622 42504103501244