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312044413041 = 356179439607
BaseRepresentation
bin1001000101001110100…
…10111110000001110001
31002211102220121121100000
410202213102332001301
520103031332204131
6355203510420213
731354515514224
oct4424722760161
91084386547300
10312044413041
11110378a33069
1250587061669
132356c24382a
1411162a015bb
1581b4ca3ce6
hex48a74be071

312044413041 has 96 divisors (see below), whose sum is σ = 482991308800. Its totient is φ = 201236892480.

The previous prime is 312044413007. The next prime is 312044413049. The reversal of 312044413041 is 140314440213.

312044413041 is a `hidden beast` number, since 3 + 1 + 204 + 4 + 413 + 0 + 41 = 666.

It is not a de Polignac number, because 312044413041 - 215 = 312044380273 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 312044412996 and 312044413014.

It is not an unprimeable number, because it can be changed into a prime (312044413049) 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, 514076160 + ... + 514076766.

Almost surely, 2312044413041 is an apocalyptic number.

It is an amenable number.

312044413041 is a deficient number, since it is larger than the sum of its proper divisors (170946895759).

312044413041 is an equidigital number, since it uses as much as digits as its factorization.

312044413041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1201 (or 1189 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 312044413041 its reverse (140314440213), we get a palindrome (452358853254).

The spelling of 312044413041 in words is "three hundred twelve billion, forty-four million, four hundred thirteen thousand, forty-one".

Divisors: 1 3 9 27 61 79 81 183 237 243 439 549 607 711 1317 1647 1821 2133 3951 4819 4941 5463 6399 11853 14457 14823 16389 19197 26779 34681 35559 37027 43371 47953 49167 80337 104043 106677 111081 130113 143859 147501 241011 266473 312129 333243 390339 431577 723033 799419 936387 999729 1171017 1294731 2115541 2169099 2398257 2809161 2925133 2999187 3884193 6346623 6507297 7194771 8427483 8775399 8997561 11652579 16254853 19039869 21051367 21584313 26326197 48764559 57119607 63154101 64752939 78978591 146293677 171358821 189462303 236935773 438881031 514076463 568386909 710807319 1284133387 1316643093 1705160727 3852400161 3949929279 5115482181 11557200483 34671601449 104014804347 312044413041