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4381190814 = 2371113256113
BaseRepresentation
bin1000001010010001…
…11010101010011110
3102022022222112221110
410011020322222132
532433041101224
62002424042450
7213366336030
oct40510725236
912268875843
104381190814
111949082560
12a23303426
1354a8a8900
142d7c1dc50
151a9970929
hex10523aa9e

4381190814 has 96 divisors (see below), whose sum is σ = 11829729024. Its totient is φ = 1050416640.

The previous prime is 4381190767. The next prime is 4381190843. The reversal of 4381190814 is 4180911834.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 50022 + ... + 106134.

It is an arithmetic number, because the mean of its divisors is an integer number (123226344).

Almost surely, 24381190814 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4381190814, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5914864512).

4381190814 is an abundant number, since it is smaller than the sum of its proper divisors (7448538210).

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

4381190814 is a wasteful number, since it uses less digits than its factorization.

4381190814 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56162 (or 56149 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 39.

The square root of 4381190814 is about 66190.5643879851. The cubic root of 4381190814 is about 1636.3042415249.

The spelling of 4381190814 in words is "four billion, three hundred eighty-one million, one hundred ninety thousand, eight hundred fourteen".

Divisors: 1 2 3 6 7 11 13 14 21 22 26 33 39 42 66 77 78 91 143 154 169 182 231 273 286 338 429 462 507 546 858 1001 1014 1183 1859 2002 2366 3003 3549 3718 5577 6006 7098 11154 13013 26026 39039 56113 78078 112226 168339 336678 392791 617243 729469 785582 1178373 1234486 1458938 1851729 2188407 2356746 3703458 4320701 4376814 5106283 8024159 8641402 9483097 10212566 12962103 15318849 16048318 18966194 24072477 25924206 28449291 30637698 48144954 56169113 56898582 66381679 104314067 112338226 132763358 168507339 199145037 208628134 312942201 337014678 398290074 625884402 730198469 1460396938 2190595407 4381190814