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4145872227057 = 32111631932295813
BaseRepresentation
bin111100010101001001001…
…111011100101011110001
3112200100012222000121211100
4330111021033130223301
51020411221242231212
612452330514035013
7605346402323661
oct74251117345361
915610188017740
104145872227057
111359288875920
1256b5b8278a69
13240c5313a5a2
141049387da1a1
1572c9c4c5bdc
hex3c5493dcaf1

4145872227057 has 96 divisors (see below), whose sum is σ = 6637018677120. Its totient is φ = 2473021808640.

The previous prime is 4145872227019. The next prime is 4145872227143. The reversal of 4145872227057 is 7507222785414.

4145872227057 is a `hidden beast` number, since 4 + 1 + 4 + 587 + 2 + 2 + 2 + 7 + 0 + 57 = 666.

It is not a de Polignac number, because 4145872227057 - 211 = 4145872225009 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 4145872226994 and 4145872227012.

It is not an unprimeable number, because it can be changed into a prime (4145872227257) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 713204083 + ... + 713209895.

It is an arithmetic number, because the mean of its divisors is an integer number (69135611220).

Almost surely, 24145872227057 is an apocalyptic number.

It is an amenable number.

4145872227057 is a deficient number, since it is larger than the sum of its proper divisors (2491146450063).

4145872227057 is a wasteful number, since it uses less digits than its factorization.

4145872227057 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6415 (or 6412 counting only the distinct ones).

The product of its (nonzero) digits is 8780800, while the sum is 54.

The spelling of 4145872227057 in words is "four trillion, one hundred forty-five billion, eight hundred seventy-two million, two hundred twenty-seven thousand, fifty-seven".

Divisors: 1 3 9 11 33 99 163 193 229 489 579 687 1467 1737 1793 2061 2123 2519 5379 5813 6369 7557 16137 17439 19107 22671 31459 37327 44197 52317 63943 94377 111981 132591 191829 283131 335943 346049 397773 410597 486167 575487 947519 1038147 1121909 1231791 1331177 1458501 2842557 3114441 3365727 3695373 3993531 4375503 7204111 8527671 10097181 10422709 11980593 12340999 14642947 21612333 31268127 37022997 43928841 64836999 79245221 93804381 111068991 131786523 182871167 216981851 237735663 256917161 548613501 650945553 713206989 770751483 1645840503 1952836659 2011582837 2312254449 2386800361 2826088771 6034748511 7160401083 8478266313 18104245533 21481203249 25434798939 41877497243 125632491729 376897475187 460652469673 1381957409019 4145872227057