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4198338914 = 2721119712887
BaseRepresentation
bin1111101000111101…
…1001000101100010
3101211120220201021212
43322033121011202
532044233321124
61532332550122
7206016202100
oct37217310542
911746821255
104198338914
111864942190
12992022342
1351ba46913
142bb822c70
151988a240e
hexfa3d9162

4198338914 has 96 divisors (see below), whose sum is σ = 8533693440. Its totient is φ = 1527271200.

The previous prime is 4198338901. The next prime is 4198338953.

4198338914 is nontrivially palindromic in base 10.

It is a Curzon 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 47 ways as a sum of consecutive naturals, for example, 1452779 + ... + 1455665.

It is an arithmetic number, because the mean of its divisors is an integer number (88892640).

Almost surely, 24198338914 is an apocalyptic number.

4198338914 is an abundant number, since it is smaller than the sum of its proper divisors (4335354526).

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

4198338914 is a wasteful number, since it uses less digits than its factorization.

4198338914 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3004 (or 2997 counting only the distinct ones).

The product of its digits is 746496, while the sum is 50.

The square root of 4198338914 is about 64794.5901599817. The cubic root of 4198338914 is about 1613.2159160936.

The spelling of 4198338914 in words is "four billion, one hundred ninety-eight million, three hundred thirty-eight thousand, nine hundred fourteen".

Divisors: 1 2 7 11 14 19 22 38 49 71 77 98 133 142 154 209 266 418 497 539 781 931 994 1078 1349 1463 1562 1862 2698 2887 2926 3479 5467 5774 6958 9443 10241 10934 14839 18886 20209 20482 29678 31757 38269 40418 54853 63514 66101 76538 103873 109706 132202 141463 204977 207746 222299 282926 383971 409954 444598 603383 727111 767942 1206766 1434839 1454222 1556093 2254747 2687797 2869678 3112186 3894563 4223681 4509494 5375594 7789126 8447362 10043873 15783229 20087746 27261941 29565767 31566458 42840193 54523882 59131534 85680386 110482603 190833587 220965206 299881351 381667174 599762702 2099169457 4198338914