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4312141548897 = 3721319313831043
BaseRepresentation
bin111110101111111111101…
…010100100110101100001
3120021020101120002022121110
4332233333222210311201
51031122231214031042
613100545342413533
7623353613253300
oct76577752446541
916236346068543
104312141548897
11141285053a2a6
1259787b5912a9
132538301bc1b0
1410c9ccbc8437
157727e54a09c
hex3ebffaa4d61

4312141548897 has 96 divisors (see below), whose sum is σ = 7826363166720. Its totient is φ = 2085312781440.

The previous prime is 4312141548809. The next prime is 4312141549007. The reversal of 4312141548897 is 7988451412134.

It is not a de Polignac number, because 4312141548897 - 224 = 4312124771681 is a prime.

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is not an unprimeable number, because it can be changed into a prime (4312141648897) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 789943 + ... + 3041100.

It is an arithmetic number, because the mean of its divisors is an integer number (81524616320).

Almost surely, 24312141548897 is an apocalyptic number.

It is an amenable number.

4312141548897 is a deficient number, since it is larger than the sum of its proper divisors (3514221617823).

4312141548897 is a wasteful number, since it uses less digits than its factorization.

4312141548897 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3831123 (or 3831116 counting only the distinct ones).

The product of its digits is 7741440, while the sum is 57.

The spelling of 4312141548897 in words is "four trillion, three hundred twelve billion, one hundred forty-one million, five hundred forty-eight thousand, eight hundred ninety-seven".

Divisors: 1 3 7 13 19 21 31 39 49 57 91 93 133 147 217 247 273 399 403 589 637 651 741 931 1209 1519 1729 1767 1911 2793 2821 4123 4557 5187 7657 8463 12103 12369 19747 22971 28861 36309 53599 59241 86583 160797 375193 1125579 3831043 11493129 26817301 49803559 72789817 80451903 118762333 149410677 187721107 218369451 348624913 356286999 509528719 563163321 831336331 946267621 1045874739 1528586157 1543910329 2256484327 2440374391 2494008993 2838802863 3566701033 4631730987 5819354317 6623873347 6769452981 7321123173 10700103099 10807372303 15795390289 17458062951 19871620041 29334296251 32422116909 46367113429 47386170867 75651606121 88002888753 110567732023 139101340287 205340073757 226954818363 331703196069 616020221271 1437380516299 4312141548897