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4241799750969 = 3211213924492
BaseRepresentation
bin111101101110011110111…
…101111010010100111001
3120000111211022120202010100
4331232132331322110321
51023444201214012334
613004353401510013
7615313515660234
oct75563675722471
916014738522110
104241799750969
111395a34415400
1258610a1a2309
1324a000000a61
14109438a3c41b
1575513e20c99
hex3db9ef7a539

4241799750969 has 81 divisors (see below), whose sum is σ = 6798625989519. Its totient is φ = 2546608458240.

The previous prime is 4241799750959. The next prime is 4241799750971. The reversal of 4241799750969 is 9690579971424.

The square root of 4241799750969 is 2059563.

It is a perfect power (a square), and thus also a powerful number.

4241799750969 is a `hidden beast` number, since 4 + 2 + 41 + 79 + 9 + 7 + 509 + 6 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2592219141369 + 1649580609600 = 1610037^2 + 1284360^2 .

It is not a de Polignac number, because 4241799750969 - 27 = 4241799750841 is a prime.

It is a super-2 number, since 2×42417997509692 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4241799750897 and 4241799750906.

It is not an unprimeable number, because it can be changed into a prime (4241799750959) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 9447215257 + ... + 9447215705.

Almost surely, 24241799750969 is an apocalyptic number.

4241799750969 is the 2059563-rd square number.

4241799750969 is the 1029782-nd centered octagonal number.

It is an amenable number.

4241799750969 is a deficient number, since it is larger than the sum of its proper divisors (2556826238550).

4241799750969 is an equidigital number, since it uses as much as digits as its factorization.

4241799750969 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1204 (or 602 counting only the distinct ones).

The product of its (nonzero) digits is 308629440, while the sum is 72.

The spelling of 4241799750969 in words is "four trillion, two hundred forty-one billion, seven hundred ninety-nine million, seven hundred fifty thousand, nine hundred sixty-nine".

Divisors: 1 3 9 11 33 99 121 139 363 417 449 1089 1251 1347 1529 4041 4587 4939 13761 14817 16819 19321 44451 50457 54329 57963 62411 151371 162987 173889 187233 201601 212531 488961 561699 604803 637593 686521 1814409 1912779 2059563 2217611 2337841 6178689 6652833 7013523 7551731 8675129 19958499 21040569 22655193 24393721 26025387 28022539 67965579 73181163 78076161 84067617 95426419 219543489 252202851 286279257 308247929 858837771 924743787 1049690609 2774231361 3149071827 3390727219 3895132921 9447215481 10172181657 11685398763 30516544971 35056196289 42846462131 128539386393 385618159179 471311083441 1413933250323 4241799750969